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B-decays at large tan in the MSSM

Seungwon Baek(KIAS)

In collaboration withP. Ko, W. Y. Song, Y. G. Kim

Phys. Rev. Lett. 89, 271801(2002) JHEP 03, 054 (2003)Phys. Rev. D. 67, 096004 (2003)Work in progress

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Outline

• Search for supersymmetry in b-decays• Large SUSY contribution to

from charginos at large tan• at large tan as a probe of SUSY

breaking models• and direct detection of neutralino

dark matter• Conclusions

sB

sB

)( SCP KBA

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Search for supersymmetry in b-decays

• MSSM=(SM+an extra Higgs doublet)+superpartners

+soft SUSY breaking terms +R-parity

• Indirect search (SUSY in the loop):

etc

Complementary to the direct searches: In some cases the SUSY loop contributions are not easily

decoupled even for very heavy SUSY particles. The SUSY contribution to FCNC can be enhanced at

large tan even without the new flavor structures

sb lslb )()( sdsd BB

SKJB / SKB SB

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SUSY contribution to • The time-dependent CP asymmetry of neutral B-

meson decays into CP-eigenstates

)( SCP KBA

• CP asymmetry in B→J/KS has been precisely measured and supports the CKM framework of CP violation

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• occurs at one-loop in the SM.• Sensitive to “new” CP violating phase in

the decay amplitude.

• SM:

• Experiments:

SKB

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SUSY explanation

• Gluino contribution:

– Kane et.al., PRL90(2003), Arnowitt, et.al, PRD68(2003),Khalil and Kou, PRL91(2003), Goto, et.al, hep-ph/0306093…

• Chargino contribution:– SB, PRD67(2003), Chakraverty, et.al. PRD68(2003)

• R-parity violating SUSY:– Dutta et.al. PRL90(2003),…

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• Chargino-stop contributions to at large tan

• With complex phase on (decoupling scenario)

• Large deviation in is possible if tan is large.

2,, MAt

SKS

SKB

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tan=35 tan=60

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sB

• The Yukawa interaction obtained from the superpotential is in the form

• Both up- and down-Yukawa matrices can be simultaneously diagonalized no Higgs-mediated FCNC at tree-level

at large tanas a probe of SUSY breaking models

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However, SUSY is broken.

The effective Yukawa interaction becomes

The two induced couplings are not simultaneosly diagonalized in the flavor any more Higgs- mediated FCNC is generated!!

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Large correction to down-type quark Yukawa couplings, Hall,Rattazzi,Sarid(1994)

tan

2/tan

3

1

mgmy Wbb

Corrections CKM matrix elments, Blazak, Raby, Pokorsky (1995)

203 tY y

sB Higgs-mediated penguin diagram contribution to

23 /tan At mA

7exp 108.5)( SBB

Babu, Kolda (2000)

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0AGeV,300 00 mmSUGRA for

Higgs Mass bound

sb

sB

)2( g

hm

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GMSB for

and1messN

GeV106messM

sB

)2( g

hm

Higgs Mass bound

Stau mass bound

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AMSB

sB

)2( g

hm

Higgs Mass bound

Stau mass bound sb

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A class of D-brane model: the SM gauge groups and 3 generations live on different Dp branes.

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D-brane model: 3/1i

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and direct detection of neutralinodark matter

sB

5 5( ) ( ) ( ) ( )q qL f qq d q q

Low energy effective Lagrangian for neutralino-quark int.

H dominates in the scalar interaction if tan is large, the amplitude is proportional to tan large gaugino and higgsino mixed state of neutralino is favored

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p vs. ( )sB B

Both observables increase as tan increases.

Smaller Higgs masses give larger observable values.

2tanp

6( ) tansB B

41/p Am

4( ) 1/s AB B m

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mSUGRA model ( A=0 and m,M < 1TeV )

Higgs and sparticle mass and ( )B b s bounds included.

2 0.095h •

• 20.095 0.13h

• 2 0.13h

LSP is Bino-like

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4.2 Non-universal Higgs mass Model (NUHM)

Parameterize the non-universality in the Higgs sector at GUT scale

2 21(1 ),

dHm m 2 2

2(1 )uH

m m

The above modifications of mSUGRA boundary cond. lead to the change of and at EW scale. Am

2 2 21( )

2uH Zm EW M

2 2 2 2( ) ( ) 2d uA H Hm m EW m EW

2 2 21( )

2dH Zm EW M

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tan 35, 0A mSUGRA NUHM 1 2( 1, 1)

Neutralino can be more mixed state.

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tan 35, 0A mSUGRA NUHM 1 2( 1, 1)

Heavier Higgs can be lighter than in the mSUGRA case,

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Non-Universal Higgs Mass Model 1 2( 1, 1)

tan 35, 0A

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Non-Universal Higgs Mass Model 1 2( 1, 1)

tan 50, 0A

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A D-brane Modeltan 50

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Conclusions

Large SUSY contribution to CP asymmetry in is possible through chargino-stop mediated diagrams if tanis large.

SKB

8105)( sBB If is observed, GMSB and AMSB models are disfavored.

There is positive correlation between scalar cross section for neutralino-proton scattering and branching ratio of decaysin mSUGRA, Non-Univ. Higgs mass and a D-brane model. The shapehas model-dependence, which may be useful for probing SUSY breakingscenarios. already constrains the parameter space of some models.

7108.5)( sBB

sB