Measurements of gf 3 Denis Derkach Laboratoire de
Measurements of g/f 3 Denis Derkach Laboratoire de l’Accélérateur Linéaire – ORSAY CNRS/IN 2 P 3 FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3
CKM angle g/f 3 Wolfenstein parameterization l~0. 22 A~0. 8 r~0. 16 h~0. 34 FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 2
Motivation and importance of measuring g g is still the less precisely known UT angle. Its determination is important also because (together with V ub contraint) it selects r-h value valid in most of the NP extensions Experiments providing most of analyses today 3. 1 Ge. V e + 9 Ge. V e – 468 M BB pairs 3. 5 Ge. V e + 8 Ge. V e – 657 M BB pairs Experiments that can also give results in near future Planned facilities FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 3
g measurements from B→D(*)K(*) s Vus b→c B+ b * Vcb u c u b K+ * Vcb B+ D 0 s Vus u u D 0 K+ relative phase g u 0 c. D b b→u * Vub B+ Vcs u u V* B+ K+ ub Vcs s u b K+ Advantages: • Only tree decays. • Largely unaffected by the New Physics scenarios • Clear theoretical interpretation Disadvantages: • Rare decays and low r. B u c D 0 Related variables (depend on the B meson decay channel): For charged B mesons For neutral B mesons d. B strong phase (CP conserving) FPCP-2010 Turin, 25 th May, 2010 Experimentally not easy to measure. Three ways to extract the information: • GLW • ADS • Dalitz D. Derkach, Measurements of γ/φ3 4
g measurements from B→D(*)K (*) c u b b→c (Vcb, real) Vcb B 0 Vus d D 0 s K* 0 d relative phase g u c b b→u (Vub, = |Vub| e-ig) Vub B 0 Vcs s d d D 0 Advantages: • Only tree decays. • Largely unaffected by the New Physics scenarios • Clear theoretical interpretation Disadvantages: • Rare decays and low r. B K* 0 Related variables (depending on the B meson decay channel): For charged B mesons For neutral B mesons d. B strong phase (CP conserving) FPCP-2010 Turin, 25 th May, 2010 Experimentally not easy to measure. Three ways to extract the information: • GLW • ADS • Dalitz D. Derkach, Measurements of γ/φ3 5
Results from B+→D 0 K + GGSZ, ar. Xiv: 1003. 3360* ADS, D 0 K, D 0→Kp, PRD 78, 071901 GLW, PRD 73, 051106 GGSZ, ar. Xiv: 1005. 1096* ADS, D 0 p D 0→Kp, preliminary ADS, DK, D 0→Kp, preliminary* GLW, PRD 77, 111102 ADS, DK, D 0→Kpp 0, PRD 76 111101 FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 6
Results from B+→D*0 K +, D*0→ D 0 p 0 (D 0 g) GGSZ, ar. Xiv: 1003. 3360 GGSZ, ar. Xiv: 1005. 1096 GLW, PRD 73, 051106 ADS, D 0 p D 0→Kp, preliminary ADS, DK, D 0→Kp. preliminary GLW, PRD 73, 051106 FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 7
Results from B+→D 0 K *+ GGSZ, PRD 73, 112009 GGSZ, ar. Xiv: 1005. 1096 ADS, DK, D 0→Kp, PRD 80, 092001 GLW, PRD 80, 092001 FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 8
g measurements from B→DK (GGSZ) Dalitz Method Modes: K s p+ p. K s K +K - A. Giri, Yu. Grossman, A. Soffer, J. Zupan, PRD 68, 054018 (2003) p+ p- p 0 ADS Method Modes: K +p-, K +p-p 0, K +p-p+p- GLW Method Advantages: • large interferences in some Dalitz regions D 0 Modes: CP+ CP- • strong phases varying over the Dalitz plane FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 9
g measurements from B→DK (Ba. Bar) Dalitz Method Ba. Bar 425 fb-1 (468 MBB) Ba. Bar only! ADS Method Modes: K +p-, K +p-p 0, K +p-p+p- B- B+ Signal is separated from background using m ES, Fisher ( on event shape variables), DE, (s−, s+). GLW Method Resonance structure provides an important D 0 Modes: information on the phases CP+ CPar. Xiv: 1005. 1096 FPCP-2010 Turin, 25 th May, 2010 The reconstruction efficienciy is 22% Fit for yields and CP violating parameters D. Derkach, Measurements of γ/φ3 10
g measurements from B→DK (Belle) Signal events yield Dalitz Method Belle 605 fb-1 (657 MBB) B±→DK ± (Kspp) 657 MBB (Kspp) 468 MBB (Ks. KK) 468 MBB 757 ± 30 920 ± 35 142 ± 14 ADS Method Modes: K +p-, K +p-p 0, K +p-p+p- B- B+ g d. B GLW Method g Resonance structure provides an important D 0 Modes: information on the phases CP+ CPar. Xiv: 1003. 3360 FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 11
g measurements from B→DK Dalitz Method Not an easy task to average the results, the model errors are not easy to be combined Main differences in D 0→K sπ+π-: – Ba. Bar: K-matrix formalism for ππ S-wave, LASS model for Kπ S-wave. – Belle: Includes σ1 and σ2 ππ scalar resonances. K*0(1430) for Kπ Swave. See Nicola Neri’s talk! Ba. Bar result now also includes D 0→K s. K +K - FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 12
Final Dalitz interpretation Ba. Bar obtains γ = (68 +15 − 14 ± 3)° (from DK−, D*K−, DK*−) Belle obtains φ3 = (78 +11 − 12 ± 4 ± 9)° (from DK− & D*K−) D. Derkach, Measurements of γ/φ3 13
g measurements from B→DK (ADS) Dalitz Method Modes: K s p+ p. K s K +K - p+ p- p 0 ADS Method D 0 Modes: K +p-, K +p-p 0, K +p-p+p- D. Atwood, I. Dunietz and A. Soni, PRL 78, 3357 (1997). Interplay between Doubly-Cabibbo-Suppressed and Cabibbo allowed D meson decay V cb B+ →D 0 K+ DCS D 0 →f Same final state + B 0 →f + 0 + D Vu B →D K b CA Branching fraction of processes is quite low (~10 -7) Parameters: {g ; r B ; d B } External Inputs: {r. D; d. D; k D} FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 (CLEO-C, see talk by Chris Thomas) 14
g measurements from B→DK (Ba. Bar) Dalitz Method Modes: K s p+ p. K s K +K - Two decay chains: Same sign Opposite sign p+ p- p 0 Simultaneous fit to m. ES and NN (based on Event shape variables Tagging variables) for both decay chains. ADS Method Ba. Bar 425 fb-1 (468 MBB) FPCP-2010 Turin, 25 th May, 2010 26. 3 opposite sign events fitted Fitting directly RADS and R+, R- to reconstruct asymmetry. D. Derkach, Measurements of γ/φ3 15
g measurements from B→DK (results) Dalitz Method Modes: K s p+ p. K s K +K - p+ p- p 0 ADS Method FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 16
g measurements from B→DK (GLW) Dalitz Method Modes: K s p+ p. K s K +K - p+ p- p 0 M. Gronau, D. London, D. Wyler, PLB 253, 483 (1991); PLB 265, 172 (1991) Theoretically very clean to determine γ (with four observable) Many D 0 Modes reconstructed: ADS Method Modes: K +p-, K +p-p 0, K +p-p+p- CDF also gave the results with this type of analysis GLW Method Coombination of Acp+ measurements gives > 3 s difference from no CPV case D 0 Modes: CP+ CPFPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 17
Combination of the methods The combination of all the methods can be performed giving D. Derkach, Measurements of γ/φ3 18
Results from B 0→D 0 K *0 ADS, 476 M BB, DK, D 0→Kpp 0 , D 0→Kppp GGSZ, 371 M BB Promising channel at future experiments for measuring g due to large value of r. B. More statistics needed D sector measurements play an important role. FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 19
Conclusions Combining all B-factory results, there is a strong evidence of CP violation in B→D 0(*)K (*) Many analyses contribute. Big contributors are DK decay modes using Dalitz method. The combination of all the method gives (Bayesian approach) (Frequentist approach) Well compatible with the prediction from SM (Bayesian approach) (Frequentist approach) Need to reduce the error in order to see possible deviations: FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 20
Current Setups 3. 1 Ge. V e + & 9 Ge. V e – beams L = 1. 2 x 1034 cm– 2 s– 1 ∫ L dt = 428 fb– 1 @ Υ(4 S)+off (~10%) 3. 5 Ge. V e + & 8 Ge. V e – beams L = 1. 7 x 1034 cm– 2 s– 1 ∫Ldt = 820 fb– 1 @ Υ(4 S)+off(~10%) FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 21
X+ Y+ Y- GGSZ X- Results from B+→D 0 K + ADS Kp Kp Kpp 0 FPCP-2010 Turin, 25 th May, 2010 A CP+ A CP– RCP+ GLW D. Derkach, Measurements of γ/φ3 22
X+ Y+ Y- Dalitz X- Results from B+→D*0 K +, D*0→ D 0 p 0 (D 0 g) ADS D*→Dg FPCP-2010 Turin, 25 th May, 2010 A CP– RCP– GLW A CP+ D*→Dp 0 RCP+ D*→Dp 0 D. Derkach, Measurements of γ/φ3 23
X+ Y+ Y- GGSZ X- Results from B+→D 0 K *+ ADS Kp Kp GLW RCP+ A CP+ RCP– A CP– FPCP-2010 Turin, 25 th May, 2010 D. Derkach, Measurements of γ/φ3 24
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