1. Review ADS+GLW P. Krokovny CKM 2006, Nagoya Experimental review of ADS and GLW methods Pavel Krokovny KEK Introduction Introduction Apparatus Apparatus Methods Methods Results Results Summary Summary

2. Review ADS+GLW P. Krokovny CKM 2006, Nagoya Unitarity triangle Using unitarity requirement: sin2φ 1 (β) is measured with a good accuracy at B-factories. Measurement of all the angles needed to test SM.

3. Review ADS+GLW P. Krokovny CKM 2006, Nagoya Relative phase: ( B –  DK – ), ( B +  DK + ) includes weak ( γ/φ 3 ) and strong ( δ ) phase. B +  D 0 K + decay If D 0 and D 0 decay into the same final state, Need to use the decay where V ub contribution interferes with another weak vertex. B –  D 0 K – : Amplitude ratio:

4. Review ADS+GLW P. Krokovny CKM 2006, Nagoya Gronau-London-Wyler Gronau-London-Wyler method СР eigenstate of D -meson is used ( D CP ). CP-even : D 1  K + K –, π + π – CP-odd : D 2  K S π 0, K S ω, K S φ, K S η … for D 1 for D 2 Additional constraint: СР-asymmetry:  A 1,2 of different signs 4 equations (3 independent: ), 3 unknowns [Phys. Lett. B 253 (1991) 483] [Phys. Lett. B 265 (1991) 172]

5. Review ADS+GLW P. Krokovny CKM 2006, Nagoya GLW method (Belle)

6. Review ADS+GLW P. Krokovny CKM 2006, Nagoya GLW method (Belle) Belle results (253 fb -1 ) hep-ex/0601032 BD1KBD1K 1.13 ±0.16±0.05 0.06±0.14±0.05 BD2KBD2K 1.17±0.14±0.14-0.12±0.14±0.05 BD*1KBD*1K 1.41±0.25±0.06-0.20±0.22±0.04 BD*2KBD*2K 1.15±0.31±0.12 0.13±0.30±0.08 B ±  DK ± decay: B ±  D*K ±, D*  Dπ 0 decay: B +  D 1 K + B -  D 1 K - B +  D 2 K + B -  D 2 K - GLW analyses alone do not constrain γ/φ 3 significantly yet, but can be combined with other measurements and provide information on r B

7. Review ADS+GLW P. Krokovny CKM 2006, Nagoya GLW method (BaBar) BaBar results (211 fb -1 ) Phys.Rev. D73, 051105, Phys.Rev. D72, 071103 B  D CP+ K 0.90±0.12±0.04 0.35±0.13±0.04 B  D CP- K 0.86±0.10±0.05-0.06±0.13±0.03 B  D CP+ K* 1.96±0.40±0.11-0.08±0.19±0.08 B  D CP- K* 0.65±0.26±0.08-0.26±0.40±0.12 B ±  DK ± decay: B ±  DK* ±, K* ±  K S π ± decay: r B 2 =-0.12±0.08(stat)±0.03(syst) r B 2 =0.30±0.25

8. Review ADS+GLW P. Krokovny CKM 2006, Nagoya Atwood-Dunietz-Soni method D. Atwood, I. Dunietz and A. Soni, PRL 78, 3357 (1997); PRD 63, 036005 (2001) Enhancement of СР-violation due to use of Cabibbo-suppressed D decays B –  D 0 K – - color allowed D 0  K + π – - doubly Cabibbo-suppressed B –  D 0 K – - color suppressed D 0  K + π – - Cabibbo-allowed Interfering amplitudes are comparable 

9. Review ADS+GLW P. Krokovny CKM 2006, Nagoya ADS method (Belle) B + -> D 0 [K +  - ]  + B + -> D 0 [K -  + ]  + Peaking background from B + -> K +      decay. Using D sidebands to subtract it. After subtraction the signal yield is events

10. Review ADS+GLW P. Krokovny CKM 2006, Nagoya ADS method (Belle) Belle results (357 fb -1 ) hep-ex/0508048 Suppressed channel not visible yet: Using r D =0.060±0.003, for maximum mixing ( φ 3 =0, δ=180° ): r B <0.18 (90% CL)

11. Review ADS+GLW P. Krokovny CKM 2006, Nagoya B → D 0 K B → D *0 K (D *0 → D 0  0 ) B → D *0 K(D *0 → D 0  ) PRD 72 (2005) 071104 ADS method (BaBar) Suppressed channel not visible r B <0.23 (90% CL) for B  DK r B <0.16 for B  D*K Bondar & Gershon PRD70,091503(2004)

12. Review ADS+GLW P. Krokovny CKM 2006, Nagoya D 0 K* + D 0 K 48 o <  <73 o For maximum mixing (  /φ 3 =0, δ=180°): r B <0.23 @ 90% C.L. 1-CL GLW ADS combination 11 22 33 rBrB  [0,  ] & (  D +  B )  [0,2  ] rB=rB= DK*, GLW+ADS Constraints on r B (BaBar)

13. Review ADS+GLW P. Krokovny CKM 2006, Nagoya ADS method (BaBar) B->D[K +  -  0 ] K hep-ex/0607065 (ICHEP 06)

14. Review ADS+GLW P. Krokovny CKM 2006, Nagoya ADS method (BaBar) B->D[K +  -  0 ] K hep-ex/0607065 (ICHEP 06) r DK <0.039 (95% CL) r B <0.185 (95% CL)

15. Review ADS+GLW P. Krokovny CKM 2006, NagoyaSummary The statistics is not enough for measure the φ 3 /  using ADS and GLW methods The statistics is not enough for measure the φ 3 /  using ADS and GLW methods However these approaches can provide constrain for r B and can be used combined with Dalitz analysis method However these approaches can provide constrain for r B and can be used combined with Dalitz analysis method There are perspectives for improving the result with larger data set There are perspectives for improving the result with larger data set