1. Pavel Krokovny, KEK Measurement of      1 Measurements of  3  Introduction Search for B +  D (*)0 CP K +  3 and r B from B +  D 0 K + Dalitz analysis r B from B +  D 0 ADS (  K -  + ) K + Pavel Krokovny KEK

2. Pavel Krokovny, KEK Measurement of      2 CKM phenomenology

3. Pavel Krokovny, KEK Measurement of      3 Measurement of  from Direct CPV The D 0 K and D 0 K amplitudes have a relative weak phase of  3 ( . Also necessary to measure Relative magnitude Strong phase difference δ B Interference between allowed D 0 K and suppressed D 0 K amplitudes. Time-independent! Larger r B  larger interference term  better constraints on  3 ( . *

4. Pavel Krokovny, KEK Measurement of      4 The Gronau-London-Wyler Method  B -  D 0 CP K (*)-, where D 0 CP is a CP-eigenstate decay (CP+: D 0  π + π -, K + K - CP-: D 0  K s h 0, h 0 =  0, ,  ‘,  )  We have the following observables:  4 observables (R CP+, R CP-,A CP+, A CP- )  determine 3 unknowns (r B,δ B,  ) Normalized to flavor state BF(B  DK) ~ 10 -4, BF(D  f CP ) ~ 10 -2 Small…  strongly statistics limited BF(B  DK) ~ 10 -4, BF(D  f CP ) ~ 10 -2 Small…  strongly statistics limited [Phys. Lett. B 253 (1991) 483] [Phys. Lett. B 265 (1991) 172]

5. Pavel Krokovny, KEK Measurement of      5 B  D CP K results

6. Pavel Krokovny, KEK Measurement of      6 B  D* CP K results

7. Pavel Krokovny, KEK Measurement of      7 B -  D 0 CP K (*)- yields D 0  background B + CP+ B - CP+ B - CP- B + CP- N BB =214 10 6 N BB =227 10 6 Adding K S , K S  D 0 CP K - CP+ (  +  -,K + K - ) CP- (K S  0 ) D 0 CP K* - (K* -  K S  - ) [hep-ex/0408069]

8. Pavel Krokovny, KEK Measurement of      8 G ronau -L ondon -W yler Method Results D 0 CP K - D 0 CP K* - (K* -  K S  - ) Additional systematic error on A CP - ( CP even background) More CP eigenstate final states still to be added… More statistics needed to constrain  Loose bound on r B From D CP K* D *0 (D 0 CP  0 )K - N BB =214 10 6 N BB =227 10 6 N BB =123 10 6 +0.15 ±0.12

9. Pavel Krokovny, KEK Measurement of      9 If both D 0 and D 0 decay into the same final state, B +  D 0 K + and B +  D 0 K + amplitudes interfere. Mixed state is produced: Phase θ is a sum of strong and weak phases: for B ±  D 0 K ± Use 3-body final state, identical for D 0 and D 0 : K s π + π - ( r, φ 3, δ ) can be obtained with simultaneous Dalitz plot fit of B + and B - data. B +  D 0 K + Dalitz analysis method Giri, Grossman, Sofer & Zupan [Phys. Rev. D 68 (2003) 054018] Bondar @ Belle workshop 2002 (unpublished)  =  ±  3

10. Pavel Krokovny, KEK Measurement of      10 D 0  K s π + π – decay model Sum of two-body amplitudes: Use continuum D 0 ‘s from D *+  D 0 π +, D 0  K s π + π – decay.

11. Pavel Krokovny, KEK Measurement of      11 D0KD0K 276 events 209±16 signal B +  D (*)0 K + signal D* 0 K 69 events 58±8 signal D0KD0K D* 0 [D 0  0 ]K D* 0 [D 0  ]K D 0 K *

12. Pavel Krokovny, KEK Measurement of      12 139 events 137 events B +  D 0 K + B -  D 0 K - Fit these D 0 Dalitz plots using unbinned maximum likelihood fit. D 0 decay model is fixed. Free parameters: ( r, φ 3, δ ) ~ B +  D 0 K + Dalitz plot

13. Pavel Krokovny, KEK Measurement of      13 B +  D 0 K + fit results r= 0.21 ± 0.08 ± 0.03(syst) ± 0.04(model), φ 3 =64 ± 19° ± 13°(syst) ± 11°(model), δ= 157 ± 19° ± 11°(syst) ± 21°(model) CP violation significance: 94% r=0.087 (< 0.19 90% CL), φ 3 = 70 ± 44° ± 10°(syst) ± 10°(model), δ= 114 ± 41° ± 8°(syst) ± 10°(model) +0.041 -0.074 [hep-ex/0411049] [hep-ex/0408088] rr 33

14. Pavel Krokovny, KEK Measurement of      14 B +  D (*)0 K + fit results r=0.155 ± 0.040 ± 0.020 φ 3 = 73 ± 35° ± 10°(syst) ± 10°(model), δ= 303 ± 34° ± 14°(syst) ± 10°(model) +0.070 -0.077 [hep-ex/0411049] [hep-ex/0408088] r=0.12 ± 0.02(syst) ± 0.04(model), φ 3 = 75 ± 57° ± 12°(syst) ± 11°(model), δ= 321 ± 57° ± 11°(syst) ± 21°(model) CP violation significance: 38% +0.16 -0.11 r r  3

15. Pavel Krokovny, KEK Measurement of      15 B +  D 0 K *+ fit results r = 0.25 ± 0.09(syst) ± 0.04(model) ± 0.08(nonres), φ 3 = 112 ± 35° ± 9°(syst) ± 11°(model) ± 8°(nonres), δ= 353 ± 35° ± 8°(syst) ± 21°(model) ± 49°(nonres) CP violation significance: 63% +0.17 -0.18 preliminary r

16. Pavel Krokovny, KEK Measurement of      16 r B dependence of  3 measurement Sensitivity to    crucially depends on r B = |A(B +  D 0 K + ) / A(B +  D 0 K + )| r= 0.21 ±0.08 ±0.03 ±0.04 (D 0 K) r=0.12 ±0.02±0.04 (D* 0 K) +0.16 -0.11 r B =0.155 +0.070 -0.077 r B =0.087 +0.041 -0.074  = (70±26±10±10)º φ 3 =68 ± 13° ± 11° +14° -15° Good agreement between Belle and BaBar results:

17. Pavel Krokovny, KEK Measurement of      17 The Atwood-Dunietz-Soni Method Count B candidates with opposite sign kaons D decay into flavor state Input: Phys.Rev.Lett.91:171801,2003 BB DD D decay strong phase  D is unknown [Phys. Rev. Lett. 78 (1997) 3257] Bondar & Gershon [hep-ph/ 0409281] Effective strong phase  D differs by  for D* decays to D   and D  Combining these two final states, the ratio R ADS (D   ) + R ADS (D  ) = 2(r B 2 + r D 2 ) does not depend on any phases. We can extract r B,    and  using only D*K.

18. Pavel Krokovny, KEK Measurement of      18 B -  D (*)0 ADS (  K + π - ) K - 8.5 +6.0 -5.3 -7.4 28.5 +8.1 R D  = 3.5 ± 0.2 +1.0 -0.9 R DK = 2.3 ± 0.1 +1.6 -1.4 [hep-ex/0412025] A DK = 0.88 ± 0.06 +0.77 -0.62 A D  = 0.30 ± 0.06 +0.29 -0.25 D0KD0K D *0 (D 0  0 )K D *0 (D 0  )K [hep-ex/0408028] DD DK First observation

19. Pavel Krokovny, KEK Measurement of      19 ADS Constraints on r B R ADS D0KD0K R ADS can be translated to r B < 0.27 (90% CL)

20. Pavel Krokovny, KEK Measurement of      20  First direct  3 (  measurement from B  DK Dalitz analysis:  3 = (68 ± 15 ± 13 syst ± 11 model ) o (Belle)  = (70 ± 26 ± 10 syst ± 10 model )º (BaBar) well agrees with CKM constraint  3 (  = 57 o ± 9 o This technique is theoretically clean, model uncertainty can be eliminated using CP tagged D mesons from c  factory. Sensitivity to  3 (  crucially depends on r B = |A(B +  D 0 K + )/A(B +  D 0 K + )| ADS method can be used for this measurement. Other methods (B  D CP K, B  [K  ] D  can be used to extract  3 (  with more data available.Summary

21. Pavel Krokovny, KEK Measurement of      21 Backup

22. Pavel Krokovny, KEK Measurement of      22 D (*)0 K (*)0 results Sensitivity given by Search for b  u transition (self tagging mode) Eventually TD analysis… N BB =124 10 6

23. Pavel Krokovny, KEK Measurement of      23 B(B 0  D 0 K 0 )= (3.72±0.65±0.37)x10 -5 B(B 0  D 0 K* 0 )= (3.08±0.56±0.31)x10 -5 B 0  D 0 K 0 & B 0  D 0 K* 0 decays The new results are consistent with published in PRL (based on 78 fb -1 )

24. Pavel Krokovny, KEK Measurement of      24 19.2 events 3.2 σ +6.4 -5.8 12.3 events 2.1 σ +7.5 -5.8 B =( 3.18 ±0.32) x10 -5 +1.25 -1.12 B < 4.8 x 10 -5 90% CL First evidence of B 0  D *0 K 0 & hint for B 0  D *0 K *0

25. Pavel Krokovny, KEK Measurement of      25 B 0  D 0 K *0 & B 0  D *0 K *0 upper limits (V ub suppressed) B < 1.9 x 10 -5 90% CLB < 0.4 x 10 -5 90% CL 3.3 events +7.5 -2.1 0.4 events +3.6 -3.1 r <0.39 D 0 K *0 (equvalent to r B but for neutral B)

26. Pavel Krokovny, KEK Measurement of      26 Model Uncertainty

27. Pavel Krokovny, KEK Measurement of      27 Systematic Uncertainty

28. Pavel Krokovny, KEK Measurement of      28 B +  D (*)0  + control sample r + = 0.039 ± 0.021  +_ = 240 ± 28° r - = 0.047 ± 0.018  - = 193 ± 24° Fit B and B samples separately. Float r ± e i   where  ± =  ±   Expected value r ~ 0.01-0.02 B +  D 0 K + :B +  D *0 K + : r + = 0.015 ± 0.042  +_ = 149 ± 186° r - = 0.086 ± 0.049  - = 280 ± 30°

29. Pavel Krokovny, KEK Measurement of      29 B +  D (*)0 K + combined fit results r= 0.21 ± 0.08 ± 0.03(syst) ± 0.04(model), φ 3 =64 ± 19° ± 13°(syst) ± 11°(model), δ= 157 ± 19° ± 11°(syst) ± 21°(model) CP violation significance: 94% Combined: φ 3 =68 ± 13°(syst) ± 11° (model), 95% CL interval: 22°<φ 3 <113° (incl. systematic error) CP violation significance: 98% +14° -15° B +  D 0 K + :B +  D *0 K + : r=0.12 ± 0.02(syst) ± 0.04(model), φ 3 = 75 ± 57° ± 12°(syst) ± 11°(model), δ= 321 ± 57° ± 11°(syst) ± 21°(model) CP violation significance: 38% +0.16 -0.11 250 fb -1 [hep-ex/0411049]

30. Pavel Krokovny, KEK Measurement of      30 Fit results D0K-D0K- 68% 95%  D* 0 K - rBrB  = (70±26±10±10)º    (114 ± 41 ± 8 ± 10) º r B <0.19 (90% CL) [hep-ex/0408088] rBrB r B =0.155 +0.070 -0.077 r B =0.087 +0.041 -0.074  = (70±44)º    (114 ± 41) º  = (73±35)º    (303 ± 34) º Combined:

31. Pavel Krokovny, KEK Measurement of      31 B +  D 0 K + fit results r= 0.21 ± 0.08 ± 0.03(syst) ± 0.04(model), φ 3 = 64 ± 19°± 13°(syst) ± 11°(model), δ= 157 ± 19°± 11°(syst) ±2 1°(model) CP violation significance: 94% Errors using toy MC experiments and frequentist approach (φ 3, δ) and (φ 3 +π, δ+π) ambiguity 250 fb -1 [hep-ex/0411049]

32. Pavel Krokovny, KEK Measurement of      32 B +  D *0 K + fit results r = 0.12 ± 0.02(syst) ± 0.04(model), φ 3 = 75 ± 57° ± 12°(syst) ± 11°(model), δ= 321 ± 57° ± 11°(syst) ± 21°(model) CP violation significance: 38% +0.16 -0.11 250 fb -1 (φ 3, δ) and (φ 3 +π, δ+π) ambiguity [hep-ex/0411049]

33. Pavel Krokovny, KEK Measurement of      33 G ronau -L ondon -W yler Method Results B +  D *0 2 K + statistical significance 4.5 σ B +  D 1 *0 K + statistical significance 5.6 σ Acp=-0.27±0.25 ±0.04 Acp=0.26±0.26±0.03 Acp=0.07±0.14±0.06 Acp=-0.11±0.14 ±0.05 250 fb -1

34. Pavel Krokovny, KEK Measurement of      34 Results from B -  [K + - ] D h - Results from B -  [K +  - ] D h - [hep-ex/0412025]

35. Pavel Krokovny, KEK Measurement of      35 B -  D (*)0 ADS (  K + π - ) K - Yields from ΔE fits 8.5 376 ± 22 +6.0 -5.3 -7.4 28.5 8182 ± 94 +8.1 R D  = 3.5 ± 0.2 +1.0 -0.9 R DK = 2.3 ± 0.1 +1.6 -1.4 [hep-ex/0412025] A DK = 0.88 ± 0.06 +0.77 -0.62 A D  = 0.30 ± 0.06 +0.29 -0.25