Lecture 14Lecture 1 Lecture 1 Lecture 1 Lecture 1 Lecture 1 Lecture 1 Lecture 1 Lecture 1 vv
Lecture 2. CCQE -...
Transcript of Lecture 2. CCQE -...
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Lecture 2. CCQEM.O. Wascko 45th Karpacz Winter School
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Lecture 2: CCQE
• Introduction
• Event kinematics and topology
• Experimental Searches
• Event Selections
• Efficiencies and Systematics
• Extracted parameters
• Upcoming measurements
K2K (SciFi & SciBar),
MiniBooNE, SciBooNE
2
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CCQE Intro
• Terminology:
• Charged current quasi-elastic
• Simple reaction kinematics
• Dominant reaction at 1 GeV
3
νµ
n
µ−
W+
p
p
µn
eνµ
12C
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CCQE Intro
• Terminology:
• Charged current quasi-elastic
• Simple reaction kinematics
• Dominant reaction at 1 GeV
3
νµ
n
µ−
W+
p
p
µn
eνµ
12C
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CCQE Intro
• Determine flux (in near detector)
• Reconstruct neutrino energy using outgoing lepton
• Energy reconstruction is important for neutrino oscillation measurements
4
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• 2 fundamental parameters
• Δm2 ↔ period
• θ12 ↔ magnitude
• 2 experimental parameters
• L = distance travelled
• E = neutrino energy
• Choose L&E to target ranges of Δm2 and θ
• Neutrinos disappear and appear
5
P(!µ! !e) = sin2 2"12 sin2(1.27#m212
LE
)
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• 2 fundamental parameters
• Δm2 ↔ period
• θ12 ↔ magnitude
• 2 experimental parameters
• L = distance travelled
• E = neutrino energy
• Choose L&E to target ranges of Δm2 and θ
• Neutrinos disappear and appear
5
P(!µ! !e) = sin2 2"12 sin2(1.27#m212
LE
)
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• 2 fundamental parameters
• Δm2 ↔ period
• θ12 ↔ magnitude
• 2 experimental parameters
• L = distance travelled
• E = neutrino energy
• Choose L&E to target ranges of Δm2 and θ
• Neutrinos disappear and appear
5
P(!µ! !e) = sin2 2"12 sin2(1.27#m212
LE
)
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• 2 fundamental parameters
• Δm2 ↔ period
• θ12 ↔ magnitude
• 2 experimental parameters
• L = distance travelled
• E = neutrino energy
• Choose L&E to target ranges of Δm2 and θ
• Neutrinos disappear and appear
5
P(!µ! !e) = sin2 2"12 sin2(1.27#m212
LE
)
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• 2 fundamental parameters
• Δm2 ↔ period
• θ12 ↔ magnitude
• 2 experimental parameters
• L = distance travelled
• E = neutrino energy
• Choose L&E to target ranges of Δm2 and θ
• Neutrinos disappear and appear
5
P(!µ! !e) = sin2 2"12 sin2(1.27#m212
LE
)
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• 2 fundamental parameters
• Δm2 ↔ period
• θ12 ↔ magnitude
• 2 experimental parameters
• L = distance travelled
• E = neutrino energy
• Choose L&E to target ranges of Δm2 and θ
• Neutrinos disappear and appear
5
P(!µ! !e) = sin2 2"12 sin2(1.27#m212
LE
)
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CCQE Topology
• Final state particles in detector:
• Outgoing lepton
• Key to measurement
• Muons can be tagged with penetration, PID or decay electron
• Recoil nucleon
• Usually below Cherenkov threshold
• Recoil nucleus
• Effectively invisible
6
p
µn
eνµ
12C
Main background comes from CC1π+ with unobserved pion
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Axial Form Factor• Recall CCQE cross section written in Llellwyn
Smith formalism:
• Axial form factor usually parameterized as a dipole function:
7
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Q2(GeV/c)2dσ
/dq2
(10-
38cm
2/(G
eV/c
)2)
MA=1.2 GeVMA=1.1 GeVMA=1.0 GeV
Shape only
AbsoluteCross-section
(includes normalization)
8
Importance of MA
MA=1.0 GeVMA=1.1 GeVMA=1.2 GeV
Q2(GeV/c)2
R. Gran
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Basic Data Reduction
9
Number of muons
Number of tracks
Particle identification
Energy depositaround the vertex
Timing and fiducial volume cuts
1,2, multi tracks
Neutrino Data Sample
Raw Data Sample
Charged, Neutral Current
MIP, shower, proton
untracked particles?
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SciBooNE CCQE
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CC Inclusive
11
• µ's easily identified if penetrate MRD• 96% pure CC• 21,431 stopped ν events
•Normalisation set by •MRD-matched events
Y. Nakajim
a
SciBar MRDEC
µ
ν
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CC Inclusive
12
SciBar MRDEC
µ
ν
pµ resolution = 50 MeV/cθµ resolution = 0.90
Angular discrepancy is not detector
effect→physics?
Y. Nakajima
Normalised to MRD matched events
MRD stopped events
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CC Inclusive - Fe
13
SciBar MRDEC
µν
Y. Nakajima
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μ+p
w/o activityw/ activity
>2track1track
14
CC event classification
MRD-stoppedCC analysis
samples
Define MCnormalization
Number of tracks
Particle identification
Energy depositaround the vertex
SciBar-MRD matched sample
MRD-stopped
2track
μ+π
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μ+p
w/o activityw/ activity
>2track1track
14
CC event classification
MRD-stoppedCC analysis
samples
Define MCnormalization
Number of tracks
Particle identification
Energy depositaround the vertex
SciBar-MRD matched sample
MRD-stopped
2track
μ+π
MRD-penetrated
Same selection
MRD-penetratedCC analysis
sample
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SciBar Cuts
15
• Additional track parameters used to distinguish interaction signatures
• Vertex separation
• 2nd track angle
• Δθp
p
μμμ
n
p
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SciBar Cuts
15
• Additional track parameters used to distinguish interaction signatures
• Vertex separation
• 2nd track angle
• Δθp
μν
pΔθp
CCQE
K. Hiraide
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K. Hiraide
MIP-like
SciBar PID
Cut at MuCL>0.05 for 2nd tracks:84% π+ efficiency~90% p rejection
16
Energy depositused as PID
K. Hiraide
K. Hiraide
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-50 0 50 100 150 200 250 300
-150
-100
-50
0
50
100
150
CCQE - 1 track
1 track events 67% pure CCQE
Prelim
inary
Stat.
err. o
nly
J. Alcaraz-Aunion
µ
using NEUT (MA=1.1 GeV)
SciBooNE data
17
W+
νµ,e
n p
µ-,e-
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CCQE - 2 track
W+
νµ,e
n p
µ-,e-
2 track events 81% pure CCQE(µ + proton using PID)
µ
p
J. Alcaraz-Aunion
Prelim
inary
Stat.
err. o
nlySciBooNE data
18using NEUT (MA=1.1 GeV)
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SciBar MRDEC
µ
ν
CCQE - SciBar only
• Events can remain in SciBar only• Look for muon decay to
tag the muon tracks
• Different kinematic regions
• Different systematics on pµ measurement
19
ν
J. Walding
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SciBar MRDEC
µ
ν
CCQE - SciBar only
• Events can remain in SciBar only• Look for muon decay to
tag the muon tracks
• Different kinematic regions
• Different systematics on pµ measurement
19
τµ = 2.003 ± 0.047 (stat) µsexpected = 2.026 ± 0.001 µs
Suzuki, et al., PRC35, 2122 1987
Prelim
inary
Stat.
err. o
nly
J. Walding
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K2K CCQE
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To Muon Range Detector
Muon in the Muon Range Detector must have pmuon > 600 MeV/c
Recoil proton threshold isthree layers in SciFi
pproton > ~ 600 MeV/c
SciFi CCQE
1-track events with muon only2-track events with muon plus either proton or pion
21
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1 track event 2 track event
Event Selection
Neutrino interaction on H2O target (+ 20% Aluminum)
Typical two-track event showing the muon and second track
22
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use the location of proton track to separate events
into three subsamples:
1-track (no proton) 60% QE 2-track QE enhanced 60% QE
2-track nQE 85% nonQE, 15% QE(NEUT)
2 track events
23
R. Gran
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Basic Distributions, Pµ, θµ for Scifi Detector
Overall agreement is good
One-track events (60% QE, NEUT)Muon momentum Muon angle
Pµ θµ
24
R. Gran
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Reconstructed Q2 distribution in SciFi detector
1 track sample
Q2 (GeV/c)2
2 track non-QE
Q2 (GeV/c)2
2 track QE enhanced
Q2 (GeV/c)2
25
R. Gran
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Quasi Elastic fraction
Monte Carlo best fit
Fit only Q2 > 0.2 region
-> Q2 cut
Most significant uncertainties due to Pauli
blocking and choice of nuclear model, coherent pion, correction to DIS
Reconstructed Q2 (GeV/c)2
26
QE signal and inelastic backgroundare treated the same way
R. Gran
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Free nucleon (no Pauli Blocking)
210kf = 225
235MeV/c
We Cut here
Uncertainty in QE cross section due to Pauli Blocking
in the Q2 < 0.2 regiona Fermi-gas model with different Fermi-momenta kf
27
R. Gran
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K2K SciFi MA fit
1 Track 2 Track QE 2 Track nQE
Reconstructed Q2
28
Fit the 1track, 2track (QE), and 2track (nonQE) simultaneouslyK2K-I: 8114 events total 4310 Q2>0.2 in fit
K2K-IIa: 5967 events total 2525 Q2>0.2 in fit
MA = 1.20 ± 0.03 stat ± 0.12 systBodek/Yang DIS correction and Marteau Coherent Pi cross-section
R. Gran
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Systematic Errors
29
Source UncertaintyEnergy scale 0.08
LG density 0.02
Escale/LC correlation 0.04
Escale-MA correlation 0.03
MA-1pi 0.03
nQE/QE 0.03
Statistics 0.012
TOTAL 0.12
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K2K: SciBar• Event selection similar to SciBooNE’s
• (actually, SciBooNE’s was based on K2K’s)
30
Sample Q2>0.0 Purity Q2>0.2 Purity
1-trk 7405 54% 4032 59%
2-trk QE
1264 77% 1142 80%
2-trk non-QE
1537 19% 923 28%
TOTAL 10206 52% 6097 59%
F. Sanchez
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K2K: SciBar
• Fit 3 data samples, allowing these parameters to float:
• Overall normalization
• MA
• Ratio of nonQE/QE
• Ratio of 2-trk/1-trk
• Ratio of 2-trk nonQE/2-trk QE
• 4 energy bins constrained by PIMON data
31
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K2K: SciBar
32
MA = 1.144 ± 0.077 (fit) +0.078 -0.072 (syst)
F. Sanchez
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K2K: SciBar Systematics
• Systematics
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MiniBooNE CCQE
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MiniBooNE Cuts
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p
µn
eν12C
74% pure CCQE (NUANCE)
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MiniBooNE Data/MC
• MA fitting
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T. Katori
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Effect of MA and κ
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T. Katori
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After Fitting
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T. Katori
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After fitting
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T. Katori
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Is κ necessary?
• Only MA is allowed to vary in this fit
• Such a fit cannot improve over all phase space
• (Additional experimental information would allow different tests)
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T. Katori
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MB CCQE Systematics
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Source δMA(GeV) δκ
Data statistics 0.03 0.003
neutrino flux 0.04 0.003
neutrino cross section 0.06 0.004
detector model 0.10 0.003
CCpi+ background shape 0.02 0.007
TOTAL 0.20 0.011
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Comparisons
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• MiniBooNE has nearly flat acceptance in Q2
• But no resolution of protons
• SciBooNE (with MRD) falls off quickly because we require a forward going muon
• SciBar contained analysis is needed!
MiniBooNE
SciBooNE (MRD)
T. Katori
J Alcaraz
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Summary
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References
• SciFi: Phys.Rev. D74 (2006) 052002, hep-ex/0603034v1
• SciBar: NuInt07 proceedings
• MinBooNE: Phys.Rev.Lett 100:032301 (2008) arXiv:0706.0926v2 [hep-ex]
• NOMAD: arXiv:0812.4543v3 [hep-ex]
• MA= 1.05 ± 0.02(stat) ± 0.06(syst) GeV.46
I didn’t mention: