1. Y. Horii (Nagoya) and K. Trabelsi (KEK)
BD(*)K GLW, ADS
Y. Horii (Nagoya) and K. Trabelsi (KEK)
Referees: Z. Dolezal, N. Muramatsu, K. Sakai
Thanks to very active refereeing!

2. ϕ3 from BD(*)K decays _
Tree-level ϕ3 determination from interference of BDK and BDK amplitudes.
Need D and D to decay to common final state.
Relative magnitude of suppressed amplitude is rB ~ 0.1.
Relative weak phase is ϕ3, and relative strong phase is δB. _
ϕ3 ~ −arg(Vub)
Color-suppressed
Color-allowed

4. Definitions of A and R given in BN1201.
rD and δD: well known.

5. BN1201 (presented at LP11, this talk)
BN1201 (will be analyzed later)
Y. Horii, K. Trabelsi et al., PRL (2011)
BN1201 (presented at LP11, this talk)
rD and δD: well known.

6. Key Points of the Method
Continuum suppression
9 variables: LR(KSFW), Δz, cosθKD, cosθB, |qr|, cosθT, dDK, QBQK, and ΔQ. (For details, see BN1201.)
Transformed: NBNB’.
2-D fit for ΔE and NB’.
No significant signal loss due to tight cut on NB’.
Simultaneous fit for Dπ/DK.
Better understanding of Dπ/DK feed across.
qq MC
Signal MC

7. 1. Result for BDK GLW

8. Dπ (KID < 0. 6) / Dπ (KID > 0. 6) = (7. 65 ± 0
Dπ (KID < 0.6) / Dπ (KID > 0.6) = (7.65 ± 0.14)%, consistent w/ (7.94 ± 0.31)% in MC x Calib.

9. CP+

10. CP−

12. Comparison of the Results
Since GGSZ observables are related to the same parameters (ϕ3, rB, δB), we obtain predictions on RCP± and ACP± from the GGSZ observables.
Our results are consistent with GGSZ predictions.
−0.2
−0.4
0.4
0.2
−0.2
−0.4
0.4
0.2
Belle, GLW
WA, GLW
ACP+
WA, GGSZ
ACP−
WA, GLW
WA, GGSZ
Belle, GLW
1.0
1.1
1.2
1.3
0.7
0.8
0.9
1.0
1.1
1.2
1.3
0.7
0.8
0.9
RCP+
RCP−
WA taken from HFAG 2011 summer.

13. 2. Result for BD*K ADS

14. First Evidence for BD*K ADS Mode
Signal
D*π BB
DK/Dπ
continuum
continuum
Signal
D*π BB
DK/Dπ
Signal seen with 3.5σ significance for D*Dγ mode.
Ratio to favored mode:
Difference between RDπ0 and RDγ: indication of the effect of the interference term 2rB*rD cos (δB*+δD) cos ϕ3 (opposite sign for RDπ0 and RDγ).

15. Asymmetries for BD*K ADS Mode
Asymmetry:
Indication of opposite sign for ADπ0 and ADγ: consistent with expectation. (Opposite strong phase between D*Dπ0 and D*Dγ.)
Combining RDπ0, RDγ, ADπ0, and ADγ: indication of negative cos(δB*+δD)cosϕ3 and positive sin(δB*+δD)sinϕ3. Consistent with BD(*)K Dalitz result.

16. Comparison of the Results
Since GGSZ observables are related to the same parameters (ϕ3, rB, δB), we obtain predictions on RADS and AADS from the GGSZ observables.
Our results are consistent with GGSZ predictions.
−0.5 −1 1
0.5
−0.5 −1 1
0.5
WA, ADS
WA, GGSZ
AADS,Dπ0
AADS,Dγ
WA, ADS
WA, GGSZ
Belle, ADS (Error of AADS,Dπ0 is larger, because of smaller RADS,Dπ0.)
Belle, ADS
0.03
0.04
0.05
0.06
0.01
0.02
0.03
0.04
0.05
0.06
0.01
0.02
RADS,Dπ0
RADS,Dγ
WA taken from HFAG 2011 summer.

17. 3. Extraction of ϕ3

18. Global fit for ϕ3 Global ϕ3 fit using CKMfitter.
Includes all BD(*)K observables over the experiments.
Recent activities certainly improve the precision.
Now the precision is 10°! Significant contribution from Belle.
New results for BDK ADS added.
Belle (PRL), CDF (PLHC11), and LHCb (EPS11).
New results by Belle for
BD*K ADS (LP11) and BDK GLW (LP11).

19. Summary and Plan BDK GLW BD*K ADS Extraction of ϕ3
Large asymmetry (~30%) for DCP+.
Opposite signs for the asymmetries for CP+ and CP−.
BD*K ADS
First evidence (3.5σ) for D*Dγ.
Difference between D*Dγ and Dπ0: information of ϕ3.
Extraction of ϕ3
Value obtained by CKMfitter is (68±10)°.
Significant contribution from recent results of Belle.
Will add DKSη(3π), KSω, and KSη’ in BDK GLW analysis, analyze BD*K GLW, and prepare paper draft.

20. Backup slides

21. Check for BD*π ADS: Validity of the Method
D*K BB
DK/Dπ
continuum
D*π
continuum
D*K BB
DK/Dπ
D*π

22. ϕ3 from BDK, DCP eigenstates (GLW)
New from Belle, full data (772M BB)
B-DCP+K-
B+DCP+K+
B-DCP-K-
B+DCP-K+
CP violation clearly established.

23. ϕ3 from BDK, Dsuppressed states (ADS)
Y. Horii et al. (Belle), published in PRL 106, in June 2011
First evidence (4.1σ) obtained. Indication of negative asymmetry.
LHCb also reported the evidence. Promising method for ϕ3 determination.

24. ϕ3 from BD*K, Dsuppressed states (ADS)
New from Belle, full data (772M BB)
3.5σ
Suppressed mode also appearing in BD*K, D*Dγ mode.