Measurement of CP Observables in B - D 0 K - Decays at CDF
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Transcript of Measurement of CP Observables in B - D 0 K - Decays at CDF
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MEASUREMENT OF CP OBSERVABLES IN B-D0K- DECAYS AT CDFKaren GibsonUniversity of PittsburghICHEP 200808/01/08
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CP ASYMMETRIES IN B-D0K- DECAYS CP asymmetries in
B-D0K- decays can be used to gain information about CKM angle Use method devised by
Gronau-London-Wyler (GLW) to construct CP asymmetries based on decay rates
= arg((-VudV*ub)/(VcdV*cb))Note: Charge conjugates of B- and D0 decays are implied unless both are specifically discussed!
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CURRENT STATUS OF As of FPCP 2007, B-
D0K- asymmetries have been measured by Belle and BaBaR Measurement is still
quite statistically limited
All additional measurements help significantly CDF’s large sample of B-
decays gives opportunity to contribute significantly!
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GLW METHOD
Measure CP asymmetry between B+ DCP0K+ and B- DCP
0K-
Ambiguities in remain Measure sin two possible solutions
Relative phase between f.s. final states sinsin)()(2
)()(00
2020
----
--
-
KDBAKDBA
KDBAKDBA CPCP
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B-D0K- DECAYS
Consider flavor-specific and CP-even D0 decays CP-even: D0K+K-, D0 p+p-
Flavor-specific: D0K-p Don’t consider CP-odd decays
D0Ks0p0, D0Ks
0r0, D0Ks0w, D0Ks
0j Can’t easily reconstruct p0, r0, w & statistics too low in Ks
0j
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CP OBSERVABLES IN GLW METHOD Start with experimentally accessible
observables:
Construct CP observables:
,)()()()(
00
00
--
--
pp DBBRDBBRKDBBRKDBBRR
)()()()(
00
00
-
-
-
-
pp CPCP
CPCP
DBBRDBBRKDBBRKDBBRR
-
-
-
-
-
CP
CPCP
CPCPCP
RrKDBBRKDBBRKDBBRKDBBRA
/sinsin2)()()()(
00
00
,coscos21 2 rrRRRCP
)(
)(where
0
0
--
--
KDBA
KDBAr
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MEASUREMENT OF B-D0K- AT CDF
Use data collected with with CDF’s displaced track trigger detector between February 2002 and February 2006
Measure relative BR using kinematic information and particle-flavor identification in simultaneous maximum likelihood fit Invariant mass, particle momenta, dE/dx First measurement at a hadron collider!
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SELECTION TO REDUCE BACKGROUNDS
Optimize sensitivity to ACP+ Fit in mass window m(D0p) [5.17, 5.60] GeV/c2
Reduce backgrounds from decays other than B-D0(*)p-
Veto event in ±2s around B-J/K- to eliminate contamination in B-D0[ pp-]K- sample Must include background
events from B- K- K K- in likelihood fit
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RECONSTRUCTED B- AFTER SELECTION
N(B-D0[ K-p]p-) ~ 7,500
N(B-D0[ K+K-]p-) ~ 1,000
N(B-D0[ pp-]p-) ~ 250
D0 K-p
D0 K+K- D0 p+p-
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INPUTS TO LIKELIHOOD FIT Variables input to fit
m(D0p) ptot = pp/K + pD0
a = 1 - pp/K/pD0, pp/K pD0
-(1 - pD0/pp/K), pp/K pD0
k = (dE/dxmeas – dE/dxexp(p))/ (dE/dxexp(K) – dE/dxexp(p))
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MAXIMUM LIKELIHOOD FIT Total likelihood written for each channel and charge
Simultaneously minimize all six likelihoods Use MC to model correlations between a and ptot in
FDK, FDp, and FD*p PDFs Use mass sidebands for background Fbg PDF
)),(,,())),(,,()),(,,(
)),(,,()1(()1((
0
0**
0
0*
kpakpakpa
kpa
pppp
pp
DmpFfDmpFfDmpFf
DmpFfffL
totbgbg
totDDtotDD
Nevents
ktotDKDDbg
---
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RAW ASYMMETRIES
Correct raw numbers Use Monte Carlo to correct for relative efficiencies
between decay modes Also correct for small biases observed in pseudo-
experiments
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SYSTEMATIC UNCERTAINTIESSource R RCP+ ACP+
dE/dx 0.0028 0.056 0.030Input B- mass 0.0002 0.004 0.002D0*p- mass model 0.0028 0.025 0.006Combinatoric mass model 0.0002 0.020 0.001(a, ptot) model of combinatoric bg.
0.0002 0.100 0.020
(a, ptot) model of D0p- 0.0001 0.002 0.001(a, ptot) model of D0*p- 0.0007 0.004 0.002(a, ptot) model of D0K- 0.0006 0.002 0.004Bias error 0.0001 0.005 0.003MC statistics 0.002 - -
Total 0.0045 0.12 0.04
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RESULTS
First measurement of CP observables at a hadron collider will soon be submitted to PRD!
R = 0.0745 ± 0.0043 (stat) ± 0.0045 (syst)
RCP+ = 1.30 ± 0.24 (stat) ± 0.12 (syst)
ACP+ = 0.39 ± 0.17 (stat) ± 0.04 (syst)
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BACK-UP
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DATA SELECTION Optimize selection for sensitivity to ACP+
Use pseudo-experiments to choose value of cuts based on smallest expected error on ACP+
Table of selection requirements
Parameter Valuec3D
2 13pT(B)/(pT(B)+DR=1.0pT(trk))
> 0.65
Lxy(B)/sLxy(B) > 12
Lxy(D) > 0.04 cmLxy(BD) > 0.01 cm|d0(B)| 0.007 cmpT(p/K ) > 2 GeV/cDR(p,D0) 2
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SIGNAL PDFS Signal probabilities FDK and FDp include correlations
between a and ptot
Shapes of m(a, ptot) and P(a, ptot) are determined from CDF Monte Carlo that includes realistic detector simulation
)(),()),()(()),(,,( 00 kaapkpa PpPpmDmGDmpF tottotitoti -
---
--
--
22
22
222222
))2/()1((
))2/()1((
))2/((2),( 0
aa
aa
aa
p
p
totK
tot
totDKBtot
pm
pm
pmmmmpmwhere
2222
22222
))2/(())2/((
))2/()1((2 0
aa
aa
p
p
---
---
totKtot
totDKB
pmpm
pmmmm
for a > 0
for a 0
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BACKGROUND PDFS Background probabilities FD*p and Fbg also
include correlations between a and ptot
PD*p (a, ptot) determined from CDF Monte Carlo that includes realistic detector simulation
Pbg (a, ptot) determined from mass sidebands
)(),())(()),(,,( 00 kapkpa PpPDmBGDmpF tottoti
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RAW YIELDS FROM FITDecay Raw Fraction Raw YieldB+ D0p+ 0.902 ± 0.006 3769 ± 68B- D0p- 0.902 ± 0.006 3763 ± 68B+ D0K+ 0.060 ± 0.005 250 ± 26B- D0K- 0.064 ± 0.005 266 ± 27B+ DCP
0p+ [K+K-]p+ 0.902 ± 0.017 498 ± 29B- DCP
0p- [K+K-]p+ 0.849 ± 0.017 509 ± 29B+ DCP
0K+ [K+K-]K+ 0.060 ± 0.017 33 ± 11B- DCP
0K- [K+K-]K+ 0.116 ± 0.017 70 ± 13B+ DCP
0p+ [p+p-]p+ 0.902 ± 0.017 109 ± 14B- DCP
0p- [p+p-]p+ 0.849 ± 0.017 139 ± 15B+ DCP
0K+ [p+p-]K+ 0.060 ± 0.017 7 ± 3B- DCP
0K- [p+p-]K+ 0.116 ± 0.017 19 ± 5
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EXTRACTING ASYMMETRY RATES Use fractions measured in fit times total
number of B - events measured in each sample to determine number of events in individual components e.g. N(B- D0 K- [K+K-]K-) = NKKK(1-fbg)(1-fDp-fD*p
Correct for relative efficiencies between decay modes using realistic MC
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CHECKS OF FIT Check goodness of
fit with relative likelihood
)()()(
backgroundpdfDKBpdfDKBpdfRL