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Chuan-Hung Chen Department 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 violation ICHEP2006: 1 with b s Penguins

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Determine the parameters of CKM matrix elements, or f B Test QCD theories: PQCD, QCDF, final state interactions etc.

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Probe flavor structures:

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Future tau ( ) physics B-factory: 1 ×10 9 Super-B: 100 ×10 9 CLEO-c: 10 ×10 6 BES-III: 100 ×10 6

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results up to 2005 mode x10 -7 mode x10 -7 BaBar0.68 lll ee Belle3.1 e e BaBar1.1 Belle1.5 e e Belle1.9 ee Belle2.4 lhh BaBar ' Belle10 BaBar0.7 e'e' Belle4.7 lV0lV0 CLEO20-75 Belle4.1 e 0 CLEO20 ee Belle1.9 Ks CLEO9.5 Belle1.4 e Ks CLEO9.1 Belle0.72

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mode x10 -7 mode x10 -7 Belle0.45 lll ee BaBar1.1 +ee+ee BaBar1.1 Belle0.65 ee+ee+ Belle1.9 ee Belle0.92 lhh BaBar ' Belle1.3 ++ BaBar0.7 e'e' Belle1.6 lV0lV0 Belle Belle1.2 0 Belle2.0 ee Belle0.80 BaBar0.59 Ks Belle0.52 BaBar0.58 e Ks Belle0.60 BaBar0.72 BaBar1.5

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Lepton flavor violation (LFV) quark flavor changing via charged current; charged weak current is written as In terms of physical eigenstates By Wolfenstein parametrization

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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. 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/M R which is around GUTs scale 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 M R 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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LFV with Higgs-mediated nonholomophic terms Y: diagonalized Yukawa matrix of leptons Due to nonholomophic effects, is not diagonal matrix Since 2 are loop effects, they are much less than 1, the LFV can be regarded as a leading expansion of 2 I ij

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Employ the physical mass eigenstates of the Higgses 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 M 1 ~M 2 ~m 0 ~ ~ M U ~ GeV, M R ~ GeV tan =60 BR< (3.1, 0.68) 10 7

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A s s , ’ = f s =0.17 GeV m ss =0.69 GeV

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h, H s s = 30 0, m s = 0.15 GeV, decoupling limit: /2

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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 GeV 4 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

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