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1 CP violation in B → , Hiro Sagawa (KEK) FLAVOR PHYSICS & CP VIOLATION, Ecole Polytechnique, Paris, France on June 3-6, 2003
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2 Outline CP asymmetries in B 0 → decayCP asymmetries in B 0 → decay –CP violating parameters : S and A (= C ) Belle : hep-ex/0301032 ( to be appeared in PRD ) BaBar : Phys. Rev. Lett. 281802 –Bound on Penguin Pollution from isospin relation ( B → and decays ) CP asymmetries in B 0 → decay ( )CP asymmetries in B 0 → decay ( ) –Quasi-two-body analysis BaBar : update at Recontres de Moriond 2003 Belle BaBar
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3 Introduction
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4 B Unitarity triangle Quark mixing is described by the 3x3 Cabibbo-Kobayashi-Maskawa (CKM) matrix. (Wolfenstein parametrization) 1()1() 3()3() 2()2() One irreducible complex phase derives CP violation.
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5 CP violation in mixing and decay CP violation in neutral B meson results from the interference between decays with and without mixing.
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6 Time evolution in B 0 π + π – q= +1 for B 0 tag 1 for B 0 tag t= z/( c) (Belle)
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7 CP violation in B 0 π + π – B0B0 b d B0B0 tt d b B0B0 mixing b b d u d B0B0 u d W+W+ Tree(T) b d B0B0 d u u d g t Penguin(P) decay
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8 Analysis Procedure
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9 Data sample Event Selection Flavor tagging Vertex and t Continuum suppression : charmless B decays BR ~ 10 -5 -10 -6 : rare decays world average (10 -6 ) Need a lot of data Data sample Belle 85 million BB pairs BaBar 88 million BB pairs BaBar 89 million BB pairs (HFAG table )
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10 Kinematics: Reconstruction of CP side Event Selection Flavor tagging Vertex and t Continuum suppression Kinematics M bc (GeV/c 2 ) E(GeV) Signal MC
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11 Good K/ separation Event Selection Flavor tagging Vertex and t Continuum suppression Belle ACC(Aerogel Cherenkov Counter) + CDC dE/dx For the tracks in the momentum range that covers the B 0 signal, effciency = 91% 10.3% of kaons are misidentified as pions. 10.0 0.2% from K 10.6 0.2% from K + The effect of asymmetry of this misidentification is negligible for the measurement of A and S . Threshold type
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12 Good K/ separation Event Selection Flavor tagging Vertex and t Continuum suppression BaBar DIRC (Detector of Internally Reflected Cherenkov light) /K separation Cherenkov angle (, ) is used separately as PDF for maximum likelihood fit. Cherenkov angle for positively and negatively charged tracks
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13 Flavor tagging Event Selection Flavor tagging Vertex and t Continuum suppression Use flavor specific properties and correlations
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14 Continuum background Event Selection Flavor tagging Vertex and t Continuum suppression use kinematics and topology to separate spherical B decays from jetty qq events
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15 Continuum suppression B 0 for the case of Belle Cut on a likelihood ratio (LR) that combines an event topology variable (SFW) and B flight direction (cos B ) SFW: Super Fox Wolfram Fisher discriminant using modified Fox-Wolfram moments SFW cos B LR
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16 Vertex reconstruction Flavor tagging Vertex and t Continuum suppression The same algorithm as that used for sin2 1 meas. Resolution mostly determined by the tag- side vtx. Example vertices B 0 lifetime of control sample 1.551 0.018(stat) ps Time resolution (rms) 1.43ps (PDG02: 1.542±0.016 ps) Event Selection
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17 CP asymmetries in B 0
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18 Event reconstruction (Belle) Beam-constrained mass (M bc ) energy difference ( E) (in E signal region) (in M bc signal region) B-candidate energy – beam energy (CMS) K other rare B decays qq continuum
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19 Fit results (Belle) 5-50 5 0 5 0 Large CP Violation is seen ! B 0 tag sin term cos term hep-ex/0301032 accepted for Phys. Rev. D LR>0.825
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20 Confidence Regions (Belle) Feldman-Cousins frequentist approach 1) Evidence for CP violation in B 0 π + π – 2) “Indication” of direct CP Violation (A >0) CL for CP conservation 3.4
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21 Constraints on the CKM angle 2 ( ) |P/T| 0.15-0.45 (representative) Theory ~0.3 1 23.5deg (= ) (Belle & BaBar combined) 2 (= ) strong phase difference 78 o < 2 <152 o (95.5%C.L.) <0 favored 22 |P/T|=0.45
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22 Constraint on - 2 =78 o 2 =118 o 2 =152 o 11 22 33 Belle’s results of 1 and 2 are consistent with other measurements. PDG2002 + ( Belle 1 & 2 )
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23 m ES and E (BaBar) -enhanced events Phys Rev Lett 89, 281802 (2002) K -enhanced events m ES EE EE
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24 CP asymmetry result (BaBar) Projection in signal -enhanced events Phys Rev Lett 89, 281802 (2002) Asymmetry Events/1ps (A =+0.30)
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25 The difference is at 2.2 level. It’s early to say conclusively for the difference. Fit results (Belle&BaBar) &
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26 Comparison with predictions PQCD A BelleBaBarPQCDQCDF hep-ex/0301032PRL,281802 (2002) PRD67,054009 (2003) NPB606,245 (2001) (%) Purple regions : PQCD favored Region for each 2 (60 o, 100 o, 150 o )
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27 A bound on =| eff - | with an upper limit on can constrain on using isospin relation.
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28 A bound on =| eff - | Gronau/London/Sinha/Sinha bound (PL B514, 315 (2001)) (deg) HFAV table
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29 CP asymmetries in B 0
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30 CP-Violating Asymmetries in B → , Principle: measure directly, even with penguins using full Dalitz-plot analysis –difficulty Combinatorics and lower efficiency in three-body topology with 0 Large backgrounds from misreconstructed signal events and other B decays Need large statistics to extract cleanly “ quasi-two-body ” analysis: –Select the -dominated region of the K Dalitz plane (Rejected when.) –Suppression of qq backgrounds –Simultaneous fit for and
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31 Final state : not a CP eigenstate Basically there are four tree amplitudes: CP Violation Study in B 0 → π decay
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32 B 0 → π Time-dependence Decay rate distribution
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33 direct CP violation → A CP and C = 0 indirect CP violation → S = 0 C and S are insensitive to CP violation Time evolution includes: Time-integrated asymmetry: Q is the charge K is self- tagging: Fit for:
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34 Preliminary The results with 89 million BB pairs @2003 Moriond EW BR of and K Charge asymmetry of and K B 0 → π/ K (BaBar) Yields and Charge Asymmetries B 0 → πB 0 → K
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35 B 0 → π/ K (BaBar) : t distributions B+continuum background B-related background 2 (or more) from zero
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36 Direct CP violation in B 0 → (0,0)
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37 Comparison with predictions BaBar: A = -0.18 0.08 0.03 C = +0.36 0.15 0.04 C = +0.28 0.19 0.04 QCDF: A = -0.015 C = 0.019 C = 0.250 w/ Charming Penguin(CP): S = -0.015 C = 0.092 C = 0.228 Phys. Rev. D67,094019, 2003
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38 Prospect ( B 0 → π - ) L(fb ) A S
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39 Prospect ( B 0 → π ) L(fb -1 ) A C S
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40 Summary Measurement of CP asymmetries in B 0 → Still early to say conclusively for the difference. Measurement of CP asymmetries in B 0 → –Quasi-two-body analysis was performed by BaBar. –Hint of Direct CPV ? (0,0) 2 lines
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41 end
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