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B  D ( * ) K GLW, ADS. Y. Horii (Nagoya) and K. Trabelsi (KEK). Referees: Z. Dolezal , N. Muramatsu , K. Sakai. Thanks to very active refereeing!. ϕ 3 from B  D (*) K decays. _. Tree-level ϕ 3 determination from interference of B  DK and B  DK amplitudes.

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B  D ( * ) K GLW, ADS

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B d k glw ads

BD(*)K GLW, ADS

Y. Horii (Nagoya) and K. Trabelsi (KEK)

Referees: Z. Dolezal, N. Muramatsu, K. Sakai

Thanks to very active refereeing!


3 from b d k decays

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 phaseis ϕ3, and relative strong phase is δB.

_

ϕ3 ~ −arg(Vub)

Color-suppressed

Color-allowed


B d k glw ads

Definitions of A and R given in BN1201.

rD and δD: well known.


B d k glw ads

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.


Key points of the method

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


1 result for b dk glw

1. Result for BDK GLW


B d k glw ads

Dπ (KID < 0.6) / Dπ (KID > 0.6) = (7.65 ± 0.14)%, consistent w/ (7.94 ± 0.31)% in MC xCalib.


B d k glw ads

CP+


B d k glw ads

CP−


Comparison of the results

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.

0.4

0.4

Belle, GLW

0.2

0.2

WA, GLW

WA, GLW

ACP−

WA, GGSZ

ACP+

0

0

WA, GGSZ

−0.2

−0.2

Belle, GLW

−0.4

−0.4

0.7

0.7

0.8

0.8

0.9

0.9

1.0

1.0

1.1

1.1

1.2

1.2

1.3

1.3

RCP+

RCP−

WA taken from HFAG 2011 summer.


2 result for b d k ads

2. Result for BD*K ADS


First evidence for b d k ads mode

First Evidence for BD*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*rDcos(δB*+δD)cosϕ3 (opposite sign for RDπ0 and RDγ).

continuum

continuum

Signal

Signal

D*π

D*π

DK/Dπ

DK/Dπ

BB

BB


Asymmetries for b d k ads mode

Asymmetries for BD*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 BD(*)K Dalitz result.


Comparison of the results1

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.

1

1

WA, ADS

0.5

0.5

WA, GGSZ

WA, ADS

AADS,Dπ0

AADS,Dγ

WA, GGSZ

0

0

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

−0.5

−0.5

Belle, ADS

−1

−1

0

0

0.01

0.01

0.02

0.02

0.03

0.03

0.04

0.04

0.05

0.05

0.06

0.06

RADS,Dπ0

RADS,Dγ

WA taken from HFAG 2011 summer.


3 extraction of 3

3. Extraction of ϕ3


Global fit for 3

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).


Summary and plan

Summary and Plan

  • BDK GLW

    • 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.


Backup slides

Backup slides


Check for b d ads validity of the method

Check for BD*π ADS: Validity of the Method

continuum

continuum

D*π

D*π

D*K

D*K

DK/Dπ

DK/Dπ

BB

BB


3 from b dk d cp eigenstates glw

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.


3 from b dk d suppressed states ads

ϕ3 from BDK, Dsuppressed states (ADS)

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

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

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


3 from b d k d suppressed states ads

ϕ3 from BD*K, Dsuppressed states (ADS)

New from Belle,full data (772M BB)

3.5σ

Suppressed mode alsoappearing in BD*K, D*Dγ mode.


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