mixing and decays within supersymmetry
description
Transcript of mixing and decays within supersymmetry
mixing and decays
within supersymmetry
Seungwon Baek (Korea Univ.)
S.B, D. London, J. Matias, J. Virto, JHEP0602, 027(2006);S.B, JHEP0609, 077(2006); S.B, D. London, J. Matias, J. Virto, JHEP0612, 019(2006); S.B, D. London, work in progress
In collaboration with D. London, J. Matias, J. Virto
S SB B
SB KK
Outline
• Motivation: “B→πK puzzle”
• SUSY model with large isospin violation- Grossman-Neubert-Kagan (GNK) scenario
• Strong constraint from Δms
• Bs → KK decays in GNK scenario
• ConclusionsBs-Bsbar mixing and Bs->KKSeungwon Baek 2
B→πK puzzle
0 '
0 ' ' ' '
0 ' '
0 0 0 ' ' '
( )
2 ( )
( )
2 ( )
i iEW
i
iEW
A B K P
A B K P T e P C e
A B K P T e
A B K P P C e
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In the SM,
• In the SM:
P’ T’≈ P’≫ EW C’≫
c nR R
0 0( ) ( )CP CPA B K A B K
0 0 0( ) sin 2CPS B K
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[G. Hou’s talk]
• problem has disappeared!! Buras, Fleischer, Recksiegel, Schwab
(04,05,06)
• ACP(π0K+) = 0.047±0.026
ACP (π-K+)=-0.093±0.015
[G. Hou’s talk]
• S(π0K0) = 0.33±0.21 sin(2β)(charmonium)=0.675±0.026
/c nR R
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• |C’/T’|=1.6±0.3 mainly due to ACP, S(π0K0) SB, London, hep-ph/0701181
cf. In b →d transition, |C/T|=0.28±0.15 (Combined analysis of B→ππ, B→KK). SB, arXiv:0707.2838
→can be solved by NP in the EW-penguin
Bs-Bsbar mixing and Bs->KKSeungwon Baek 6
GNK scenario• Z-mediated EW-peguin in SUSY is suppressed.
• “Trojan penguin?” Grossman, Neubert, Kagan(99)
b S
q qq
b S
g% g
q
b S
q q
b S
• Large enhancement in EW-peguin sector:2 2
2 2
/
/s SUSY
ew W
M
M
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Squark mass matrix:
2 2
, ,|L Rd RR d LL
M M
Squark mixing:
K K d dB B
( )SB B X
Oversimplified but useful in constraining 2-3 mixing.
Structure of squark mass matrix
Large 2-3 mixing motivated by SUSY GUT.S.B., T. Goto, Y. Okada, K. Okumura(01), Chang, Masiero, Murayama(02)
0 0
0 0
cos sin
sin cos
L
L
iL L LL L
iL L LL L
s s e b
b e s b
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• Large SUSY contribution is possible when– small gluino mass– – – cf. by SU(2)
• can get large SUSY contributions ( ).
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mixing
• mass difference:
• Consistent with the SM CKM fits.• Constrains NP models sensitive to
Δms
S SB B
S SB B(D0)
(CDF)
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[G. Hou’s talk]
Effective Hamiltonian
Sensitive to mass splitting of and their mixing.
and s b
Only is generated if only LL(RR) exists.MSSM MSSM1 1( )C C
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Results for xxxxxxxxx
B→XSγ constraint
0.5 (TeV), 0.5 (TeV)L
g bm m
Bs-Bsbar mixing and Bs->KK
δL=0 δL=π/2
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and
Bs-Bsbar mixing and Bs->KK
sB K K+ -® 0 0sB K K®
In the SM,
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• The SM amplitudes are fixed by B→KK modes by flavor-SU(3) symmetry, including factorizable SU(3)-breaking effect
• 1. 2. : QCDf, free of IR divergence and can be safely calculated
3. cf.
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0 0.180.17( ) 0.12dirA B K K+ + +
-® =-
S. Descotes-Genon, J. Matias, J. Virto (06)
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Bs-Bsbar mixing and Bs->KKSeungwon Baek 20
Bs-Bsbar mixing and Bs->KKSeungwon Baek 21
Bs-Bsbar mixing and Bs->KK
Isobreaking terms: PEW
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Conclusions• NP in the EW-penguin sector of B→πK is a
promising possibility.
• GNK scenario can give large enhancement to EW penguins in SUSY.
• Δms gives a strong constraint.
• Large CPVs are possible in Bs → K+K– and/or Bs → K0K0. The differences between
the two modes signal NP in the EW-penguin.
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