juornal club ntu

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b?s transition and right-handed flavor mixing
Makiko Nagashima National Taiwan University
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contents
Phenomena with b?s transition
stimulates many theoretical activities
steady investigation
Standard Model
!?
B ? fKs, B ? ?'Ks
TCPV
B ? K(Ksp)?
Do they call for New physics ?
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Implication for Bs system
Bs mixing
Puzzle of fK polarization
bold hypothesis
B ? fK, B ? ?K
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CP violation
Matter ? Antimatter
1960s
K2?2p
First evidence
B?J/?K?? (sin2f1)
2001
B?pp
B??'K
B?Kp
B?fK??
2004
B?D??K
B?K(Ksp)?
and so on
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3 generation 1 CPV phase
Unitarity triangle in B decay
(ICHEP04)
Fat Guy
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Time dependent CP asymmetry
f
B
B
(few 10)
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Amplitude is calculated from
Tree process
b?ccs
TCPV
sin2f1 0.73
Vtd phase
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Penguin process
b?sss (pure)
B?fK
Vtd phase
TCPV
Sf sin2f1
Penguin dominant,
B??'K, Ksp
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(ICHEP04)
However,
2.7s deviation
2.4s deviation
from sin2f1 0.726
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Experimental results
Tree Penguin annihilate
rate
Factorizable non-fact.
Final state interaction
CPV
New Physics
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Plausible NP
If NP is present, it should be more smart
rather than Standard model .
Maybe
Flavor problem
Knowledge of RH
flavor mixing
Social minority in the SM
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Flavor problem
Origin of mixing, mass hierarchy
Wolfenstein parameter
Lack of direct knowledge for RH
W
weak interaction
cL
Vcb
only LH
bL
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Model of Maximal sR-bR mixing
Abelian flavor symmetry
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Quark mass generated via SSB
Diagonalization
Froggatt-Nielsen Mechanism
Explain hierarchical mass structure
Abelian Flavor Symmetry
T is responsible for FSB
horizontal charge
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Quark mass matrix
Abelian feature
Squark mass matrix
Unacceptable large effect on K, B mixing
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Quark-Squark Alignment w/ 4 Texture
zeros
d flavor decoupled
fully evade
Arhrib, Chua and Hou (2001)
New CPV phase
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How large d could be ?
Naively Diagonal
Perturbative expansion

Maximal
Mass insertion
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SM vs NP
LH vs RH
Large contributions coming from light
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Tree
Tree
Strong Penguin
Strong Penguin
EM/EW Penguin
EM/EW Penguin
?/g Dipole
?/g Dipole
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Can light sb survive ?
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Illustration
mass
SUSY scale
squark scale
mass
NP purely short distance
Naïve factorization
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(ICHEP04)
B?fK, ?'K s testimony
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B?fK
large sensitivity
B??'K
If sign different,
Chromo Dipole Effect is important !!
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J. Hisano and Y. Shimizu, PLB(2004)
Chromo Dipole Effect
Correlation
vs
constrained by EDM of
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New constraint on RR,LL from
Mass insertion
After ICHEP04
M. Endo et al, hep-ph/0409245
Upper limit
NP phase in L.H. is favored ?
squark scale
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D T. Larson et al, hep-ph/0411178
and
take objection to hep-ph/0409245
RH operator can account for the experimental
results !
Not excluded yet and Much information can
be extracted
weak phase of RH operators
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(ICHEP04)
B?Kp, K(Kp)? s testimony
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B?Ksp
B?K?
Wrong helicity Photon
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Implication for Bs system
too large to measure ..
(ICHEP04)
CP even
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Transverse gluon fragmentation
B?fK , ?K
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B ? V1 V2 decays
0 (S wave) 1 (P wave) 2 (D wave)
V1 (L11) V2 (L21)
is made up by L
B meson (spin0)
helicity
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Final state can be decomposed into three by
means of helicity states
linear combination
longitudinal
transverse
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Experimental point
V1 rest
V2
V1
longitudinal
parallel
transverse
perpendicular
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What is a puzzle ?
B(B?fK)
consistent
SM assertion (2003)
inconsistent
Polar. fraction
Large transverse component
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b? light quark
mass-less limit chirality helicity
left-handed (-)
right-handed ()
Transverse
Longitudinal
costs
costs
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Sakai-sans talk (ICHEP04)
B?fK s testimony
SM assertion (2003)
f
75
L
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Does chromo-dipole work ?
(dynamical change between and )
costs or
Similar to (V-A)(V-A) current
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Kagan ?
Annihilation graph
longitudinal
Same cost
transverse
(S-P)(SP)
Weak annihilation parameter
BBNS parameterize (NPB675,333 (2003))
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longitudinal
transverse
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longitudinal
gt
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Colangelo et al ?
Ladisa et al, hep-ph/0409286 FSI (Regge model)
FSI effects
Cheng, Chua and Soni hep-ph/0409317 FSI
B?VV(PP)?VV
rescattering parameter r
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QCDSR
LCSR
gt
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Before August,
B?fK
L and T comparable
B??K
L dominant
synchronies
same mechanism contributes,
need a bold hypothesis
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b ? s g
Source of transverse f
transverse
Hadronic scale
gt
Perturbative Vacuum
f
K
T
b
T
s
?
?, X?
W.S.Hou and MN, hep-ph/0408007

fragmentation
recoil system
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Ansatz
does not affect Charged Vector meson or ?
ad hoc
Ch Dipole
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in the SM
NP w/ s90
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H-n. Li and S. Mishima, hep-ph/0411146
pQCD approach, including twist-4 contributions
Standard Model (do not need New physics)
?K is similar to ?K
Y-D. Yang et. al, hep-ph/0411211
R-parity Violating SUSY w/ QCDF
Branching fractions of ?K, ?K and ??
There is no CPV study
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TCPV
SM
NP
T CPV, d CPP
..
Dilute each other out
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Triple-product asymmetry
T-odd
B?V1V2
T-violating
CP
-)
Same sign
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However
Belle, hep-ex/0408141
Opposite sign
Implication of new CPP phase ?
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(ICHEP04)
B???K s testimony
gt
transverse gluon
lt
Annihilation FSI
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Summary
Phenomena with b?s transition
Model of Maximal sR-bR mixing
B ? fKs, B ? ?'Ks
TCPV
B ? K(Ksp)?
Implication for Bs system
Puzzle of B ? fK
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Remarks
DZero
Nice to cross-check
pure penguin annihilation