Upload
tyrone
View
35
Download
0
Embed Size (px)
DESCRIPTION
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 - PowerPoint PPT Presentation
Citation preview
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
Bs-Bsbar mixing and Bs->KKSeungwon Baek 3
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
Bs-Bsbar mixing and Bs->KKSeungwon Baek 4
[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
Bs-Bsbar mixing and Bs->KKSeungwon Baek 5
• |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
Bs-Bsbar mixing and Bs->KKSeungwon Baek 7
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
Bs-Bsbar mixing and Bs->KKSeungwon Baek 8
Bs-Bsbar mixing and Bs->KKSeungwon Baek 9
• Large SUSY contribution is possible when– small gluino mass– – – cf. by SU(2)
• can get large SUSY contributions ( ).
Bs-Bsbar mixing and Bs->KKSeungwon Baek 10
mixing
• mass difference:
• Consistent with the SM CKM fits.• Constrains NP models sensitive to
Δms
S SB B
S SB B(D0)
(CDF)
Bs-Bsbar mixing and Bs->KKSeungwon Baek 11
[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
Bs-Bsbar mixing and Bs->KKSeungwon Baek 12
Bs-Bsbar mixing and Bs->KKSeungwon Baek 13
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
Seungwon Baek 14
Seungwon Baek Bs-Bsbar mixing and Bs->KK 15
Seungwon Baek Bs-Bsbar mixing and Bs->KK 16
and
Bs-Bsbar mixing and Bs->KK
sB K K+ -® 0 0sB K K®
In the SM,
Seungwon Baek 17
• 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.
Bs-Bsbar mixing and Bs->KKSeungwon Baek 18
0 0.180.17( ) 0.12dirA B K K+ + +
-® =-
S. Descotes-Genon, J. Matias, J. Virto (06)
Seungwon Baek Bs-Bsbar mixing and Bs->KK 19
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
Seungwon Baek 22
Seungwon Baek Bs-Bsbar mixing and Bs->KK 23
Seungwon Baek Bs-Bsbar mixing and Bs->KK 24
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.
Bs-Bsbar mixing and Bs->KKSeungwon Baek 25