1

BD(*)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 BD(*)K decays

Tree-level ϕ3 determination from interference of BDK and BDK 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

3

4rD and δD: well known.

Definitions of A and R given in BN1201.

5

BN1201 (presented at LP11, this talk)

BN1201 (presented at LP11, this talk)

Y. Horii, K. Trabelsi et al., PRL (2011)

BN1201 (will be analyzed later)

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: NBNB’.

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.

Signal MCqq MC

7

1. Result for BDK GLW

8

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−

11

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.

WA, GGSZ

Belle, GLW

WA, GLW

WA taken from HFAG 2011 summer.

Belle, GLW

WA, GLW

WA, GGSZ

ACP+ ACP−

1.0 1.1 1.2 1.30.7 0.8 0.9 1.0 1.1 1.2 1.30.7 0.8 0.9

0

−0.2

−0.4

0.4

0.2

0

−0.2

−0.4

0.4

0.2

RCP+ RCP−

13

2. Result for BD*K ADS

14

First Evidence for BD*K ADS Mode

Signal seen with 3.5σsignificance 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).

continuumSignal

D*π

BBDK/Dπ

SignalD*π

BBDK/Dπ

continuum

15

Asymmetries for BD*K ADS Mode

Asymmetry:

Indication of opposite signfor ADπ0 and ADγ:consistent with expectation.(Opposite strong phasebetween 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 BD(*)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.

WA, GGSZ

Belle, ADS(Error of AADS,Dπ0 is larger,because of smaller RADS,Dπ0.)

WA, ADS

WA taken from HFAG 2011 summer.

Belle, ADS

WA, ADSWA, GGSZAADS,Dπ0 AADS,Dγ

0.03 0.04 0.05 0.060 0.01 0.02 0.03 0.04 0.05 0.060 0.01 0.02

0

−0.5

−1

1

0.5

0

−0.5

−1

1

0.5

RADS,Dπ0 RADS,Dγ

17

3. Extraction of ϕ3

18

Global fit for ϕ3

Global ϕ3 fit using CKMfitter.

– Includes all BD(*)K observables over the experiments. Recent activities certainly improve the precision.

Now the precision is 10°! Significant contribution from Belle.

New results for BDK ADS added.Belle (PRL), CDF (PLHC11), and LHCb (EPS11).

New results by Belle forBD*K ADS (LP11) and BDK GLW (LP11).

19

Summary and Plan

BDK GLW– Large asymmetry (~30%) for DCP+.

– Opposite signs for the asymmetries for CP+ and CP−. BD*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 DKSη(3π), KSω, and KSη’ in BDK GLW analysis, analyze BD*K GLW, and prepare paper draft.

20

Backup slides

21

Check for BD*π ADS: Validity of the Method

continuum

D*K

BBDK/Dπ

D*π

D*K

BBDK/Dπ

continuumD*π

22

ϕ3 from BDK, DCP eigenstates (GLW)

B-DCP+K-

CP violation clearly established.

New from Belle, full data (772M BB)

B+DCP+K+ B-DCP-K- B+DCP-K+

23

ϕ3 from BDK, Dsuppressed states (ADS)

LHCb also reported the evidence. Promising method for ϕ3 determination.

Y. Horii et al. (Belle),published in PRL 106, 231803 in June 2011

First evidence (4.1σ) obtained.Indication of negative asymmetry.

24

ϕ3 from BD*K, Dsuppressed states (ADS)

Suppressed mode alsoappearing in BD*K, D*Dγ mode.

New from Belle,full data (772M BB)

3.5σ

25

26