Measurements of g/f 3

1. Measurements ofg/f3 Laboratoire de l’Accélérateur Linéaire – ORSAY CNRS/IN2P3 Denis Derkach FPCP-2010 Turin, 25th May, 2010

2. FPCP-2010 Turin, 25th May, 2010 CKM angle g/f3 Wolfenstein parameterization l~0.22 A~0.8 r~0.16 h~0.34 D. Derkach, Measurements of γ/φ3

3. FPCP-2010 Turin, 25th May, 2010 Motivation and importance of measuringg Experiments providing most of analyses today gis still the less precisely known UT angle. Its determination is important also because (together with Vub contraint) it selects r-h value valid in most of the NP extensions 3.5 GeV e+ 8 GeV e– 657M BB pairs 3.1 GeV e+ 9 GeV e– 468M BB pairs Experiments that can also give results in near future Planned facilities D. Derkach, Measurements of γ/φ3

4. FPCP-2010 Turin, 25th May, 2010 g measurements from B→D(*)K(*) • Advantages: • Only tree decays. • Largely unaffected by the New Physics scenarios • Clear theoretical interpretation s c b D0 Vus K+ Vcb u * u Vcb B+ b→c * b c s Vus B+ D0 K+ u u u u relative phase g • Disadvantages: • Rare decays and low rB u u s b K+ D0 u Vub c * Vub Vcs * B+ B+ b→u u s Vcs b D0 K+ c u u Related variables (depend on the B meson decay channel): • Experimentally not easy to measure. • Three ways to extract the information: • GLW • ADS • Dalitz For charged B mesons For neutral B mesons dB strong phase (CP conserving) D. Derkach, Measurements of γ/φ3

5. FPCP-2010 Turin, 25th May, 2010 g measurements from B→D(*)K(*) • Advantages: • Only tree decays. • Largely unaffected by the New Physics scenarios • Clear theoretical interpretation c b D0 Vcb u B0 b→c (Vcb, real) s Vus K*0 d d relative phase g • Disadvantages: • Rare decays and low rB u b D0 Vub c B0 b→u (Vub, = |Vub|e-ig) s Vcs K*0 d d Related variables (depending on the B meson decay channel): • Experimentally not easy to measure. • Three ways to extract the information: • GLW • ADS • Dalitz For charged B mesons For neutral B mesons dB strong phase (CP conserving) D. Derkach, Measurements of γ/φ3

6. FPCP-2010 Turin, 25th May, 2010 Results from B+→D0K+ GGSZ, arXiv:1003.3360* ADS, D0K, D0→Kp, PRD 78, 071901 GLW, PRD 73, 051106 GGSZ, arXiv: 1005.1096* ADS, D0pD0→Kp, preliminary ADS, DK, D0→Kp, preliminary* GLW, PRD 77, 111102 ADS, DK, D0→Kpp0, PRD 76 111101 D. Derkach, Measurements of γ/φ3

7. FPCP-2010 Turin, 25th May, 2010 Results from B+→D*0K+, D*0→ D0p0 (D0g) GGSZ, arXiv:1003.3360 GGSZ, arXiv:1005.1096 GLW, PRD 73, 051106 ADS, D0pD0→Kp, preliminary ADS, DK, D0→Kp. preliminary GLW, PRD 73, 051106 D. Derkach, Measurements of γ/φ3

8. FPCP-2010 Turin, 25th May, 2010 Results from B+→D0K*+ GGSZ, PRD 73, 112009 GGSZ, arXiv:1005.1096 ADS, DK, D0→Kp, PRD 80, 092001 GLW, PRD 80, 092001 D. Derkach, Measurements of γ/φ3

9. FPCP-2010 Turin, 25th May, 2010 gmeasurements from B→DK (GGSZ) A. Giri, Yu. Grossman, A. Soffer, J. Zupan, PRD 68, 054018 (2003) Dalitz Method Modes: Ksp+p- KsK+K- p+p-p0 ADS Method Modes: K+p-, K+p-p0, K+p-p+p- GLW Method • Advantages: • large interferences in some Dalitz regions • strong phases varying over the Dalitz plane D0 Modes: CP+ CP- D. Derkach, Measurements of γ/φ3

10. FPCP-2010 Turin, 25th May, 2010 gmeasurements from B→DK (BaBar) Dalitz Method BaBar only! BaBar 425 fb-1 (468 MBB) Signal is separated from background using mES, Fisher (on event shape variables), DE, (s−, s+). ADS Method B+ B- Modes: K+p-, K+p-p0, K+p-p+p- GLW Method Resonance structure provides an important information on the phases D0 Modes: CP+ CP- The reconstruction efficienciy is 22% Fit for yields and CP violating parameters arXiv:1005.1096 D. Derkach, Measurements of γ/φ3

11. FPCP-2010 Turin, 25th May, 2010 gmeasurements from B→DK (Belle) Signal events yield Dalitz Method Belle 605 fb-1 (657 MBB) ADS Method B+ B- Modes: K+p-, K+p-p0, K+p-p+p- g dB GLW Method g Resonance structure provides an important information on the phases D0 Modes: CP+ CP- arXiv:1003.3360 D. Derkach, Measurements of γ/φ3

12. FPCP-2010 Turin, 25th May, 2010 gmeasurements 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 D0→Ksπ+π-: – BaBar: K-matrix formalism for ππ S-wave, LASS model for Kπ S-wave. – Belle: Includes σ1and σ2ππ scalar resonances. K*0(1430) for Kπ Swave. See Nicola Neri’s talk! BaBar result now also includes D0→KsK+K- D. Derkach, Measurements of γ/φ3

13. Final Dalitz interpretation Belle obtains φ3 = (78 +11−12 ± 4 ± 9)°(from DK− & D*K−) BaBar obtains γ = (68 +15−14 ± 4 ± 3)°(from DK−, D*K−, DK*−) D. Derkach, Measurements of γ/φ3

14. Vcb DCS B+ →D0K+ D0 →f Same final state B+ D0 →f B+→D0K+ Vub CA FPCP-2010 Turin, 25th May, 2010 gmeasurements from B→DK (ADS) Dalitz Method Modes: Ksp+p- KsK+K- p+p-p0 D. Atwood, I. Dunietz and A. Soni, PRL 78, 3357 (1997). Interplay between Doubly-Cabibbo-Suppressed and Cabibbo allowed D meson decay Branching fraction of processes is quite low (~10 -7) ADS Method D0 Modes: K+p-, K+p-p0, K+p-p+p- Parameters: {g; rB; dB} External Inputs: {rD; dD; kD} (CLEO-C, see talk by Chris Thomas) D. Derkach, Measurements of γ/φ3

15. FPCP-2010 Turin, 25th May, 2010 gmeasurements from B→DK (BaBar) Dalitz Method Modes: Ksp+p- KsK+K- p+p-p0 Two decay chains: Same sign Opposite sign Simultaneous fit to mES and NN (based on Event shape variables Tagging variables) for both decay chains. ADS Method BaBar 425 fb-1 (468 MBB) Fitting directly RADS and R+, R- to reconstruct asymmetry. 26.3 opposite sign events fitted D. Derkach, Measurements of γ/φ3

16. FPCP-2010 Turin, 25th May, 2010 gmeasurements from B→DK (results) Dalitz Method Modes: Ksp+p- KsK+K- p+p-p0 ADS Method D. Derkach, Measurements of γ/φ3

17. FPCP-2010 Turin, 25th May, 2010 gmeasurements from B→DK (GLW) Dalitz Method Modes: Ksp+p- KsK+K- p+p-p0 M. Gronau, D. London, D. Wyler, PLB253,483 (1991); PLB 265, 172 (1991) Theoretically very clean to determine γ (with four observable) Many D0 Modes reconstructed: ADS Method Modes: K+p-, K+p-p0, K+p-p+p- CDF also gave the results with this type of analysis GLW Method Coombination of Acp+ measurements gives > 3s difference from no CPV case D0 Modes: CP+ CP- D. Derkach, Measurements of γ/φ3

18. Combination of the methods The combination of all the methods can be performed giving D. Derkach, Measurements of γ/φ3

19. FPCP-2010 Turin, 25th May, 2010 Results from B0→D0K*0 ADS, 476M BB, DK, D0→Kp , D0→Kpp0, D0→Kppp GGSZ, 371M BB Promising channel at future experiments for measuring g due to large value of rB. More statistics needed D sector measurements play an important role. D. Derkach, Measurements of γ/φ3

20. FPCP-2010 Turin, 25th May, 2010 Conclusions Combining all B-factory results, there is a strong evidence of CP violation in B→D0(*)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: (Bayesian approach) D. Derkach, Measurements of γ/φ3

21. FPCP-2010 Turin, 25th May, 2010 Current Setups 3.1 GeV e+ & 9 GeV e– beams L = 1.2 x 1034 cm–2s–1 ∫ L dt = 428 fb–1 @ Υ(4S)+off (~10%) 3.5 GeV e+ & 8 GeV e– beams L = 1.7 x 1034 cm–2s–1 ∫Ldt = 820 fb–1 @ Υ(4S)+off(~10%) D. Derkach, Measurements of γ/φ3

22. FPCP-2010 Turin, 25th May, 2010 Results from B+→D0K+ GGSZ X+ Y+ X- Y- ADS Kp Kp Kpp0 GLW RCP+ ACP+ RCP– ACP– D. Derkach, Measurements of γ/φ3

23. FPCP-2010 Turin, 25th May, 2010 Results from B+→D*0K+, D*0→ D0p0 (D0g) Dalitz X+ Y+ X- Y- ADS D*→Dp0 D*→Dp0 D*→Dg D*→Dg GLW RCP+ ACP+ RCP– ACP– D. Derkach, Measurements of γ/φ3

24. FPCP-2010 Turin, 25th May, 2010 Results from B+→D0K*+ GGSZ X+ Y+ X- Y- ADS Kp Kp GLW ACP+ RCP+ ACP– RCP– D. Derkach, Measurements of γ/φ3