University of Groningen Measurement of forward W and Z ...Aaij, R., Beteta, C. A., Adeva, B.,...

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Measurement of forward W and Z boson production in pp collisions at root s=8TeVAaij R Beteta C Abellan Adeva B Adinolfi M Affolder A Ajaltouni Z Akar SAlbrecht J Alessio F Alexander MPublished inJournal of High Energy Physics

DOI101007JHEP01(2016)155

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JHEP01(2016)155

Published for SISSA by Springer

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Published January 26 2016

Measurement of forward W and Z boson production

in pp collisions atradics = 8 TeV

The LHCb collaboration

E-mail simonebifanicernch

Abstract Measurements are presented of electroweak boson production using data from

pp collisions at a centre-of-mass energy ofradics = 8 TeV The analysis is based on an inte-

grated luminosity of 20 fbminus1 recorded with the LHCb detector The bosons are identified

in the W rarr microν and Z rarr micro+microminus decay channels The cross-sections are measured for muons

in the pseudorapidity range 20 lt η lt 45 with transverse momenta pT gt 20 GeVc and in

the case of the Z boson a dimuon mass within 60 lt Mmicro+microminus lt 120 GeVc2 The results are

σW+rarrmicro+ν = 10936plusmn 21plusmn 72plusmn 109plusmn 127 pb

σWminusrarrmicrominusν = 8184plusmn 19plusmn 50plusmn 70plusmn 95 pb

σZrarrmicro+microminus = 950plusmn 03plusmn 07plusmn 11plusmn 11 pb

where the first uncertainties are statistical the second are systematic the third are due to

the knowledge of the LHC beam energy and the fourth are due to the luminosity determi-

nation The evolution of the W and Z boson cross-sections with centre-of-mass energy is

studied using previously reported measurements with 10 fbminus1 of data at 7 TeV Differential

distributions are also presented Results are in good agreement with theoretical predictions

at next-to-next-to-leading order in perturbative quantum chromodynamics

Keywords Electroweak interaction Hadron-Hadron scattering Forward physics

ArXiv ePrint 151108039

Open Access Copyright CERN

for the benefit of the LHCb Collaboration

Article funded by SCOAP3

doi101007JHEP01(2016)155

JHEP01(2016)155

Contents

1 Introduction 1

2 Detector and data set 2

3 Event yield 3

4 Cross-section measurement 5

41 Muon reconstruction efficiencies 6

42 GEC efficiency 6

43 Final-state radiation 7

44 Selection efficiencies 7

45 Acceptance 7

46 Unfolding the detector response 7

47 Systematic uncertainties 8

5 Results 9

51 Cross-sections atradics = 8 TeV 9

52 Ratios of cross-sections atradics = 8 TeV 12

53 Ratios of cross-sections at different centre-of-mass energies 14

6 Conclusions 20

A Differential measurements 22

B Correlation matrices 30

The LHCb collaboration 40

1 Introduction

Measurements of W and Z boson production cross-sections at hadron colliders constitute

important tests of the Standard Model (SM)1 Theoretical predictions for these cross-

sections are available at next-to-next-to-leading order (NNLO) in perturbative quantum

chromodynamics [1ndash5] The dominant uncertainty on these predictions reflects the un-

certainties on the parton density functions (PDFs) The forward acceptance of the LHCb

detector allows the PDFs to be constrained at Bjorken-x values down to 10minus4 [6] Ratios of

the W and Z cross-sections provide precise tests of the SM as the sensitivity to the PDFs in

the theoretical calculations is reduced and many of the experimental uncertainties cancel

1Throughout this article Z is used to denote the Zγlowast contributions

ndash 1 ndash

JHEP01(2016)155

During LHC Run 1 data were collected at centre-of-mass energiesradics of 7 TeV and

8 TeV providing two distinct samples for measurements of the electroweak boson produc-

tion cross-sections The evolution of the cross-sections and cross-section ratios may be

used to infer the existence of physics beyond the Standard Model (BSM) [7]

LHCb has measured the W boson production cross-section atradics = 7 TeV using the

muon channel [8] and that of Z bosons decaying to muon [9] electron [10] and tau lep-

ton [11] pairs using a data set of 10 fbminus1 The Z boson production cross-section atradics = 8 TeV has also been measured using decays to electron pairs [12] Similar mea-

surements have also been performed by the ATLAS [13] and CMS [14ndash16] collaborations

although in different kinematic regions

The measurements of inclusive W and Z boson cross-sections atradics = 8 TeV described

here are performed following the same procedure as detailed in refs [8 9] The cross-

sections are defined for muons with transverse momentum pT gt 20 GeVc and pseudora-

pidity in the range 20 lt η lt 45 In the case of the Z boson measurements the invariant

mass of the two muons is required to be in the range 60 lt Mmicromicro lt 120 GeVc2 These

kinematic requirements define the fiducial region of the measurement and are referred to

as the fiducial requirements in this article Total cross-sections are presented as well as

differential cross-sections as functions of η of the muons and of the Z boson rapidity yZ

transverse momentum pTZ and φlowastη [17] Here φlowastη is defined as2

φlowastη equivtan (φacop2)

cosh (∆η2) (11)

where the angle φacop = π minus |∆φ| depends on the difference ∆φ in azimuthal angle be-

tween the two muon momenta while the difference between their pseudorapidities is de-

noted by ∆η Differential cross-section ratios and the muon charge asymmetry arising

from the W production charge asymmetry are also determined as a function of the muon

pseudorapidity

This article is organised as follows section 2 describes the LHCb detector section 3

details the selection of W and Z boson candidate samples section 4 defines the W and

Z boson cross-sections and summarises the relevant sources of systematic uncertainty as

well as their estimation section 5 presents the results and section 6 concludes the article

Appendices A and B provide tables of differential cross-sections and correlations between

these measurements

2 Detector and data set

The LHCb detector [18 19] is a single-arm forward spectrometer covering the

pseudorapidity range 2 lt η lt 5 designed for the study of particles containing b or c

quarks The detector includes a high-precision tracking system consisting of a silicon-strip

vertex detector surrounding the pp interaction region a large-area silicon-strip detector

located upstream of a dipole magnet with a bending power of about 4 Tm and three sta-

tions of silicon-strip detectors and straw drift tubes placed downstream of the magnet

The tracking system provides a measurement of momentum p of charged particles with

2The φlowastη definition in this article is equivalent to the definitions in refs [9 10 12]

ndash 2 ndash

JHEP01(2016)155

a relative uncertainty that varies from 05 at low momentum to 10 at 200 GeVc The

minimum distance of a track to a primary vertex the impact parameter (IP) is measured

with a resolution of (15 + 29pT)microm where pT is the component of the momentum trans-

verse to the beam in GeVc Different types of charged hadrons are distinguished using

information from two ring-imaging Cherenkov detectors Photons electrons and hadrons

are identified by a calorimeter system consisting of a scintillating-pad detector (SPD)

preshower detectors an electromagnetic calorimeter and a hadronic calorimeter Muons

are identified by a system composed of alternating layers of iron and multiwire proportional

chambers The online event selection is performed by a trigger [20] which consists of a

hardware stage based on information from the calorimeter and muon systems followed by

a software stage which applies a full event reconstruction A requirement that prevents

events with high occupancy from dominating the processing time of the software trigger is

also applied This is referred to in this article as the global event cut (GEC)

The measurements presented here are based on pp collision data collected at a centre-

of-mass energy of 8 TeV the integrated luminosity amounting to 1978 plusmn 23 pbminus1 The

absolute luminosity scale was measured during dedicated data-taking periods using both

van der Meer scans [21] and beam-gas imaging methods [22] Both methods give consistent

results which are combined to give the final luminosity estimate with an uncertainty of

116 [23]

Several samples of simulated events are produced to estimate contributions from back-

ground processes to verify efficiencies and to correct data for detector-related effects In

the simulation pp collisions are generated using Pythia 8 [24 25] with a specific LHCb

configuration [26] Decays of hadronic particles are described by EvtGen [27] in which

final-state radiation is generated using Photos [28] The interaction of the generated parti-

cles with the detector and its response are implemented using the Geant4 toolkit [29 30]

as described in ref [31]

The W boson yields are determined from fits to the data using signal templates pro-

duced with the ResBos [32ndash34] generator configured with the CT14 [35] PDF set The

ResBos generator includes an approximate NNLO calculation plus a next-to-next-to-

leading logarithm approximation for the resummation of the soft gluon radiation

The results of the analysis are compared to theoretical predictions calculated with

the Fewz [36 37] generator at NNLO for the PDF sets ABM12 [38] CT10 [39] CT14

HERA15 [40] MMHT14 [41] and NNPDF30 [42] All calculations are performed with

the renormalisation and factorisation scales set to the electroweak boson mass Scale

uncertainties are estimated by varying these scales by factors of two around the boson

mass [43] Total uncertainties correspond to those coming from the PDF and the strong

force coupling strength αs both at 683 confidence level (CL) added in quadrature with

the scale uncertainties

3 Event yield

Events for this analysis must satisfy the selection criteria detailed in refs [8 9] The

trigger requires a single muon with pT gt 15 GeVc at the hardware stage and includes an

upper threshold of 600 hits in the SPD to prevent high-particle multiplicity events from

ndash 3 ndash

JHEP01(2016)155

dominating the processing time A muon with pT gt 10 GeVc is required at the software

stage In the offline analysis particles are required to be well-reconstructed to be identified

as muons and also to pass the fiducial requirements

Additional selection criteria are applied to the W boson candidates to reduce the

contributions of various sources of background Muons from decays of W bosons are gen-

erally isolated from other particles To define a degree of isolation a cone with radius

R =radic

∆η2 + ∆φ2 = 05 is constructed around the direction of the muon track Exclud-

ing the candidate muon momentum requiring that there are small amounts of transverse

momentum (pconeT lt 2 GeVc) and transverse energy (EconeT lt 2 GeV) in the cone reduces

background originating from generic QCD events Requiring the transverse momentum

of all other muons in the event to be less than 2 GeVc reduces the contamination from

Z rarr micro+microminus events An upper limit on the IP of 40microm removes candidates in which the

muon is not consistent with originating from the primary vertex Such candidates could

be due to electroweak boson decays to tau leptons which in turn decay to muons or

semileptonic decays of heavy flavour hadrons Genuine muons are expected to leave low-

energy deposits in the electromagnetic and hadronic calorimeters An upper limit of 4

on the amount of energy that is deposited in the calorimeters relative to the momentum

of the track (Ecalopc) reduces the background from energetic pions and kaons punching

through the calorimeters to the muon stations A total of 1 733 327 W rarr microν candidates

are identified

The Wplusmn sample purity (ρWplusmn

) defined as the ratio of signal to candidate event yield

is determined with a template fit to the positively and negatively charged muon pT dis-

tributions in eight bins of muon pseudorapidity using the method of extended maximum

likelihood Only muons with pT smaller than 70 GeVc are considered The Wplusmn boson

signal and the Z rarr micro+microminus background templates are based on distributions predicted by

the ResBos generator The Z rarr τ+τminus and Wrarr τν templates are taken from Pythia 8

simulation The overall fraction of the electroweak background (Z rarr micro+microminus Z rarr τ+τminus

and Wrarr τν decays) in the W boson candidate sample is determined using a data-driven

method to be (1084plusmn 021) A template for backgrounds due to misidentified hadrons is

taken from data using a sample of randomly triggered pions and kaons that are weighted by

their probability to be misidentified as muons This component is left free to vary in the fit

and is determined to account for about 96 of the total candidates Finally a template of

heavy-flavour decays is obtained from data using muons with an IP of more than 100 microm

The fraction of this background is determined from a fit to the muon IP distribution and is

found to be (131plusmn 009) of the W boson candidate sample The momentum calibration

for high-pT muons is performed using the data-driven technique outlined in ref [44] A

more detailed description of the fit implementation is given in ref [8] The fit result in

the full ηmicro range is presented in figure 1 (left) where the normalised residuals show an

imperfect description of the data by the adopted templates similar to the 7 TeV analysis

The effect of this discrepancy on the signal yield is at the few per mille level The overall

purities are ρW+

= (7891plusmn 015) and ρWminus

= (7749plusmn 018)

The invariant mass distribution of dimuon pairs passing the Z candidate requirements

is shown in figure 1 (right) In total 136 702 Z rarr micro+microminus candidates are selected The back-

ndash 4 ndash

JHEP01(2016)155

)c

Can

did

ates

(

1 G

eV

20000

40000

60000

= 8 TeVsLHCb +micro

minusmicro lt 45

microη20 lt

Data QCD

Fit Electroweak

νmicrorarrW Heavy flavour

]c [GeVmicro

Tp

Dat

aF

it

0809

11112

20 30 40 50 60 70 20 30 40 50 60 70

]2 [GeVcmicromicroM

60 80 100 120

)2

Can

did

ate

s

(05

GeV

c

0

1000

2000

3000

4000

5000

6000

7000

8000

9000 = 8 TeVsLHCb

Figure 1 (left) Template fit to the (left panel) positive and (right panel) negative muon pT spectra

in the full ηmicro range for W candidates Data are compared to fitted contributions from W rarr microν

signal and QCD electroweak and heavy flavour backgrounds (right) Invariant mass distribution

of dimuon pairs in the Z candidate sample

ground contamination is low Five background sources are considered decays of heavy

flavour hadrons hadron misidentification Z rarr τ+τminus decays tt and WW production

The largest sources of background are due to decays of heavy flavour hadrons and hadron

misidentification These backgrounds are determined from data using the techniques dis-

cussed in ref [9] The heavy-flavour background is estimated from a subset of the candidate

sample by placing additional requirements on muon isolation and dimuon vertex quality

The background due to hadron misidentification is estimated using pairs of hadrons from

randomly triggered data These are weighted by the momentum-dependent probabilities

for hadrons to be misidentified as muons The other backgrounds are determined using

simulation and the purity is measured to be ρZ = (993plusmn 02)

4 Cross-section measurement

Cross-sections are determined in the specified kinematic ranges and are corrected for quan-

tum electrodynamic (QED) final-state radiation (FSR) in order to compare measurements

of electroweak boson production in different decay modes and to provide a consistent com-

parison with next-to-leading order and NNLO QCD predictions No corrections are applied

for initial-state radiation or for electroweak effects and their interplay with QED effects

The W boson cross-sections are measured as a function of ηmicro using the equation

σWplusmnrarrmicroplusmnν(i) =ρW

plusmn(i)

LmiddotfW

plusmnFSR(i)

εGEC(i)middot NWplusmn(i)

εWplusmn(i) εWplusmn

sel (i)AWplusmn(i) (41)

where all quantities except for the integrated luminosity L are determined in each bin i of

ηmicro The number of observed Wplusmn boson candidates is denoted by NWplusmn(i) The correction

factors for QED final-state radiation are given by fWplusmn

FSR and the efficiency of the requirement

on the number of SPD hits in the hardware trigger is represented by εGEC The total muon

ndash 5 ndash

JHEP01(2016)155

reconstruction efficiency is denoted by εWplusmn

while the efficiency of the selection criteria is

given by εWplusmn

sel The acceptance correction AWplusmn accounts for the 70 GeVc experimental

upper bound in the fit to the muon pT

The Z boson cross-sections are measured in bins of yZ pTZ φlowastη and ηmicro by integrating

over all but one of these variables To account for bin migration effects the cross-section

in bin i is determined from the number of events in all bins j with an unfolding matrix U

as follows

σZrarrmicro+microminus(i) =ρZ

LmiddotfZFSR(i)

εGEC(i)middotsumj

U(i j)

(sumk

1

εZ(ηmicro+

k ηmicrominus

k )

)j

(42)

In this expression the index k runs over all candidates contributing to bin j and εZ is

the pseudorapidity-dependent muon-reconstruction efficiency for event k The matrix U is

determined from simulated data as described in section 46 The QED final-state radiation

corrections are denoted by fZFSR The components that are common with the W boson

cross-sections defined in eq (41) are the luminosity and the individual muon reconstruction

efficiencies

Although the beam energy does not enter in eqs (41) and (42) a related uncertainty is

assigned to all cross-sections More details on these individual components are given below

41 Muon reconstruction efficiencies

The data are corrected for inefficiencies associated with track reconstruction muon iden-

tification and trigger requirements All efficiencies are determined from data using the

techniques detailed in refs [8 9] where the track reconstruction muon identification and

muon trigger efficiencies are obtained using tag-and-probe methods applied to the Z can-

didates The tag and the probe tracks are required to satisfy the fiducial requirements

The tag must be identified as a muon and be consistent with triggering the event while

the probe is defined so that it is unbiased with respect to the requirement for which the

efficiency is being measured The efficiency is studied as a function of several variables

which include both the muon momenta and the detector occupancy In this analysis re-

construction identification and trigger efficiencies are applied as a function of the muon

pseudorapidity The efficiency in each bin of ηmicro is defined as the fraction of tag-and-probe

candidates where the probe satisfies the corresponding track reconstruction identification

or trigger requirement All efficiencies are observed to be independent of the muon charge

The tracking efficiency is determined using probe tracks that are reconstructed by

combining hits from the muon stations and the large-area silicon-strip detector The muon

identification efficiency is determined using probe tracks that are reconstructed without us-

ing the muon system The single-muon trigger efficiency is determined using reconstructed

muons as probes

42 GEC efficiency

The efficiency of the SPD multiplicity limit at 600 hits in the muon trigger is evaluated

from data using two independent methods The first exploits the fact that the SPD multi-

plicities of single pp interactions involving a Z boson are rarely above the 600 hit threshold

ndash 6 ndash

JHEP01(2016)155

The expected SPD multiplicity distribution of signal events is constructed by adding the

multiplicities of signal events in single pp interactions to the multiplicities of randomly trig-

gered events as in ref [45] The convolution of the distributions extends to values above

600 hits and the fraction of events that the trigger rejects can be determined The sec-

ond method consists of fitting the SPD multiplicity distribution and extrapolating the fit

function to determine the fraction of events that are rejected as in ref [9] Both methods

give consistent results and εGEC = (9300 plusmn 032) is used in this analysis as the overall

efficiency This efficiency depends linearly on yZ and ηmicro with about 2 variation across

the full range This is accounted for by applying a bin-dependent efficiency correction

43 Final-state radiation

The FSR correction is taken to be the mean of the corrections calculated with

Herwig++ [46] and Pythia 8 The corrections are tabulated in appendix A and are

about 25 on average

44 Selection efficiencies

The efficiency of the additional selection requirements for the W boson candidate samples

is evaluated using a sample of Z bosons from data where one of the muons is excluded to

mimic a Wrarr microν decay [8] However this introduces a bias because the pT distribution of

muons from Z bosons is harder than those from W bosons Simulation is used to correct

for this bias and for the fact that the Z boson sample requires two muons in the LHCb

acceptance

45 Acceptance

Only muons with pT smaller than 70 GeVc are considered for the extraction of the W

boson signal A kinematic acceptance correction is required in order to measure cross-

sections without this restriction on muon pT This correction is evaluated using the ResBos

simulated sample

46 Unfolding the detector response

To correct for detector resolution effects an unfolding is performed (matrix U of eq (42))

using LHCb simulation and the RooUnfold [47] software package Only the pTZ and φlowastηdistributions are unfolded Since yZ and ηmicro are well measured no unfolding is performed

The momentum resolution in the simulation is calibrated to the data The data are then

unfolded using the iterative Bayesian approach proposed in ref [48] Other unfolding

techniques [49 50] give similar results Additionally all unfolding methods are tested for

model dependence using underlying distributions from leading-order Pythia 8 leading-

order Herwig++ as well as next-to-leading order Powheg [51ndash53] showered with both

Pythia 8 and Herwig++ using the Powheg matching scheme The corrections are

between 05ndash80 as a function of pTZ and between 01ndash70 as a function of φlowastη

ndash 7 ndash

JHEP01(2016)155

Source Uncertainty []

σW+rarrmicro+ν σWminusrarrmicrominusν σZrarrmicro+microminus

Statistical 019 023 027

Purity 028 021 021

Tracking 026 024 048

Identification 011 011 021

Trigger 014 013 005

GEC 040 041 034

Selection 024 024 mdash

Acceptance and FSR 016 014 013

Systematic 065 061 067

Beam energy 100 086 115

Luminosity 116 116 116

Total 167 159 179

Table 1 Summary of the relative uncertainties on the W+ Wminus and Z boson cross-sections

47 Systematic uncertainties

Sources of systematic uncertainty and their effects on the total cross-section measurements

from theradics = 8 TeV data set are summarised in table 1 The uncertainty due to the

momentum correction is negligible Uncertainties from external input eg the beam energy

and luminosity determinations are quoted separately from the other contributions

For the W boson samples the systematic uncertainty on the purity is estimated by

considering different shapes and normalisations of the templates refitting and summing in

quadrature the largest observed deviation in the results corresponding to each source [8]

The uncertainty on the ResBos signal template shape includes the effects of the PDF

the factorisation scale and the renormalisation scale An alternative definition for the

QCD background template potential mismodelling of the lepton pT shape in Pythia for

events that contain jets and the normalisations of the background templates are accounted

for with additional uncertainties The total uncertainties on the W+ and Wminus integrated

cross-sections from the sample purity are 028 and 021 For the Z boson sample the

systematic uncertainty on the purity is determined by considering alternative definitions

of the heavy-flavour background samples and by varying by their uncertainties the prob-

abilities for hadrons to be misidentified as muons In addition an uncertainty accounting

for the assumption that the purity is the same for all variables and bins of the analysis

is evaluated by comparing to cross-section measurements using a binned purity rather

than a global one The uncertainties on the differential cross-section measurements due to

variations in purity are typically less than 1

The systematic uncertainty associated with the trigger identification and tracking

efficiencies is determined by re-evaluating all cross-sections with the values of the individual

efficiencies increased or decreased by one standard deviation The full covariance matrix

of the differential cross-section measurements is evaluated in this way for each source of

ndash 8 ndash

JHEP01(2016)155

uncertainty The covariance matrices for each source are added and the diagonal elements

of the result determine the total systematic uncertainty due to reconstruction efficiencies

The total uncertainties on the W+ Wminus and Z boson integrated cross-sections due to

reconstruction efficiencies are 032 029 and 053

The GEC efficiency for events containing a Z boson is εZGEC = (9300 plusmn 032) Dif-

ferences between this efficiency and those for events containing a W+ or Wminus boson are

expected to be small and are thus accounted for with additional systematic uncertainties

as explained in ref [9] The values used for the measurements of W boson cross-sections

are εW+

GEC = (9300plusmn 037) and εWminus

GEC = (9300plusmn 038)

The uncertainties due to W boson selection efficiencies result in uncertainties on the

W+ and Wminus integrated cross-sections of 024 and 023 These include the uncertainties

that arise due to the difference in W and Z boson muon pT spectra and the correction that

accounts for the fact that two muons are required to be inside the LHCb acceptance in the

Z boson data sample

As an estimate of the uncertainty due to the acceptance correction half the differ-

ence between the corrections evaluated using the ResBos generators and Pythia 8 is

taken This results in uncertainties on the W+ and Wminus integrated cross-sections of 006

and 009

The systematic uncertainty on the FSR correction is the quadratic sum of two com-

ponents The first is due to the statistical precision of the Pythia 8 and Herwig++

estimates and the second is half of the difference between their central values where the

latter dominates

The measurements are specified at a pp centre-of-mass energy ofradics= 8 TeV The beam

energy and consequently the centre-of-mass energy is known to 065 [54] The sensitivity

of the cross-section to the centre-of-mass energy is studied with the DYNNLO [55] gener-

ator at NNLO Cross-sections are calculated at 1 TeV intervals in centre-of-mass energy

and a functional form for the cross-section is determined from a spline interpolation A

065 uncertainty on the centre-of-mass energy induces relative uncertainties of 100

086 and 115 on the expected W+ Wminus and Z cross-sections

The uncertainty on the luminosity determination is 116 [23] which represents the

largest contribution to the total uncertainty

5 Results

51 Cross-sections atradics = 8 TeV

The measured cross-section as a function of muon pseudorapidity in W boson decays is

shown in figure 2 (top) Good agreement with the predictions of the Fewz generator with

six different PDF sets is observed Similar conclusions can be drawn from the comparisons

of Z boson cross-section measurements with predictions as a function of rapidity as shown

in figure 2 (bottom) All differential cross-sections are detailed in tables 4 5 6 7 and 8 of

appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416

Figure 2 (top) Differential W+ and Wminus boson production cross-section in bins of muon pseu-

dorapidity (bottom) Differential Z boson production cross-section in bins of boson rapidity Mea-

surements represented as bands are compared to (markers displaced horizontally for presentation)

NNLO predictions with different parameterisations of the PDFs

ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

2c lt 120 GeVmicromicroM 60 lt Z

88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ

Figure 3 Summary of the W and Z cross-sections Measurements represented as bands are

compared to (markers) NNLO predictions with different parameterisations of the PDFs

The total cross-sections are measured to be




where the first uncertainties are statistical the second are systematic the third are due

to the knowledge of the LHC beam energy and the fourth are due to the luminosity mea-

surement The agreement of the measurements with NNLO predictions given by the Fewz

generator configured with various PDF sets is illustrated in figure 3 Two-dimensional plots

of electroweak boson cross-sections are shown in figure 4 where the ellipses correspond to

683 CL coverage

A best linear unbiased estimator [56] is used to combine the Z boson production

cross-section atradics = 8 TeV measured with the muon and the electron [12] channels The

combined result is

σZrarr`+`minus = 949plusmn 02plusmn 06plusmn 11plusmn 11 pb

Uncertainties due to the GEC the LHC beam energy and the luminosity measure-

ment are assumed to be fully correlated while the other uncertainties are assumed to be

uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data

lumioplus beam oplus syst oplusstat Data

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area

[pb]minusmicro+microrarrZσ

90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area

Figure 4 Two-dimensional plots of electroweak boson cross-sections compared to NNLO predic-

tions for various parameterisations of the PDFs The uncertainties on the theoretical predictions

correspond to the PDF uncertainty only All ellipses correspond to uncertainties at 683 CL

52 Ratios of cross-sections atradics = 8 TeV

The ratios of electroweak boson production cross-sections are defined as

RWplusmn =σW+rarrmicro+νσWminusrarrmicrominusν

(51)

RW+Z =σW+rarrmicro+νσZrarrmicro+microminus

(52)

RWminusZ =σWminusrarrmicrominusνσZrarrmicro+microminus

(53)

RWZ =σW+rarrmicro+ν + σWminusrarrmicrominusν

σZrarrmicro+microminus (54)

ndash 12 ndash

JHEP01(2016)155


RWplusmn RW+Z RWminusZ RWZ

Statistical 030 033 036 031

Purity 025 035 030 030

Tracking 005 022 024 023

Identification 001 011 011 011

Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023

Acceptance and FSR 021 021 019 017

Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066

Table 2 Summary of the relative uncertainties on the RWplusmn RW+Z RWminusZ and RWZ cross-section

ratios

and the muon charge asymmetry as a function of the muon pseudorapidity is defined as

Amicro(ηi) =σW+rarrmicro+ν(ηi)minus σWminusrarrmicrominusν(ηi)

σW+rarrmicro+ν(ηi) + σWminusrarrmicrominusν(ηi) (55)

The sources of uncertainties contributing to the determination of the ratios are sum-

marised in table 2 With respect to the systematic uncertainties on the cross-sections

many sources cancel or are reduced The luminosity uncertainty completely cancels in the

ratios as do the correlated components of the GEC efficiency uncertainty The trigger

used to select both samples is identical and most of the uncertainty on the determination

of the trigger efficiency cancels The uncertainties on the tracking and muon identification

efficiencies partially cancel in the ratios of W and Z boson cross-sections as do the uncer-

tainties due to the proton beam energies The uncertainties on the purities of the W and Z

boson selections are uncorrelated and the FSR uncertainties are taken to be uncorrelated

The dominant uncertainties on the ratios are due to the purity and the size of the samples

The correlation coefficients used in the uncertainty calculations are given in tables 15ndash21

of appendix B

The W boson cross-section ratio is measured as

RWplusmn = 1336plusmn 0004plusmn 0005plusmn 0002

where the first uncertainty is statistical the second is systematic and the third is due to the

knowledge of the LHC beam energy The W to Z boson production ratios are found to be

RW+Z = 1151plusmn 004plusmn 007plusmn 002

RWminusZ = 862plusmn 003plusmn 005plusmn 002

RWZ = 2013plusmn 006plusmn 011plusmn 004

ndash 13 ndash

JHEP01(2016)155

These measurements as well as their predictions are displayed in figure 5 The data are

well described by all PDF sets The W+ to Wminus boson ratio the charged W to Z boson

ratios and the muon charge asymmetry are determined differentially as a function of muon

η and displayed in figures 6 and 7 Good agreement between measured and predicted values

is observed All differential results are listed in tables 9 10 and 11 of appendix A

53 Ratios of cross-sections at different centre-of-mass energies

The cross-section measurements detailed in the previous sections were also performed using

10 fbminus1 of data at 7 TeV [9] The two sets of measurements are used to make measurements

of ratios of quantities at different centre-of-mass energies The ratios of cross-sections are

defined as

R87W+ =

σ8TeVW+rarrmicro+ν


(56)

R87Wminus =

σ8TeVWminusrarrmicrominusν


(57)

R87Z =

σ8TeVZrarrmicro+microminus


(58)

and the double ratios of cross-sections are defined as

R87RWplusmn

=σ8TeVW+rarrmicro+ν




(59)

R87RW+Z





(510)

R87RWminusZ

=σ8TeVWminusrarrmicrominusν




(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)

The following assumptions are made in order to estimate uncertainties on these ratios

bull The uncertainties due to statistically independent samples are uncorrelated eg the

uncertainties due to the number of candidates in each measured bin the uncertainties

on the muon reconstruction efficiencies that are uncorrelated between ηmicro bins and the

uncertainty that arises from corrections for having two muons inside the acceptance

when measuring the selection efficiencies of W bosons and the W boson purity

bull The uncertainties reflecting common methods are correlated eg the Z candidate

sample purity estimation the components of the muon reconstruction efficiencies that

are correlated between muon η bins and the uncertainty that arises when measuring

selection efficiencies for W bosons and all aspects of the GEC efficiency

bull The uncertainty due to the FSR correction is taken to be correlated in identical

measurement bins and uncorrelated between different measurement bins

ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


108 11 112 114 116 118 12 122 minusmicro+microrarrZ

σ

ν+microrarr+W

σ

82 84 86 88 9 92 minusmicro+microrarrZ

σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ

Figure 5 Summary of the cross-section ratios Measurements represented as bands are compared

to (markers) NNLO predictions with different parameterisations of the PDFs

bull The beam energy has been directly measured for 4 TeV beams with a precision of

065 but not for 35 TeV beams [54] No additional uncertainty is expected to enter

the energy measurement of 35 TeV beams so the relative uncertainty is taken to be

the same and fully correlated between data sets with different centre-of-mass energies

bull The uncertainties (δradics

i ) entering the luminosity estimates are given in ref [23] The

degree of correlation between the luminosity measurements at different centre-of-mass

energies is determined by assigning correlation coefficients (ci) of 0 1 [005] [051]

or [01] where the last three represent intervals within which the true correlation is

expected to lie Pseudoexperiments are studied using correlation coefficients that are

sampled from both uniform and arcsin distributions across these intervals With this

prescription the total correlation is calculated using

c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)

and estimated to be 055plusmn 006 A correlation coefficient of 055 is used

A summary of the uncertainties on ratios of quantities at different centre-of-mass energies

is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata

Figure 6 (top) W+ to Wminus cross-section ratio in bins of muon pseudorapidity (bottom) W+

(Wminus) to Z cross-section ratio in bins of micro+ (microminus) pseudorapidity Measurements represented as

bands are compared to (markers displaced horizontally for presentation) NNLO predictions with

different parameterisations of the PDFs

ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004

Figure 7 W production charge asymmetry in bins of muon pseudorapidity Measurements

represented as bands are compared to (markers displaced horizontally for presentation) NNLO

predictions with different parameterisations of the PDFs


R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016

Acceptance and FSR 005 006 004 008 007 007 006

Systematic 064 063 056 066 055 059 046

Beam energy 006 005 010 mdash 004 005 005

Luminosity 145 145 145 mdash mdash mdash mdash

Total 161 162 163 082 080 086 072

Table 3 Summary of the relative uncertainties on the electroweak boson cross-section ratios at

different centre-of-mass energies

ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

Figure 8 Summary of the W and Z cross-section ratios at different centre-of-mass energies

Measurements represented as bands are compared to (markers) NNLO predictions with different

parameterisations of the PDFs

The cross-section ratios at different centre-of-mass energies measured for the same

kinematic range as the total cross-sections are

R87W+ = 1245plusmn 0004plusmn 0008plusmn 0001plusmn 0018

R87Wminus = 1187plusmn 0004plusmn 0007plusmn 0001plusmn 0017

R87Z = 1250plusmn 0006plusmn 0007plusmn 0001plusmn 0018


the knowledge of the LHC beam energy and the fourth are due to the luminosity measure-

ment The measurements and predictions are in agreement as shown in figure 8 Compared

to figure 3 the variation in the predictions is small This indicates that the uncertainty

due to the PDF is very much reduced which is also reflected in the calculated uncertainties

on the individual PDF predictions

Even more precise tests can be obtained through the following double ratios of cross-

sections which are independent of the luminosities of either data set These double ratios

ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

Figure 9 Summary of the cross-section double ratios at different centre-of-mass energies Mea-

surements represented as bands are compared to (markers) NNLO predictions with different pa-

rameterisations of the PDFs

are defined and measured as

R87RWplusmn

= 1049plusmn 0005plusmn 0007

R87RW+Z


R87RWminusZ


R87RWZ


where the first uncertainties are statistical and the second are systematic The largest

source of systematic uncertainty on these ratios is due to the evaluation of the purity

of the W boson sample which ranges between 03 and 07 The double ratios are

shown in figure 9 where the uncertainties on the predictions due to the PDF scale αsand numerical integration are of similar magnitude Taking the uncertainty on the SM

prediction to be reflected by the spread of the PDF predictions the maximal deviation

between the measured results and the theory is at the level of about 2 standard deviations

The ratios R87RW+Z

R87RWminusZ

are also measured differentially as a function of muon η

These measurements are displayed in figure 10 where only uncertainties due to PDFs

ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata

Figure 10 Double ratios of cross-sections at different centre-of-mass energies as a function of

muon pseudorapidity Measurements represented as bands are compared to (markers displaced

horizontally for presentation) NNLO predictions with different parameterisations of the PDFs

are included on the predictions Good agreement between measurement and prediction is

observed especially for the R87RWminusZ

ratio The R87RW+Z

ratio increases as a function of ηmicro

while the R87RWminusZ

ratio decreases as a function of ηmicro The PDF uncertainties are largest for

the R87RW+Z

ratio at high pseudorapidity suggesting that these measurements can improve

the determination of the PDFs in this region Differential measurements are reported in

table 12 of appendix A along with new differential measurements that were not published

in ref [9] that are required for this analysis (tables 13 and 14)

6 Conclusions

Measurements of forward electroweak boson production atradics = 8 TeV are presented and

found to be in agreement with NNLO calculations in perturbative quantum chromody-

namics The large degree of correlation between the uncertainties allows for sub-percent

determination of the cross-section ratios These represent the most precise determinations

to date of electroweak boson production at the LHC Using previous results from theradics = 7 TeV data set the evolution with the centre-of-mass energy is studied Good agree-

ment between measured and predicted cross-section ratios is observed The experimental

uncertainties are dominated by luminosity uncertainties of about 15 Double ratios of

cross-sections at different centre-of-mass energies are independent of the luminosity and are

thus a more precise class of observables determined with precision of between 07 and

09 In the cross-section ratios the predictions deviate slightly from the measurements

Such deviations can be expected in BSM extensions that feature new sources of W and

Z production This motivates the extension of this analysis to higher energies as will be

possible with future data

ndash 20 ndash

JHEP01(2016)155

Acknowledgments

We express our gratitude to our colleagues in the CERN accelerator departments for

the excellent performance of the LHC We thank the technical and administrative staff

at the LHCb institutes We acknowledge support from CERN and from the national

agencies CAPES CNPq FAPERJ and FINEP (Brazil) NSFC (China) CNRSIN2P3

(France) BMBF DFG and MPG (Germany) INFN (Italy) FOM and NWO (The Nether-

lands) MNiSW and NCN (Poland) MENIFA (Romania) MinES and FANO (Russia)

MinECo (Spain) SNSF and SER (Switzerland) NASU (Ukraine) STFC (United King-

dom) NSF (USA) We acknowledge the computing resources that are provided by CERN

IN2P3 (France) KIT and DESY (Germany) INFN (Italy) SURF (The Netherlands) PIC

(Spain) GridPP (United Kingdom) RRCKI (Russia) CSCS (Switzerland) IFIN-HH (Ro-

mania) CBPF (Brazil) PL-GRID (Poland) and OSC (USA) We are indebted to the

communities behind the multiple open source software packages on which we depend We

are also thankful for the computing resources and the access to software RampD tools pro-

vided by Yandex LLC (Russia) Individual groups or members have received support from

AvH Foundation (Germany) EPLANET Marie Sk lodowska-Curie Actions and ERC (Eu-

ropean Union) Conseil General de Haute-Savoie Labex ENIGMASS and OCEVU Region

Auvergne (France) RFBR (Russia) GVA XuntaGal and GENCAT (Spain) The Royal

Society and Royal Commission for the Exhibition of 1851 (United Kingdom)

ndash 21 ndash

JHEP01(2016)155

A Differential measurements

Differential production cross-section measurements as functions of the pseudorapidities of

the muons from the decay of the Z boson were not included in the previous publication

that describes the analysis of theradics = 7 TeV data set [9] They are provided in this

appendix in table 13 along with the related measurements of the differential W to Z

boson cross-section ratios in table 14

ηmicro σW+rarrmicro+ν [ pb ] fW+

FSR

200 ndash 225 2365plusmn 12plusmn 32plusmn 24plusmn 27 10188plusmn 00047








ηmicro σWminusrarrmicrominusν [ pb ] fWminus

FSR









Table 4 Cross-section for (top) W+ and (bottom) Wminus boson production in bins of muon pseudo-

rapidity The first uncertainties are statistical the second are systematic the third are due to the

knowledge of the LHC beam energy and the fourth are due to the luminosity measurement The

last column lists the final-state radiation correction

ndash 22 ndash

JHEP01(2016)155

yZ σZrarrmicro+microminus [ pb ] fZFSR

2000 ndash 2125 1223 plusmn 0033 plusmn 0055 plusmn 0014 plusmn 0014 10466plusmn 00395


















Table 5 Cross-section for Z boson production in bins of boson rapidity The first uncertainties

are statistical the second are systematic the third are due to the knowledge of the LHC beam

energy and the fourth are due to the luminosity measurement The last column lists the final-state

radiation correction

ndash 23 ndash

JHEP01(2016)155

pTZ [ GeVc ] σZrarrmicro+microminus [ pb ] fZFSR

00 ndash 22 7903 plusmn 0082plusmn 0130 plusmn 0091 plusmn 0092 10962plusmn 00045














Table 6 Cross-section for Z boson production in bins of boson transverse momentum The first

uncertainties are statistical the second are systematic the third are due to the knowledge of the

LHC beam energy and the fourth are due to the luminosity measurement The last column lists

the final-state radiation correction

φlowastη σZrarrmicro+microminus [ pb ] fZFSR
















Table 7 Cross-section for Z boson production in bins of boson φlowastη The first uncertainties are

statistical the second are systematic the third are due to the knowledge of the LHC beam energy

and the fourth are due to the luminosity measurement The last column lists the final-state radiation

correction

ndash 24 ndash

JHEP01(2016)155

ηmicro σZrarrmicro+microminus(ηmicro+

) [ pb ] fZFSR









ηmicro σZrarrmicro+microminus(ηmicrominus

) [ pb ] fZFSR









Table 8 Cross-section for Z boson production in bins of muon pseudorapidity The first uncer-

tainties are statistical the second are systematic the third are due to the knowledge of the LHC

beam energy and the fourth are due to the luminosity measurement The last column lists the

final-state radiation correction

ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z

200 ndash 225 15478 plusmn 0134 plusmn 0174 plusmn 0024 plusmn 0001








ηmicrominus

RWminusZ200 ndash 225 9521 plusmn 0095 plusmn 0117 plusmn 0028 plusmn 0001








Table 9 (Top) W+ and (bottom) Wminus to Z cross-section ratios in bins of muon pseudorapidity

The first uncertainties are statistical the second are systematic the third are due to the knowledge

of the LHC beam energy and the fourth are due to the luminosity measurement

ηmicro RWplusmn

200 ndash 225 1765plusmn 0015plusmn 0018plusmn 0003








Table 10 W+ to Wminus cross-section ratio in bins of muon pseudorapidity The first uncertainties

are statistical the second are systematic and the third are due to the knowledge of the LHC beam

energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()







350 ndash 400 minus1599plusmn 039plusmn 096plusmn 007


Table 11 Lepton charge asymmetry in bins of muon pseudorapidity The first uncertainties

are statistical the second are systematic and the third are due to the knowledge of the LHC

beam energy

ηmicro+

R87RW+Z

200 ndash 225 1022 plusmn 0015 plusmn 0016








ηmicrominus

R87RWminusZ









Table 12 Ratios of (top) W+ and (bottom) Wminus to Z cross-section ratios at different centre-of-

mass energies in bins of muon pseudorapidity The first uncertainty is statistical and the second is

systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR









Table 13 Cross-section for Z boson production in bins of muon pseudorapidity atradics = 7 TeV


of the LHC beam energy and the fourth are due to the luminosity measurement The last column

lists the final-state radiation correction

ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus










atradics = 7 TeV The first uncertainties are statistical the second are systematic the third are due

to the knowledge of the LHC beam energy and the fourth are due to the luminosity measurement

ndash 29 ndash

JHEP01(2016)155

B Correlation matrices

ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+

200ndash225 225ndash250 250ndash275 275ndash300 300ndash325 325ndash350 350ndash400 400ndash450

200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1

Table 20 Correlation coefficients between the differential Z cross-sections in bins of (top) ηmicro+

and (bottom) ηmicrominus

The LHC beam energy and luminosity uncertainties which are fully correlated

between cross-section measurements are excluded

ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013

Table 21 Correlation coefficients between the differential W and Z cross-sections in bins of

(top) ηmicro+


The LHC beam energy and luminosity uncertainties which are fully

correlated between cross-section measurements are excluded

Open Access This article is distributed under the terms of the Creative Commons

Attribution License (CC-BY 40) which permits any use distribution and reproduction in

any medium provided the original author(s) and source are credited

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ndash 39 ndash

JHEP01(2016)155


R Aaij39 C Abellan Beteta41 B Adeva38 M Adinolfi47 A Affolder53 Z Ajaltouni5 S Akar6

J Albrecht10 F Alessio39 M Alexander52 S Ali42 G Alkhazov31 P Alvarez Cartelle54

AA Alves Jr58 S Amato2 S Amerio23 Y Amhis7 L An340 L Anderlini18 G Andreassi40

M Andreotti17g JE Andrews59 RB Appleby55 O Aquines Gutierrez11 F Archilli39

P drsquoArgent12 A Artamonov36 M Artuso60 E Aslanides6 G Auriemma26n M Baalouch5

S Bachmann12 JJ Back49 A Badalov37 C Baesso61 W Baldini1739 RJ Barlow55

C Barschel39 S Barsuk7 W Barter39 V Batozskaya29 V Battista40 A Bay40 L Beaucourt4

J Beddow52 F Bedeschi24 I Bediaga1 LJ Bel42 V Bellee40 N Belloli21k I Belyaev32

E Ben-Haim8 G Bencivenni19 S Benson39 J Benton47 A Berezhnoy33 R Bernet41

A Bertolin23 M-O Bettler39 M van Beuzekom42 S Bifani46 P Billoir8 T Bird55

A Birnkraut10 A Bizzeti18i T Blake49 F Blanc40 J Blouw11 S Blusk60 V Bocci26

A Bondar35 N Bondar3139 W Bonivento16 S Borghi55 M Borisyak66 M Borsato38

TJV Bowcock53 E Bowen41 C Bozzi1739 S Braun12 M Britsch12 T Britton60

J Brodzicka55 NH Brook47 E Buchanan47 C Burr55 A Bursche41 J Buytaert39

S Cadeddu16 R Calabrese17g M Calvi21k M Calvo Gomez37p P Campana19

D Campora Perez39 L Capriotti55 A Carbone15e G Carboni25l R Cardinale20j

A Cardini16 P Carniti21k L Carson51 K Carvalho Akiba2 G Casse53 L Cassina21k

L Castillo Garcia40 M Cattaneo39 Ch Cauet10 G Cavallero20 R Cenci24t M Charles8

Ph Charpentier39 M Chefdeville4 S Chen55 S-F Cheung56 N Chiapolini41

M Chrzaszcz4127 X Cid Vidal39 G Ciezarek42 PEL Clarke51 M Clemencic39 HV Cliff48

J Closier39 V Coco39 J Cogan6 E Cogneras5 V Cogoni16f L Cojocariu30 G Collazuol23r

P Collins39 A Comerma-Montells12 A Contu39 A Cook47 M Coombes47 S Coquereau8

G Corti39 M Corvo17g B Couturier39 GA Cowan51 DC Craik51 A Crocombe49

M Cruz Torres61 S Cunliffe54 R Currie54 C DrsquoAmbrosio39 E DallrsquoOcco42 J Dalseno47

PNY David42 A Davis58 O De Aguiar Francisco2 K De Bruyn6 S De Capua55

M De Cian12 JM De Miranda1 L De Paula2 P De Simone19 C-T Dean52 D Decamp4

M Deckenhoff10 L Del Buono8 N Deleage4 M Demmer10 D Derkach66 O Deschamps5

F Dettori39 B Dey22 A Di Canto39 F Di Ruscio25 H Dijkstra39 S Donleavy53 F Dordei39

M Dorigo40 A Dosil Suarez38 A Dovbnya44 K Dreimanis53 L Dufour42 G Dujany55

K Dungs39 P Durante39 R Dzhelyadin36 A Dziurda27 A Dzyuba31 S Easo5039 U Egede54

V Egorychev32 S Eidelman35 S Eisenhardt51 U Eitschberger10 R Ekelhof10 L Eklund52

I El Rifai5 Ch Elsasser41 S Ely60 S Esen12 HM Evans48 T Evans56 M Fabianska27

A Falabella15 C Farber39 N Farley46 S Farry53 R Fay53 D Ferguson51

V Fernandez Albor38 F Ferrari15 F Ferreira Rodrigues1 M Ferro-Luzzi39 S Filippov34

M Fiore1739g M Fiorini17g M Firlej28 C Fitzpatrick40 T Fiutowski28 F Fleuret7b

K Fohl39 P Fol54 M Fontana16 F Fontanelli20j D C Forshaw60 R Forty39 M Frank39

C Frei39 M Frosini18 J Fu22 E Furfaro25l A Gallas Torreira38 D Galli15e S Gallorini23

S Gambetta51 M Gandelman2 P Gandini56 Y Gao3 J Garcıa Pardinas38 J Garra Tico48

L Garrido37 D Gascon37 C Gaspar39 R Gauld56 L Gavardi10 G Gazzoni5 D Gerick12

E Gersabeck12 M Gersabeck55 T Gershon49 Ph Ghez4 S Gianı40 V Gibson48

OG Girard40 L Giubega30 VV Gligorov39 C Gobel61 D Golubkov32 A Golutvin5439

A Gomes1a C Gotti21k M Grabalosa Gandara5 R Graciani Diaz37 LA Granado Cardoso39

E Grauges37 E Graverini41 G Graziani18 A Grecu30 E Greening56 P Griffith46 L Grillo12

O Grunberg64 B Gui60 E Gushchin34 Yu Guz3639 T Gys39 T Hadavizadeh56

C Hadjivasiliou60 G Haefeli40 C Haen39 SC Haines48 S Hall54 B Hamilton59 X Han12

S Hansmann-Menzemer12 N Harnew56 ST Harnew47 J Harrison55 J He39 T Head40

ndash 40 ndash

JHEP01(2016)155

V Heijne42 A Heister9 K Hennessy53 P Henrard5 L Henry8 JA Hernando Morata38

E van Herwijnen39 M Heszlig64 A Hicheur2 D Hill56 M Hoballah5 C Hombach55

W Hulsbergen42 T Humair54 M Hushchyn66 N Hussain56 D Hutchcroft53 D Hynds52

M Idzik28 P Ilten57 R Jacobsson39 A Jaeger12 J Jalocha56 E Jans42 A Jawahery59

M John56 D Johnson39 CR Jones48 C Joram39 B Jost39 N Jurik60 S Kandybei44

W Kanso6 M Karacson39 TM Karbach39dagger S Karodia52 M Kecke12 M Kelsey60

IR Kenyon46 M Kenzie39 T Ketel43 E Khairullin66 B Khanji2139k C Khurewathanakul40

T Kirn9 S Klaver55 K Klimaszewski29 O Kochebina7 M Kolpin12 I Komarov40

RF Koopman43 P Koppenburg4239 M Kozeiha5 L Kravchuk34 K Kreplin12 M Kreps49

P Krokovny35 F Kruse10 W Krzemien29 W Kucewicz27o M Kucharczyk27

V Kudryavtsev35 A K Kuonen40 K Kurek29 T Kvaratskheliya32 D Lacarrere39

G Lafferty5539 A Lai16 D Lambert51 G Lanfranchi19 C Langenbruch49 B Langhans39

T Latham49 C Lazzeroni46 R Le Gac6 J van Leerdam42 J-P Lees4 R Lefevre5

A Leflat3339 J Lefrancois7 E Lemos Cid38 O Leroy6 T Lesiak27 B Leverington12 Y Li7

T Likhomanenko6665 M Liles53 R Lindner39 C Linn39 F Lionetto41 B Liu16 X Liu3

D Loh49 I Longstaff52 JH Lopes2 D Lucchesi23r M Lucio Martinez38 H Luo51

A Lupato23 E Luppi17g O Lupton56 A Lusiani24 F Machefert7 F Maciuc30 O Maev31

K Maguire55 S Malde56 A Malinin65 G Manca7 G Mancinelli6 P Manning60 A Mapelli39

J Maratas5 JF Marchand4 U Marconi15 C Marin Benito37 P Marino2439t J Marks12

G Martellotti26 M Martin6 M Martinelli40 D Martinez Santos38 F Martinez Vidal67

D Martins Tostes2 LM Massacrier7 A Massafferri1 R Matev39 A Mathad49 Z Mathe39

C Matteuzzi21 A Mauri41 B Maurin40 A Mazurov46 M McCann54 J McCarthy46

A McNab55 R McNulty13 B Meadows58 F Meier10 M Meissner12 D Melnychuk29

M Merk42 E Michielin23 DA Milanes63 M-N Minard4 DS Mitzel12 J Molina Rodriguez61

IA Monroy63 S Monteil5 M Morandin23 P Morawski28 A Morda6 MJ Morello24t

J Moron28 AB Morris51 R Mountain60 F Muheim51 D Muller55 J Muller10 K Muller41

V Muller10 M Mussini15 B Muster40 P Naik47 T Nakada40 R Nandakumar50 A Nandi56

I Nasteva2 M Needham51 N Neri22 S Neubert12 N Neufeld39 M Neuner12 AD Nguyen40

TD Nguyen40 C Nguyen-Mau40q V Niess5 R Niet10 N Nikitin33 T Nikodem12

A Novoselov36 DP OrsquoHanlon49 A Oblakowska-Mucha28 V Obraztsov36 S Ogilvy52

O Okhrimenko45 R Oldeman16f CJG Onderwater68 B Osorio Rodrigues1

JM Otalora Goicochea2 A Otto39 P Owen54 A Oyanguren67 A Palano14d F Palombo22u

M Palutan19 J Panman39 A Papanestis50 M Pappagallo52 LL Pappalardo17g

C Pappenheimer58 W Parker59 C Parkes55 G Passaleva18 GD Patel53 M Patel54

C Patrignani20j A Pearce5550 A Pellegrino42 G Penso26m M Pepe Altarelli39

S Perazzini15e P Perret5 L Pescatore46 K Petridis47 A Petrolini20j M Petruzzo22

E Picatoste Olloqui37 B Pietrzyk4 M Pikies27 D Pinci26 A Pistone20 A Piucci12

S Playfer51 M Plo Casasus38 T Poikela39 F Polci8 A Poluektov4935 I Polyakov32

E Polycarpo2 A Popov36 D Popov1139 B Popovici30 C Potterat2 E Price47 JD Price53

J Prisciandaro38 A Pritchard53 C Prouve47 V Pugatch45 A Puig Navarro40 G Punzi24s

W Qian4 R Quagliani747 B Rachwal27 JH Rademacker47 M Rama24 M Ramos Pernas38

MS Rangel2 I Raniuk44 N Rauschmayr39 G Raven43 F Redi54 S Reichert55

AC dos Reis1 V Renaudin7 S Ricciardi50 S Richards47 M Rihl39 K Rinnert5339

V Rives Molina37 P Robbe739 AB Rodrigues1 E Rodrigues55 JA Rodriguez Lopez63

P Rodriguez Perez55 S Roiser39 V Romanovsky36 A Romero Vidal38 J W Ronayne13

M Rotondo23 T Ruf39 P Ruiz Valls67 JJ Saborido Silva38 N Sagidova31 B Saitta16f

V Salustino Guimaraes2 C Sanchez Mayordomo67 B Sanmartin Sedes38 R Santacesaria26

C Santamarina Rios38 M Santimaria19 E Santovetti25l A Sarti19m C Satriano26n

ndash 41 ndash

JHEP01(2016)155

A Satta25 DM Saunders47 D Savrina3233 S Schael9 M Schiller39 H Schindler39

M Schlupp10 M Schmelling11 T Schmelzer10 B Schmidt39 O Schneider40 A Schopper39

M Schubiger40 M-H Schune7 R Schwemmer39 B Sciascia19 A Sciubba26m A Semennikov32

A Sergi46 N Serra41 J Serrano6 L Sestini23 P Seyfert21 M Shapkin36 I Shapoval1744g

Y Shcheglov31 T Shears53 L Shekhtman35 V Shevchenko65 A Shires10 BG Siddi17

R Silva Coutinho41 L Silva de Oliveira2 G Simi23s M Sirendi48 N Skidmore47

T Skwarnicki60 E Smith5650 E Smith54 IT Smith51 J Smith48 M Smith55 H Snoek42

MD Sokoloff5839 FJP Soler52 F Soomro40 D Souza47 B Souza De Paula2 B Spaan10

P Spradlin52 S Sridharan39 F Stagni39 M Stahl12 S Stahl39 S Stefkova54 O Steinkamp41

O Stenyakin36 S Stevenson56 S Stoica30 S Stone60 B Storaci41 S Stracka24t

M Straticiuc30 U Straumann41 L Sun58 W Sutcliffe54 K Swientek28 S Swientek10

V Syropoulos43 M Szczekowski29 T Szumlak28 S TrsquoJampens4 A Tayduganov6

T Tekampe10 G Tellarini17g F Teubert39 C Thomas56 E Thomas39 J van Tilburg42

V Tisserand4 M Tobin40 J Todd58 S Tolk43 L Tomassetti17g D Tonelli39

S Topp-Joergensen56 N Torr56 E Tournefier4 S Tourneur40 K Trabelsi40 M Traill52

MT Tran40 M Tresch41 A Trisovic39 A Tsaregorodtsev6 P Tsopelas42 N Tuning4239

A Ukleja29 A Ustyuzhanin6665 U Uwer12 C Vacca1639f V Vagnoni15 G Valenti15

A Vallier7 R Vazquez Gomez19 P Vazquez Regueiro38 C Vazquez Sierra38 S Vecchi17

M van Veghel43 JJ Velthuis47 M Veltri18h G Veneziano40 M Vesterinen12 B Viaud7

D Vieira2 M Vieites Diaz38 X Vilasis-Cardona37p V Volkov33 A Vollhardt41 D Voong47

A Vorobyev31 V Vorobyev35 C Voszlig64 JA de Vries42 R Waldi64 C Wallace49 R Wallace13

J Walsh24 J Wang60 DR Ward48 NK Watson46 D Websdale54 A Weiden41

M Whitehead39 J Wicht49 G Wilkinson5639 M Wilkinson60 M Williams39 MP Williams46

M Williams57 T Williams46 FF Wilson50 J Wimberley59 J Wishahi10 W Wislicki29

M Witek27 G Wormser7 SA Wotton48 K Wraight52 S Wright48 K Wyllie39 Y Xie62

Z Xu40 Z Yang3 J Yu62 X Yuan35 O Yushchenko36 M Zangoli15 M Zavertyaev11c

L Zhang3 Y Zhang3 A Zhelezov12 A Zhokhov32 L Zhong3 V Zhukov9 S Zucchelli15

1 Centro Brasileiro de Pesquisas Fısicas (CBPF) Rio de Janeiro Brazil2 Universidade Federal do Rio de Janeiro (UFRJ) Rio de Janeiro Brazil3 Center for High Energy Physics Tsinghua University Beijing China4 LAPP Universite Savoie Mont-Blanc CNRSIN2P3 Annecy-Le-Vieux France5 Clermont Universite Universite Blaise Pascal CNRSIN2P3 LPC Clermont-Ferrand France6 CPPM Aix-Marseille Universite CNRSIN2P3 Marseille France7 LAL Universite Paris-Sud CNRSIN2P3 Orsay France8 LPNHE Universite Pierre et Marie Curie Universite Paris Diderot CNRSIN2P3 Paris France9 I Physikalisches Institut RWTH Aachen University Aachen Germany

10 Fakultat Physik Technische Universitat Dortmund Dortmund Germany11 Max-Planck-Institut fur Kernphysik (MPIK) Heidelberg Germany12 Physikalisches Institut Ruprecht-Karls-Universitat Heidelberg Heidelberg Germany13 School of Physics University College Dublin Dublin Ireland14 Sezione INFN di Bari Bari Italy15 Sezione INFN di Bologna Bologna Italy16 Sezione INFN di Cagliari Cagliari Italy17 Sezione INFN di Ferrara Ferrara Italy18 Sezione INFN di Firenze Firenze Italy19 Laboratori Nazionali dellrsquoINFN di Frascati Frascati Italy20 Sezione INFN di Genova Genova Italy21 Sezione INFN di Milano Bicocca Milano Italy22 Sezione INFN di Milano Milano Italy

ndash 42 ndash

JHEP01(2016)155

23 Sezione INFN di Padova Padova Italy24 Sezione INFN di Pisa Pisa Italy25 Sezione INFN di Roma Tor Vergata Roma Italy26 Sezione INFN di Roma La Sapienza Roma Italy27 Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences Krakow Poland28 AGH - University of Science and Technology Faculty of Physics and Applied Computer Science

Krakow Poland29 National Center for Nuclear Research (NCBJ) Warsaw Poland30 Horia Hulubei National Institute of Physics and Nuclear Engineering

Bucharest-Magurele Romania31 Petersburg Nuclear Physics Institute (PNPI) Gatchina Russia32 Institute of Theoretical and Experimental Physics (ITEP) Moscow Russia33 Institute of Nuclear Physics Moscow State University (SINP MSU) Moscow Russia34 Institute for Nuclear Research of the Russian Academy of Sciences (INR RAN) Moscow Russia35 Budker Institute of Nuclear Physics (SB RAS) and Novosibirsk State University

Novosibirsk Russia36 Institute for High Energy Physics (IHEP) Protvino Russia37 Universitat de Barcelona Barcelona Spain38 Universidad de Santiago de Compostela Santiago de Compostela Spain39 European Organization for Nuclear Research (CERN) Geneva Switzerland40 Ecole Polytechnique Federale de Lausanne (EPFL) Lausanne Switzerland41 Physik-Institut Universitat Zurich Zurich Switzerland42 Nikhef National Institute for Subatomic Physics Amsterdam The Netherlands43 Nikhef National Institute for Subatomic Physics and VU University Amsterdam

Amsterdam The Netherlands44 NSC Kharkiv Institute of Physics and Technology (NSC KIPT) Kharkiv Ukraine45 Institute for Nuclear Research of the National Academy of Sciences (KINR) Kyiv Ukraine46 University of Birmingham Birmingham United Kingdom47 HH Wills Physics Laboratory University of Bristol Bristol United Kingdom48 Cavendish Laboratory University of Cambridge Cambridge United Kingdom49 Department of Physics University of Warwick Coventry United Kingdom50 STFC Rutherford Appleton Laboratory Didcot United Kingdom51 School of Physics and Astronomy University of Edinburgh Edinburgh United Kingdom52 School of Physics and Astronomy University of Glasgow Glasgow United Kingdom53 Oliver Lodge Laboratory University of Liverpool Liverpool United Kingdom54 Imperial College London London United Kingdom55 School of Physics and Astronomy University of Manchester Manchester United Kingdom56 Department of Physics University of Oxford Oxford United Kingdom57 Massachusetts Institute of Technology Cambridge MA United States58 University of Cincinnati Cincinnati OH United States59 University of Maryland College Park MD United States60 Syracuse University Syracuse NY United States61 Pontifıcia Universidade Catolica do Rio de Janeiro (PUC-Rio) Rio de Janeiro Brazil

associated to 2

62 Institute of Particle Physics Central China Normal University Wuhan Hubei China

associated to 3

63 Departamento de Fisica Universidad Nacional de Colombia Bogota Colombia

associated to 8

64 Institut fur Physik Universitat Rostock Rostock Germany associated to 12

65 National Research Centre Kurchatov Institute Moscow Russia associated to 32

66 Yandex School of Data Analysis Moscow Russia associated to 32

67 Instituto de Fisica Corpuscular (IFIC) Universitat de Valencia-CSIC Valencia Spain

associated to 37

68 Van Swinderen Institute University of Groningen Groningen The Netherlands associated to 42

ndash 43 ndash

JHEP01(2016)155

a Universidade Federal do Triangulo Mineiro (UFTM) Uberaba-MG Brazilb Laboratoire Leprince-Ringuet Palaiseau Francec PN Lebedev Physical Institute Russian Academy of Science (LPI RAS) Moscow Russiad Universita di Bari Bari Italye Universita di Bologna Bologna Italyf Universita di Cagliari Cagliari Italyg Universita di Ferrara Ferrara Italyh Universita di Urbino Urbino Italyi Universita di Modena e Reggio Emilia Modena Italyj Universita di Genova Genova Italyk Universita di Milano Bicocca Milano Italyl Universita di Roma Tor Vergata Roma Italym Universita di Roma La Sapienza Roma Italyn Universita della Basilicata Potenza Italyo AGH - University of Science and Technology Faculty of Computer Science Electronics and

Telecommunications Krakow Polandp LIFAELS La Salle Universitat Ramon Llull Barcelona Spainq Hanoi University of Science Hanoi Viet Namr Universita di Padova Padova Italys Universita di Pisa Pisa Italyt Scuola Normale Superiore Pisa Italyu Universita degli Studi di Milano Milano Italydagger Deceased

ndash 44 ndash

Introduction

Detector and data set

Event yield

Cross-section measurement

Muon reconstruction efficiencies

GEC efficiency

Final-state radiation

Selection efficiencies

Acceptance

Unfolding the detector response

Systematic uncertainties

Results

Cross-sections at sqrts = 8 TeV

Ratios of cross-sections at sqrts = 8 TeV

Ratios of cross-sections at different centre-of-mass energies

Conclusions

Differential measurements

Correlation matrices


JHEP01(2016)155

Published for SISSA by Springer

Received November 26 2015

Accepted January 6 2016

Published January 26 2016

Measurement of forward W and Z boson production

in pp collisions atradics = 8 TeV


E-mail simonebifanicernch

Abstract Measurements are presented of electroweak boson production using data from

pp collisions at a centre-of-mass energy ofradics = 8 TeV The analysis is based on an inte-

grated luminosity of 20 fbminus1 recorded with the LHCb detector The bosons are identified

in the W rarr microν and Z rarr micro+microminus decay channels The cross-sections are measured for muons

in the pseudorapidity range 20 lt η lt 45 with transverse momenta pT gt 20 GeVc and in

the case of the Z boson a dimuon mass within 60 lt Mmicro+microminus lt 120 GeVc2 The results are





the knowledge of the LHC beam energy and the fourth are due to the luminosity determi-

nation The evolution of the W and Z boson cross-sections with centre-of-mass energy is

studied using previously reported measurements with 10 fbminus1 of data at 7 TeV Differential

distributions are also presented Results are in good agreement with theoretical predictions

at next-to-next-to-leading order in perturbative quantum chromodynamics

Keywords Electroweak interaction Hadron-Hadron scattering Forward physics

ArXiv ePrint 151108039

Open Access Copyright CERN

for the benefit of the LHCb Collaboration

Article funded by SCOAP3

doi101007JHEP01(2016)155

JHEP01(2016)155

Contents

1 Introduction 1


3 Event yield 3



42 GEC efficiency 6



45 Acceptance 7



5 Results 9




6 Conclusions 20




1 Introduction










ndash 1 ndash

JHEP01(2016)155




















cosh (∆η2) (11)





pseudorapidity






these measurements










ndash 2 ndash

JHEP01(2016)155



















116 [23]




















3 Event yield




ndash 3 ndash

JHEP01(2016)155







R =radic














are identified






















purities are ρW+


= (7749plusmn 018)



ndash 4 ndash

JHEP01(2016)155

)c

Can

did

ates

(

1 G

eV

20000

40000

60000

= 8 TeVsLHCb +micro

minusmicro lt 45

microη20 lt

Data QCD

Fit Electroweak


]c [GeVmicro

Tp

Dat

aF

it

0809

11112

20 30 40 50 60 70 20 30 40 50 60 70

]2 [GeVcmicromicroM

60 80 100 120

)2

Can

did

ate

s

(05

GeV

c

0

1000

2000

3000

4000

5000

6000

7000

8000

9000 = 8 TeVsLHCb























plusmn(i)

LmiddotfW

plusmnFSR(i)









ndash 5 ndash

JHEP01(2016)155



given by εWplusmn






as follows


LmiddotfZFSR(i)

εGEC(i)middotsumj

U(i j)

(sumk

1

εZ(ηmicro+

k ηmicrominus

k )

)j

(42)






efficiencies





















muons as probes

42 GEC efficiency




ndash 6 ndash

JHEP01(2016)155













about 25 on average







acceptance

45 Acceptance




simulated sample











ndash 7 ndash

JHEP01(2016)155




Purity 028 021 021



Trigger 014 013 005

GEC 040 041 034






Total 167 159 179



























ndash 8 ndash

JHEP01(2016)155









are εW+







Z boson data sample




and 009




latter dominates










5 Results







appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155

Contents

1 Introduction 1


3 Event yield 3



42 GEC efficiency 6



45 Acceptance 7



5 Results 9




6 Conclusions 20




1 Introduction










ndash 1 ndash

JHEP01(2016)155




















cosh (∆η2) (11)





pseudorapidity






these measurements










ndash 2 ndash

JHEP01(2016)155



















116 [23]




















3 Event yield




ndash 3 ndash

JHEP01(2016)155







R =radic














are identified






















purities are ρW+


= (7749plusmn 018)



ndash 4 ndash

JHEP01(2016)155

)c

Can

did

ates

(

1 G

eV

20000

40000

60000

= 8 TeVsLHCb +micro

minusmicro lt 45

microη20 lt

Data QCD

Fit Electroweak


]c [GeVmicro

Tp

Dat

aF

it

0809

11112

20 30 40 50 60 70 20 30 40 50 60 70

]2 [GeVcmicromicroM

60 80 100 120

)2

Can

did

ate

s

(05

GeV

c

0

1000

2000

3000

4000

5000

6000

7000

8000

9000 = 8 TeVsLHCb























plusmn(i)

LmiddotfW

plusmnFSR(i)









ndash 5 ndash

JHEP01(2016)155



given by εWplusmn






as follows


LmiddotfZFSR(i)

εGEC(i)middotsumj

U(i j)

(sumk

1

εZ(ηmicro+

k ηmicrominus

k )

)j

(42)






efficiencies





















muons as probes

42 GEC efficiency




ndash 6 ndash

JHEP01(2016)155













about 25 on average







acceptance

45 Acceptance




simulated sample











ndash 7 ndash

JHEP01(2016)155




Purity 028 021 021



Trigger 014 013 005

GEC 040 041 034






Total 167 159 179



























ndash 8 ndash

JHEP01(2016)155









are εW+







Z boson data sample




and 009




latter dominates










5 Results







appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155




















cosh (∆η2) (11)





pseudorapidity






these measurements










ndash 2 ndash

JHEP01(2016)155



















116 [23]




















3 Event yield




ndash 3 ndash

JHEP01(2016)155







R =radic














are identified






















purities are ρW+


= (7749plusmn 018)



ndash 4 ndash

JHEP01(2016)155

)c

Can

did

ates

(

1 G

eV

20000

40000

60000

= 8 TeVsLHCb +micro

minusmicro lt 45

microη20 lt

Data QCD

Fit Electroweak


]c [GeVmicro

Tp

Dat

aF

it

0809

11112

20 30 40 50 60 70 20 30 40 50 60 70

]2 [GeVcmicromicroM

60 80 100 120

)2

Can

did

ate

s

(05

GeV

c

0

1000

2000

3000

4000

5000

6000

7000

8000

9000 = 8 TeVsLHCb























plusmn(i)

LmiddotfW

plusmnFSR(i)









ndash 5 ndash

JHEP01(2016)155



given by εWplusmn






as follows


LmiddotfZFSR(i)

εGEC(i)middotsumj

U(i j)

(sumk

1

εZ(ηmicro+

k ηmicrominus

k )

)j

(42)






efficiencies





















muons as probes

42 GEC efficiency




ndash 6 ndash

JHEP01(2016)155













about 25 on average







acceptance

45 Acceptance




simulated sample











ndash 7 ndash

JHEP01(2016)155




Purity 028 021 021



Trigger 014 013 005

GEC 040 041 034






Total 167 159 179



























ndash 8 ndash

JHEP01(2016)155









are εW+







Z boson data sample




and 009




latter dominates










5 Results







appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155



















116 [23]




















3 Event yield




ndash 3 ndash

JHEP01(2016)155







R =radic














are identified






















purities are ρW+


= (7749plusmn 018)



ndash 4 ndash

JHEP01(2016)155

)c

Can

did

ates

(

1 G

eV

20000

40000

60000

= 8 TeVsLHCb +micro

minusmicro lt 45

microη20 lt

Data QCD

Fit Electroweak


]c [GeVmicro

Tp

Dat

aF

it

0809

11112

20 30 40 50 60 70 20 30 40 50 60 70

]2 [GeVcmicromicroM

60 80 100 120

)2

Can

did

ate

s

(05

GeV

c

0

1000

2000

3000

4000

5000

6000

7000

8000

9000 = 8 TeVsLHCb























plusmn(i)

LmiddotfW

plusmnFSR(i)









ndash 5 ndash

JHEP01(2016)155



given by εWplusmn






as follows


LmiddotfZFSR(i)

εGEC(i)middotsumj

U(i j)

(sumk

1

εZ(ηmicro+

k ηmicrominus

k )

)j

(42)






efficiencies





















muons as probes

42 GEC efficiency




ndash 6 ndash

JHEP01(2016)155













about 25 on average







acceptance

45 Acceptance




simulated sample











ndash 7 ndash

JHEP01(2016)155




Purity 028 021 021



Trigger 014 013 005

GEC 040 041 034






Total 167 159 179



























ndash 8 ndash

JHEP01(2016)155









are εW+







Z boson data sample




and 009




latter dominates










5 Results







appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155







R =radic














are identified






















purities are ρW+


= (7749plusmn 018)



ndash 4 ndash

JHEP01(2016)155

)c

Can

did

ates

(

1 G

eV

20000

40000

60000

= 8 TeVsLHCb +micro

minusmicro lt 45

microη20 lt

Data QCD

Fit Electroweak


]c [GeVmicro

Tp

Dat

aF

it

0809

11112

20 30 40 50 60 70 20 30 40 50 60 70

]2 [GeVcmicromicroM

60 80 100 120

)2

Can

did

ate

s

(05

GeV

c

0

1000

2000

3000

4000

5000

6000

7000

8000

9000 = 8 TeVsLHCb























plusmn(i)

LmiddotfW

plusmnFSR(i)









ndash 5 ndash

JHEP01(2016)155



given by εWplusmn






as follows


LmiddotfZFSR(i)

εGEC(i)middotsumj

U(i j)

(sumk

1

εZ(ηmicro+

k ηmicrominus

k )

)j

(42)






efficiencies





















muons as probes

42 GEC efficiency




ndash 6 ndash

JHEP01(2016)155













about 25 on average







acceptance

45 Acceptance




simulated sample











ndash 7 ndash

JHEP01(2016)155




Purity 028 021 021



Trigger 014 013 005

GEC 040 041 034






Total 167 159 179



























ndash 8 ndash

JHEP01(2016)155









are εW+







Z boson data sample




and 009




latter dominates










5 Results







appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155

)c

Can

did

ates

(

1 G

eV

20000

40000

60000

= 8 TeVsLHCb +micro

minusmicro lt 45

microη20 lt

Data QCD

Fit Electroweak


]c [GeVmicro

Tp

Dat

aF

it

0809

11112

20 30 40 50 60 70 20 30 40 50 60 70

]2 [GeVcmicromicroM

60 80 100 120

)2

Can

did

ate

s

(05

GeV

c

0

1000

2000

3000

4000

5000

6000

7000

8000

9000 = 8 TeVsLHCb























plusmn(i)

LmiddotfW

plusmnFSR(i)









ndash 5 ndash

JHEP01(2016)155



given by εWplusmn






as follows


LmiddotfZFSR(i)

εGEC(i)middotsumj

U(i j)

(sumk

1

εZ(ηmicro+

k ηmicrominus

k )

)j

(42)






efficiencies





















muons as probes

42 GEC efficiency




ndash 6 ndash

JHEP01(2016)155













about 25 on average







acceptance

45 Acceptance




simulated sample











ndash 7 ndash

JHEP01(2016)155




Purity 028 021 021



Trigger 014 013 005

GEC 040 041 034






Total 167 159 179



























ndash 8 ndash

JHEP01(2016)155









are εW+







Z boson data sample




and 009




latter dominates










5 Results







appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155



given by εWplusmn






as follows


LmiddotfZFSR(i)

εGEC(i)middotsumj

U(i j)

(sumk

1

εZ(ηmicro+

k ηmicrominus

k )

)j

(42)






efficiencies





















muons as probes

42 GEC efficiency




ndash 6 ndash

JHEP01(2016)155













about 25 on average







acceptance

45 Acceptance




simulated sample











ndash 7 ndash

JHEP01(2016)155




Purity 028 021 021



Trigger 014 013 005

GEC 040 041 034






Total 167 159 179



























ndash 8 ndash

JHEP01(2016)155









are εW+







Z boson data sample




and 009




latter dominates










5 Results







appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155













about 25 on average







acceptance

45 Acceptance




simulated sample











ndash 7 ndash

JHEP01(2016)155




Purity 028 021 021



Trigger 014 013 005

GEC 040 041 034






Total 167 159 179



























ndash 8 ndash

JHEP01(2016)155









are εW+







Z boson data sample




and 009




latter dominates










5 Results







appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155




Purity 028 021 021



Trigger 014 013 005

GEC 040 041 034






Total 167 159 179



























ndash 8 ndash

JHEP01(2016)155









are εW+







Z boson data sample




and 009




latter dominates










5 Results







appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155









are εW+







Z boson data sample




and 009




latter dominates










5 Results







appendix A

ndash 9 ndash

JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155

[p

b]

microη

dν

microrarr

Wσ

d

200

400

600

800

1000

= 8 TeVsLHCb

)+W (statData CT14

)+W (totData MMHT14

)minus

W (statData NNPDF30

)minus

W (totData CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

091

11

091

11

Zy

2 25 3 35 4 45

[p

b]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

[pb]

Zy

dmicro

microrarr

Zσ

d

0

20

40

60

80

100

= 8 TeVsLHCb

)Z (statData CT14

)Z (tot Data MMHT14

NNPDF30

CT10

ABM12

HERA15

Theo

ryD

ata

0608

112

1416





ndash 10 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


88 90 92 94 96 98 100 102 [pb]minus

micro+microrarrZσ

1000 1050 1100 1150 [pb]

ν+microrarr+W

σ

760 780 800 820 840 860 880 [pb]

νminus

microrarrminus

Wσ












683 CL coverage



combined result is




uncorrelated

ndash 11 ndash

JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155

[pb]ν+microrarr+W

σ

1000 1050 1100 1150

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt

683 CL ellipse area


90 95 100

[p

b]

ν+

microrarr

+W

σ

1000

1050

1100

1150

1200

1250 = 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νminus

microrarr

minusW

σ

800

850

900

950

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area


90 95 100

[p

b]

νmicro

rarrW

σ

1800

1900

2000

2100

2200

= 8 TeVsLHCb

Data

systoplusstat Data


CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


683 CL ellipse area







(51)


(52)


(53)



ndash 12 ndash

JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155




Purity 025 035 030 030

Tracking 005 022 024 023


Trigger 004 010 009 009

GEC 013 022 023 021

Selection 010 024 024 023


Systematic 037 059 056 054

Beam energy 014 015 029 021

Total 050 069 073 066


ratios















of appendix B








ndash 13 ndash

JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155










defined as

R87W+ =



(56)

R87Wminus =



(57)

R87Z =



(58)


R87RWplusmn





(59)

R87RW+Z





(510)

R87RWminusZ





(511)

R87RWZ

=σ8TeVWrarrmicroν

σ7TeVWrarrmicroν



(512)













ndash 14 ndash

JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155

= 8 TeVsLHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt



σ

ν+microrarr+W

σ


σ

νminus

microrarrminus

Wσ


σ

νmicrorarrWσ

125 13 135 14 νminus

microrarrminus

Wσ

ν+microrarr+W

σ















c =

sumi ci δ

8TeVi δ7TeVi

δ8TeVδ7TeV(513)



is given in table 3

ndash 15 ndash

JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155

plusmnW

R

05

1

15

2 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ryD

ata

0951

105

microη2 25 3 35 4 45

Zplusmn

WR

5

10

15

20

25

Zplusmn

WR

5

10

15

20

25 = 8 TeVsLHCb

)+micro(Z

+W

R stat

Data CT14

)+micro(Z

+W

R tot

Data MMHT14

)-micro(Z

-W

R stat

Data NNPDF30

)-micro(Z

-W

R tot

Data CT10

ABM12

HERA15

2 25 3 35 4 4509

1

11

09

1

11

Theo

ryD

ata





ndash 16 ndash

JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155

microA

04minus

02minus

0

02

04 = 8 TeVsLHCb

statData CT14

totData MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

microη

2 25 3 35 4 45Theo

ry-D

ata

004minus002minus

0002004





R87W+ R

87Wminus R

87Z R

87RWplusmn

R87RW+Z

R87RWminusZ

R87RWZ

Statistical 030 037 049 048 058 062 055

Purity 041 045 mdash 065 041 045 029

Tracking 033 027 053 009 023 026 024

Identification 007 007 013 003 007 006 007

Trigger 027 025 009 008 019 016 017

GEC 015 014 009 007 009 009 008

Selection 017 017 mdash 004 017 017 016


Systematic 064 063 056 066 055 059 046



Total 161 162 163 082 080 086 072



ndash 17 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


115 12 125 13 135 7TeVminus

micro+microrarrZσ

8TeVminus

micro+microrarrZσ

115 12 125 13 135 7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

11 115 12 125 13 7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

















ndash 18 ndash

JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




JHEP01(2016)155

LHCb

statData

totData

CT14

MMHT14

NNPDF30

CT10

ABM12

HERA15

c gt 20 GeVmicro

Tp

lt 45micro

η20 lt


094 096 098 1 102 104 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ

09 092 094 096 098 1 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νminus

microrarrminus

Wσ

8TeV

νminus

microrarrminus

Wσ

092 094 096 098 1 102 8TeVminus

micro+microrarrZσ

7TeVminus

micro+microrarrZσ

7TeV

νmicrorarrWσ

8TeV

νmicrorarrWσ

1 102 104 106 108 11 8TeV

νminus

microrarrminus

Wσ

7TeV

νminus

microrarrminus

Wσ

7TeV

ν+microrarr+W

σ

8TeV

ν+microrarr+W

σ





R87RWplusmn


R87RW+Z


R87RWminusZ


R87RWZ








The ratios R87RW+Z

R87RWminusZ



ndash 19 ndash

JHEP01(2016)155

microη2 25 3 35 4 45

87

Zplusmn

WR

06

08

1

12

14

16

18

287

Zplusmn

WR

06

08

1

12

14

16

18

2)+micro(

87

Z+

WR

statData

)+micro(87

Z+

WR

totData

)-micro(87

Z-

WR

statData

)-micro(87

Z-

WR

totData

CT14 MMHT14

NNPDF30 CT10

ABM12 HERA15

2 25 3 35 4 45

091

11

091

11

Theo

ryD

ata






ratio The R87RW+Z




the R87RW+Z





6 Conclusions














ndash 20 ndash

JHEP01(2016)155

Acknowledgments



















ndash 21 ndash

JHEP01(2016)155








FSR










FSR













ndash 22 ndash

JHEP01(2016)155
























ndash 23 ndash

JHEP01(2016)155







































correction

ndash 24 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 25 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ηmicro RWplusmn











energy

ndash 26 ndash

JHEP01(2016)155

ηmicro Amicro ()











beam energy

ηmicro+

R87RW+Z









ηmicrominus

R87RWminusZ











systematic

ndash 27 ndash

JHEP01(2016)155


) [ pb ] fZFSR










) [ pb ] fZFSR













ndash 28 ndash

JHEP01(2016)155

ηmicro+

RW+Z









ηmicrominus












ndash 29 ndash

JHEP01(2016)155


ηmicro

2ndash22

522

5ndash25

25

ndash27

527

5ndash3

3ndash32

532

5ndash35

35

ndash4

4ndash45

2ndash225

1W

+

06

71

Wminus

225ndash25

02

00

10

1W

+

00

70

21

05

41

Wminus

25ndash275

01

30

24

01

202

31

W+

00

50

18

00

302

20

641

Wminus

275ndash3

00

60

22

00

302

80

260

271

W+

00

40

21

00

002

50

250

310

701

Wminus

3ndash325

00

70

22

00

302

80

250

260

330

301

W+

00

60

22

00

302

80

260

270

320

320

681

Wminus

325ndash35

00

30

23minus

001

02

80

280

270

350

330

340

321

W+

00

70

23

00

402

30

300

290

280

320

270

280

63

1Wminus

35ndash4

minus00

00

26minus

006

03

30

310

320

410

390

400

380

450

361

W+

01

4minus

006

02

0minus

00

4minus

01

3minus

004minus

008minus

011minus

007minus

007minus

017minus

019minus

004

1Wminus

4ndash45

minus00

70

14minus

014

02

40

140

230

320

290

320

260

350

220

45minus

015

1W

+

01

2minus

009

01

7minus

01

1minus

01

8minus

014minus

017minus

019minus

015minus

018minus

023minus

024minus

031

048

005

1Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

W+

Wminus

Tab

le15

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialW

+an

dWminus

cross

-sec

tion

sin

bin

sof

mu

onη

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

ty

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 30 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

2ndash2125

1

2125ndash225

01

91

225ndash2375

01

70

271

2375ndash25

01

60

260

281

25ndash2625

01

60

250

280

29

1

2625ndash275

01

50

240

270

29

030

1

275ndash2875

01

40

230

260

28

029

030

1

2875ndash3

01

40

210

250

27

029

030

030

1

3ndash3125

01

30

200

230

25

027

028

029

029

1

3125ndash325

01

10

170

200

23

025

026

027

028

027

1

325ndash3375

00

90

140

160

18

020

022

022

023

023

023

1

3375ndash35

00

80

120

150

17

019

020

021

022

022

022

020

1

35ndash3625

00

70

100

120

14

016

017

018

019

019

020

018

019

1

3625ndash375

00

60

080

100

11

013

014

015

016

016

017

016

016

015

1

375ndash3875

00

50

070

080

09

010

011

011

012

013

013

012

013

012

011

1

3875ndash4

00

30

050

060

06

007

008

008

009

009

010

009

010

009

008

007

1

4ndash425

00

30

040

040

05

005

006

006

006

007

007

007

008

007

007

006

005

1

425ndash45

00

10

010

010

01

001

001

001

001

001

001

001

002

002

001

001

001

001

1

Tab

le16

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofy Z

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 31 ndash

JHEP01(2016)155

pTZ

[GeV

c]

00ndash22

22ndash34

34ndash46

46ndash58

58ndash72

72ndash87

87ndash105

105ndash128

128ndash154

154ndash19

19ndash245

245ndash34

34ndash63

63ndash270

00ndash22

1

22ndash34

006

1

34ndash46

008

016

1

46ndash58

013

009

020

1

58ndash72

015

016

012

019

1

72ndash87

014

016

018

011

017

1

87ndash105

014

016

020

019

014

015

1

105ndash128

014

016

019

019

021

014

012

1

128ndash154

015

017

020

019

022

020

017

011

1

154ndash19

014

016

020

019

021

019

021

018

01

11

19ndash245

015

017

021

020

022

020

021

021

02

10

13

1

245ndash34

016

018

022

021

023

021

022

022

02

30

22

01

71

34ndash63

016

018

022

021

023

021

022

022

02

30

22

02

302

11

63ndash270

011

012

015

014

016

015

015

015

01

60

15

01

601

701

51

Tab

le17

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofpTZ

T

he

LH

Cb

eam

ener

gy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 32 ndash

JHEP01(2016)155

φlowast η

000ndash001

001ndash002

002ndash003

003ndash005

005ndash007

007ndash010

010ndash015

015ndash020

020ndash030

030ndash040

040ndash060

060ndash080

080ndash120

120ndash200

200ndash400

000ndash001

1

001ndash002

050

1

002ndash003

042

039

1

003ndash005

057

055

044

1

005ndash007

052

050

041

055

1

007ndash010

044

042

034

047

042

1

010ndash015

050

048

040

054

049

041

1

015ndash020

049

047

038

052

048

040

046

1

020ndash030

047

045

037

050

045

039

044

043

1

030ndash040

031

030

024

033

030

026

029

029

027

1

040ndash060

031

029

024

033

030

025

029

028

027

018

1

060ndash080

021

020

016

023

020

017

020

019

019

012

012

1

080ndash120

013

013

010

014

013

011

013

012

012

008

008

005

1

120ndash200

007

007

006

008

007

006

007

007

006

004

004

003

002

1

200ndash400

002

002

002

002

002

002

002

002

002

001

001

001

001

000

1

Tab

le18

Cor

rela

tion

coeffi

cien

tsb

etw

een

the

diff

eren

tialZ

cross

-sec

tion

inb

ins

ofφlowast η

Th

eL

HC

bea

men

ergy

an

dlu

min

osi

tyu

nce

rtain

ties

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss-

sect

ion

mea

sure

men

ts

are

excl

ud

ed

ndash 33 ndash

JHEP01(2016)155

y Z2ndash2125

2125ndash225

225ndash2375

2375ndash25

25ndash2625

2625ndash275

275ndash2875

2875ndash3

3ndash3125

3125ndash325

325ndash3375

3375ndash35

35ndash3625

3625ndash375

375ndash3875

3875ndash4

4ndash425

425ndash45

ηmicro

2ndash225

023

03

002

80

270

260

250

240

230

210

180

15

013

011

010

00

700

500

400

1W

+

021

02

802

60

250

240

240

220

210

200

170

14

012

011

009

00

700

500

400

1Wminus

225ndash25

005

01

502

10

200

200

200

200

190

180

160

14

012

010

008

00

600

400

300

1W

+

004

01

401

90

180

180

180

180

170

160

150

12

011

009

007

00

500

400

300

0Wminus

25ndash275

004

00

701

20

150

160

170

170

170

160

150

13

013

011

008

00

600

500

300

1W

+

004

00

701

10

140

150

150

150

150

150

140

12

012

010

008

00

600

400

300

1Wminus

275ndash3

005

00

801

00

130

160

170

170

170

160

160

14

013

012

009

00

700

500

300

1W

+

005

00

700

90

120

140

150

150

160

150

140

12

012

011

008

00

600

400

300

1Wminus

3ndash325

006

00

801

00

110

140

160

170

170

160

160

14

014

012

010

00

700

500

300

1W

+

005

00

800

90

100

130

150

150

160

150

150

13

013

011

009

00

700

500

300

1Wminus

325ndash35

004

00

600

70

090

100

110

120

130

130

120

11

011

009

008

00

600

400

300

0W

+

004

00

600

80

090

100

120

130

130

130

130

11

011

010

008

00

600

400

300

0Wminus

35ndash4

004

00

600

70

080

090

100

110

120

120

120

11

011

010

009

00

700

500

400

0W

+

004

00

600

80

090

100

110

120

130

140

140

12

012

011

010

00

800

600

400

1Wminus

4ndash45

002

00

300

40

040

040

040

050

050

060

060

06

007

006

006

00

500

400

400

1W

+

003

00

400

40

050

050

060

060

060

070

070

07

008

008

007

00

600

500

400

1Wminus

Tab

le19

Cor

rela

tion

coeffi

cien

tsb

etw

een

diff

eren

tialW

an

dZ

cross

-sec

tion

sin

bin

sof

mu

onη

an

dy Z

re

spec

tive

ly

Th

eL

HC

bea

men

ergy

an

d

lum

inos

ity

un

cert

ainti

es

wh

ich

are

full

yco

rrel

ated

bet

wee

ncr

oss

-sec

tion

mea

sure

men

ts

are

excl

ud

ed

ndash 34 ndash

JHEP01(2016)155

ηmicro+


200ndash225 1

225ndash250 031 1

250ndash275 030 027 1

275ndash300 031 028 026 1

300ndash325 032 028 026 027 1

325ndash350 027 025 023 023 023 1

350ndash400 033 030 028 028 028 025 1

400ndash450 028 025 023 024 023 020 023 1

ηmicrominus


200ndash225 1

225ndash250 029 1

250ndash275 030 029 1

275ndash300 030 028 028 1

300ndash325 030 027 027 027 1

325ndash350 027 025 025 024 024 1

350ndash400 031 029 029 028 028 025 1

400ndash450 028 025 025 024 024 021 024 1





ndash 35 ndash

JHEP01(2016)155

Z

ηmicro+


W

200ndash225 048 019 019 020 020 018 022 018

225ndash250 015 038 016 016 016 014 017 014

250ndash275 014 014 026 014 014 013 016 012

275ndash300 014 014 014 026 015 013 016 012

300ndash325 015 014 014 015 025 013 015 012

325ndash350 011 011 011 011 011 017 012 009

350ndash400 010 010 011 011 011 010 018 008

400ndash450 006 006 006 006 006 005 006 011

Z

ηmicrominus


W

200ndash225 043 018 019 019 019 018 021 018

225ndash250 013 035 015 015 014 014 016 013

250ndash275 012 013 025 013 013 012 014 012

275ndash300 012 013 014 024 013 012 014 012

300ndash325 013 013 014 014 023 013 015 012

325ndash350 011 011 012 012 012 018 012 010

350ndash400 011 012 012 012 012 011 020 010

400ndash450 007 006 007 007 007 006 007 013


(top) ηmicro+







References





(2002) 403] [INSPIRE]







094008 [hep-ph0312266] [INSPIRE]

ndash 36 ndash

JHEP01(2016)155













05 (2015) 109 [arXiv150300963] [INSPIRE]



85 (2012) 072004 [arXiv11095141] [INSPIRE]










(2011) 1600 [arXiv10091580] [INSPIRE]









(2005) 388 [INSPIRE]





ndash 37 ndash

JHEP01(2016)155


(2006) 026 [hep-ph0603175] [INSPIRE]




(2001) 152 [INSPIRE]






Meth A 506 (2003) 250 [INSPIRE]





[INSPIRE]


56 (1997) 5558 [hep-ph9704258] [INSPIRE]





[INSPIRE]
















(2015) 040 [arXiv14108849] [INSPIRE]



ndash 38 ndash

JHEP01(2016)155












372 (1996) 469 [hep-ph9509307] [INSPIRE]










CERN (2013)



082001 [arXiv09032120] [INSPIRE]


C 74 (2014) 3004 [arXiv14024016] [INSPIRE]

ndash 39 ndash

JHEP01(2016)155
















































ndash 40 ndash

JHEP01(2016)155

















































ndash 41 ndash

JHEP01(2016)155






























ndash 42 ndash

JHEP01(2016)155






associated to 2


associated to 3


associated to 8





associated to 37


ndash 43 ndash

JHEP01(2016)155



ndash 44 ndash

Introduction


Event yield



GEC efficiency



Acceptance



Results




Conclusions




University of Groningen Measurement of forward W and Z ...Aaij, R., Beteta, C. A., Adeva, B.,...

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Transcript of University of Groningen Measurement of forward W and Z ...Aaij, R., Beteta, C. A., Adeva, B.,...