experimental review of ads and glw methods ads+glw p. krokovny ckm 2006, nagoya experimental review...

Review ADS+GLW P. Krokovny CKM 2006, Nagoya

Experimental review of ADS and Experimental review of ADS and GLW methodsGLW methods

PavelPavel KrokovnyKrokovnyKEKKEK

IntroductionIntroductionApparatusApparatusMethodsMethodsResultsResultsSummarySummary


Unitarity triangle

⎟⎟⎟

⎠

⎞

⎜⎜⎜

⎝

⎛

−−−−−

−−≈

⎟⎟⎟

⎠

⎞

⎜⎜⎜

⎝

⎛=

1)1(2/1

)(2/1

23

22

32

ληρλλλλ

ηρλλλ

AiAA

iA

VVVVVVVVV

V

tbtstd

cbcscd

ubusud

{ }

⇒* *ub ud tb td* *cb cd c

* * *ub ud cb cd tb td

b cd

V V V VV V V V

V V V V V Vi k := 1, = + + = 0

+ 1

3

+ = 0

sin2φ1(β) is measured with a good accuracy at B-factories.

Measurement of all the angles needed to test SM.

Using unitarity requirement:


Relative phase: (B–→ DK–), (B+→ DK+)

includes weak (γ/φ3) and strong (δ) phase.

B+→ D0K+ decay

3*1 ~~ λAVV uscbA γη i

csub ei(ρ~AλV~V −− ~)3*2A

If D0 and D0 decay into the same final state, 000~ DreDD iθ+=

δγθ +−=

Need to use the decay where Vub contribution interferes with another weak vertex.

)(/)( 00 −−−− →→= KDBKDBrB AA

δγθ ++=

B–→ D0K–: B–→ D0K– :

2.01.0][*

*

÷≈×≈ suppcolor uscb

csub

VV

VVAmplitude ratio:


GronauGronau--LondonLondon--WylerWyler method

СР eigenstate of D-meson is used (DCP).CP-even : D1 →K+K–, π+ π –

CP-odd : D2 → KS π0, KS ω, KS φ, KSη…

)()()()(

2,12,1

2,12,121 ++−−

++−−

→+→

→−→=

KDBBrKDBBrKDBBrKDBBr

,Αγδ

γδcoscos21

sinsin22 ′++

′=

BB

B

rrr

⎩⎨⎧

+=′

πδδ

δfor D1

for D2

γδππ

coscos21)(/)()(/)( 2

002,12,1

2,1 ′++=→→→→

= BB rrDBBrKDBBrDBBrKDBBr

R

Additional constraint:

СР-asymmetry:

⇒ A1,2 of different signs

4 equations (3 independent: ), 3 unknowns ),,( γδBr2211 RARA −=

[Phys. Lett. B 253 (1991) 483][Phys. Lett. B 265 (1991) 172]


GLW method (Belle)


GLW method (Belle)Belle results (253 fb-1)hep-ex/0601032

1.13 ±0.16±0.05

1.17±0.14±0.14

B→D1K

0.06±0.14±0.05

B→D2K

-0.12±0.14±0.05

A

1.41±0.25±0.06

1.15±0.31±0.12

B→D*

1K-0.20±0.22±0.04

B→D*

2K0.13±0.30±0.08

B±→ DK± decay:

B±→ D*K±, D*→Dπ0 decay:

R

R A

B+→ D1K+ B-→ D1K-

B+→ D2K+ B-→ D2K-

GLW analyses alone do not constrain γ/φ3 significantly yet, but

can be combined with other measurements and provide information on rB


GLW method (BaBar)BaBar results (211 fb-1)Phys.Rev. D73, 051105 , Phys.Rev. D72, 071103

0.90±0.12±0.04

0.86±0.10±0.05

B→DCP+K

0.35±0.13±0.04

B→ DCP-K -0.06±0.13±0.03

A

1.96±0.40±0.11

0.65±0.26±0.08

B→DCP+K*

-0.08±0.19±0.08

B→ DCP-K*

-0.26±0.40±0.12

B±→ DK± decay:

B±→ DK*±, K*±→KSπ± decay:

R

R A

rB2=-0.12±0.08(stat)±0.03(syst)

rB2=0.30±0.25


Atwood-Dunietz-Soni methodD. 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–→D0K– - color allowedD0→K+π– - doubly Cabibbo-suppressed

B–→D0K– - color suppressedD0→K+π– - Cabibbo-allowed

Interfering amplitudesare comparable⇒


ADS method (Belle)

events9.4

4.44.2 +

−

B+ -> D0[K- π+] π+B+ -> D0[K+ π-] π+

events59

99634+

−

Peaking background from B+ -> K+ π− π+ decay.

Using D sidebands to subtract it. After subtraction the signal yield is events3.5

0.50.0 +

−


ADS method (Belle)Belle results (357 fb-1) hep-ex/0508048

Suppressed channel not visible yet:

δϕ coscos2)()(

322

DBDBDK rrrrKDBBrKDBBr

++=→→

=fav

suppR

34.89.7 10)0.10.0( −+

− ×±=DKR

Using rD=0.060±0.003, for maximum mixing (φ3=0, δ=180°):rB<0.18 (90% CL)

)()( 00 +−−+ →→= ππ KDKDrD AA


B→ D0K B→ D*0K (D*0 →D0π0) B→ D*0K(D*0→D0γ)

PRD 72 (2005) 071104Suppressed channel not visible

ADS method (BaBar)

3119 1013 −+

− ×=DKR310

6][* 1020−+

− ×−=KDD πR

31813][* 1011 −+− ×=KDD γR

rB<0.23 (90% CL) for B→DKrB<0.16 for B→D*K

)(2 22

][*][* 0 DBKDDKDD rr +=+πγ RR

Bondar & Gershon PRD70,091503(2004)


D0K*+D0 K

48o<γ<73o

For maximum mixing (γ/φ3=0, δ=180°):rB<0.23 @ 90% C.L.

1-C

L GLWADScombination1σ

2σ

3σ

rB

γ∈ [0,π] & (δD+δB)∈[0,2π]

rB=

DK*, GLW+ADS

Constraints on rB (BaBar)


ADS method (BaBar)B->D[K+π-π0] K hep-ex/0607065 (ICHEP 06)


ADS method (BaBar)

31012

710 1012 −++

−−×=DKR

31012

710 1091 −++

−−×=BR

B->D[K+π-π0] K hep-ex/0607065 (ICHEP 06)

rDK<0.039 (95% CL) rB<0.185 (95% CL)

3105991 −×±=BR


SummarySummary

The statistics is not enough for measure the The statistics is not enough for measure the φφ33//γγ using ADS and using ADS and GLW methodsGLW methods

However these approaches can provide constrain for However these approaches can provide constrain for rrBB and can be and can be used combined with used combined with DalitzDalitz analysis methodanalysis method

There are perspectives for improving the result with larger datThere are perspectives for improving the result with larger data seta set

experimental review of ads and glw methods ads+glw p. krokovny ckm 2006, nagoya experimental review...

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