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llKBllBs

(*)& Decays

Ru-Min WangRu-Min Wang

Henan Normal University

Huazhong Normal University

In collaboration with:Yuan-Guo Xu & Ya-Dong Yang

Oct 28, 2006, Guilin

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Motivation

Theoretical input

summary

Outline

NEXT

llKBllsB (*)& in effectsSUSY RPV

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Motivation

FCNC transitions are sensitive to NP contr-i

butions, especially in b->s transitions

New physics will be chased at LHC in loop

B decays.

.,, s

Blslbsb

.running of year1 within observe willLHCb s

B

year.per events 4400 :LHCb - 0*0 KB

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The two-Higgs doublet model (2HDM) Yuan-Ben Dai et al, Phys.Lett.B390,257(1997). Chao-Shang Huang et al., Phys.Rev.D63,114021(2001). C. Bobeth et al, Phys.Rev.D64,074014(2001). G. Erkol and G. Turan, Nucl.Phys.B635,286(2002). S. Schilling et al., Phys.Lett.B616,93(2005).

The supersymmetric model (SUSY) A. Ali et al., Phys.RevD61,074024(2000). E. Lunghi et al., Nucl.Phys. B568,120(2000). D. A. Demir et al, Phys.Rev. D66,034015(2002). Chao-Shang Huang and Xiao-Hong Wu, Nucl.Phys.B657,304(2003). S. R. Choudhury et al, Phys.Rev. D69,054018(2004).

The top quark two-Higgs doublet model (T2HDM) Zhen-jun Xiao and Lin-xia Lu, Phys. Rev.D74,034016(2006).

We try to calculate RPV SUSY effects .

Previous analysis of NP

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Using the latest data to obtain

the new upper limits on the

relevant RPV couplings.

Using the constrained RPV

couplings to examine the RPV

effects on

Comparing the SM predictions

with the RPV predictions about

).(

&)((*)

llKBA

llBBr

FB

s

.ˆ

)(&

ˆ)( (*)(*)

sd

llKBdA

sd

llKBdBrFB

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Motivation

Theoretical input

Summary

Outline

llKBllsB (*)& in effectsSUSY RPV

NEXT

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llKBllBqs

(*) in Diagrams in Diagrams

EM,Z0 penguins

W box

=u,d

The Standard Model The Standard Model

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SM in for amplitudesDecay llBs

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SM in for amplitudes Decays llKBq

(*)

A.Ali et al., Phys.Rev.D61,074024(2000).

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: Yukawa couplings

i, j,k : generation indices

C : charge conjugate field

)1(23 SLB

pR :parity-R

1B1L

DDUDQLELLHLWc

k

c

j

c

ijki

c

kjiijk

c

kjikijuiiR ˆˆˆˆˆˆˆˆˆˆˆ ][][ 2

1

2

1

R-parity violating superpotential:

R-parity Violating SUSY R-parity Violating SUSY

S is the particle spin

B is the baryon number

L is the lepton number

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sneutrino exchange squark exchange s-channel t-channel

: llBs

:(*) llKBq

Feynman diagrams in RPV SUSY

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2

1&

2

155

RLPP

squark exchange

sneutrino exchange

sneutrino exchange

Effective Hamiltonian in RPV SUSY

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llBs

in amplitudesRPV

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lKlBq

in aplitudesRPV

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llKBq

* in amplitudesRPV

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2(*)

39

(*)2

2

2

)(2ˆˆ

)(

)(8

||)(

llKBMm

udsd

llKBBd

llBMm

pllBB

BB

s

B

cB

s

s

ratios Branching

~~~ MMMMMuSM

amplitudeDecay

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)( (*) llKBAqFB

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Motivation

Theoretical input

Summary

Outline

llKBllsB (*)& in effectsSUSY RPV NEXT

hep-ph/0610338

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Experimental dataExperimental data

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con

strain

To constrain RPV couplingsTo constrain RPV couplings

The experimental data of the branching ratios

The relevant RPV coupling products

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Constraned parameter spacesConstraned parameter spaces

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Upper limitsUpper limits

from RPV mSUGRA

at MGUT scale

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pred

ict

.parameters input the on scan a Perform

spaces. couplingRPV dconstrainenew The

(*)FB

(*)(*)

RPV effects on ( )& A ( )

( )( ) RPV effects on &

ˆ ˆ

s

FB

Br B l l B K l l

dA B K l ldBr B K l l

ds ds

RPV SUSY predictions RPV SUSY predictions

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Regions of predictionsRegions of predictions

squark exchange sneutrino exchange

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Features of the numerical resultsFeatures of the numerical results

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Phys.Rev.D73,092001(2006).

Phys.Rev.Lett.96,092001(2006).

l=e [0.00,0.29] , l=mu [0.02,0.76]

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eeBeeKBs

ii

&(*)

*

2131in of Effects

s

ii

BKB &(*)

*

2232in of Effects

<=0.76<

=0.

29

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eeBeeKBs

ii

&(*)

*

3211in of Effects

s

ii

BKB &(*)

*

3222in of Effects

2x10^-7 10^-

7

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eeBeeKBs

ii

&(*)

23

*

11in of Effects

s

ii

BKB &(*)

23

*

22in of Effects

2x10^-7 10^-

7

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Motivation

Theoretical input

Summary

Outline

llKBllsB (*)& in effectsSUSY RPV

NEXT

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Summary

Derived new upper bounds on relevant RPV couplings with

the latest experimental data of their branching ratios.

These predictions could be tested at LHC.

.& (*) llKBllBs

four two in

onscontributiSUSY RPV the calculated have We

. in on effectsRPV the Shown

on effectsRPV the Predicted

llKBsddAsddB

llK(BAllBB

FB

FBs

(*)

(*)

ˆ/&ˆ/

).&)(

NP. and SM the between ndistinctio theallow

decays. the of dynamics thestudy

year.per events 4400 :LHCb -

FBA

σ(B)

KB

%2~

0*0

LHCb. at running of year1 withinobserved be will

year.per events 17 :LHCb -

s

s

B

B

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