chuan-hung chen department of physics, national cheng-kung u., tainan, taiwan...
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![Page 1: Chuan-Hung Chen Department of Physics, National Cheng-Kung U., Tainan, Taiwan seminar@cycu.11.21.06.tw Introduction & Motivation Higgs-mediated LFV Implications](https://reader031.vdocuments.site/reader031/viewer/2022032104/56649cdb5503460f949a5988/html5/thumbnails/1.jpg)
Chuan-Hung ChenDepartment of Physics, National Cheng-Kung U.,Tainan, Taiwan
Introduction & Motivation
Higgs-mediated LFV
Implications of LFV in tau decays
Speculation of Higgs-mediated effects
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What we can learn from B factories:
Introduction & Motivation
CP violations: time-dependence CP asymmetry & direct CP violationICHEP2006: 1 with b s Penguins
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Determine the parameters of CKM matrix elements, or fB
Test QCD theories: PQCD, QCDF, final state interactions etc.
cb c
ub u
td d d
V B X
V B X
V B B
ub BV f B
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Probe flavor structures: * (*)1. , 2. ,B K B K B
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Future tau () physics
B-factory: 1 ×109 Super-B: 100 ×109 CLEO-c: 10 ×106 BES-III: 100 ×106
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• results up to 2005mode x10-7 mode x10-7
BaBar 0.68 lll 1.1-3.5
e Belle 3.1 ee BaBar 1.1
Belle 1.5 ee Belle 1.9
e Belle 2.4 lhh BaBar 0.7-4.8
' Belle 10 BaBar 0.7
e' Belle 4.7 lV0 CLEO 20-75
Belle 4.1 e0 CLEO 20
e Belle 1.9
Ks CLEO 9.5 Belle 1.4
eKs CLEO 9.1 Belle 0.72
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mode x10-7 mode x10-7
Belle 0.45 lll 1.1-3.5
e BaBar 1.1 +ee BaBar 1.1
Belle 0.65 ee+ Belle 1.9
e Belle 0.92 lhh BaBar 0.7-4.8
' Belle 1.3 + BaBar 0.7
e' Belle 1.6 lV0 Belle 2.0-7.7
Belle 1.2 0 Belle 2.0
e Belle 0.80 BaBar 0.59
Ks Belle 0.52 BaBar 0.58
eKs Belle 0.60 BaBar 0.72
BaBar 1.5
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Lepton flavor violation (LFV) quark flavor changing via charged current; charged weak current is written as
, , L i L j
d
J u c t P s U P D
b
In terms of physical eigenstates†
L LDUp L p
CKM
J u P V V dV
,L LU D
p w p wu V U d V D
23
22
3 2
1 ( )2
12
(1 ) 1
CKM
A i
V A
A i A
0.82, 0.224A
By Wolfenstein parametrization
51
2LP
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In the standard model (SM), the flavor changing neutral currents (FCNCs) arise from loop
Rear decays induced from loop will be sensitive to new physics.
†
1
L LL p L pJ P V V P
In the SM, since neutrinos are massless, there are no flavor violations in lepton sector
According to observed neutrino oscillations, we know that neutrinos have masses so that
Maki-Nakagawa-Suzuki-Pontecorvo (MNSP)
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Higgs-mediated LFV Nonzero neutrino masses are definite.
It is found that seesaw mechanism, by introducing singlet right-handed Majorana neutrinos, is one of natural ways to solve the tiny neutrino masses which are less than a few eV.
In non-SUSY models, the effects of LFV are suppressed by 1/MR which is around GUTs scale 1015 GeV.
However, in models with SUSY, due to the right-handed Majorana introduced, the flavor conservation in the slepton sector at unified scale will be violated at the MR scale via renormalization. Borzumati,
Masiero, PRL57,961;Hall, Rattazzi, Sarid,PRD50,7048;Babu, Kolda,PRL89,241802
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Babu & Kolda’s mechanism for lepton flavor violation
nonholomophic terms
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At large tan ~ mt/mb, or cos << 1, the Higgs-mediated LFV will be enhanced
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Implications of LFV in decays
(, 3, , KK) induced by slepton mixings with large tan
Due to slepton mixings
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3~ ~ (10 )eR R O
3~ ~ (10 )KK
O
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LFV with Higgs-mediated
nonholomophic terms
Y: diagonalized Yukawa matrix of leptons
Due to nonholomophic effects, is not diagonal matrix0M
Since 2 are loop effects, they are much less than 1, the LFV can be regarded as a leading expansion of 2Iij
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Employ the physical mass eigenstates of the Higgses
0
0*
, dd
d
uu
u
HH
H
HH
H
The interactions for the LFV via the Higgs-mediated mechanism are expressed by
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Since the LFVs in and decay are driving by the same mechanism, to simplify the discussions, we take M1~M2~m0~~
(')
0( , , (980), )X X f KK
m
MU ~ 1019 GeV , MR ~ 1014 GeV
tan=60
BR< (3.1, 0.68) 107
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As
s
, ’
• =39.30
• fs=0.17 GeV• mss=0.69 GeV
,
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h, Hs
s0 (980), (600)f
• = 300, •ms = 0.15 GeV,•
0~ 0.33s s
ff f
• decoupling limit: /2
0 (980), (600)f
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h, H
• cs: cos(-)sin ; sc=sin(-)cos
• decoupling limit: /2
A
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h, H
K
K
• v=2.87 GeV, =-10.4 GeV4
•
•
0 0(1530) (980)~ 0.33 GeVs sf ff f
0 0(980) (1530)1.50, 3.18 GeVf KK f KKg g
K K
Cheng,Chua, Soni, PRD72,094003
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Speculation of Higgs-mediated effects
In terms of squark mixings, Babu,Kolda,PRL84,228(00)
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It is interesting to examine the effects on B decays
Charged Higgs on B
Higgs-mediated on q qB B
Higgs-mediated on (*),qB B K
Higgs-mediated on ,B K