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

What we can learn from B factories: Introduction & Motivation CP violations: time-dependence CP asymmetry & direct CP violation ICHEP2006:  1 with b  s Penguins

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

Probe flavor structures:

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

results up to 2005 mode x10 -7 mode x10 -7    BaBar0.68   lll ee Belle3.1      e  e  BaBar1.1    Belle1.5      e  e  Belle1.9 ee Belle2.4   lhh BaBar    ' Belle10          BaBar0.7 e'e' Belle4.7 lV0lV0 CLEO20-75     Belle4.1   e  0 CLEO20 ee Belle1.9    Ks CLEO9.5      Belle1.4   e Ks CLEO9.1      Belle0.72

mode x10 -7 mode x10 -7    Belle0.45   lll ee BaBar1.1 +ee+ee BaBar1.1    Belle0.65 ee+ee+ Belle1.9 ee Belle0.92   lhh BaBar    ' Belle1.3 ++ BaBar0.7 e'e' Belle1.6 lV0lV0 Belle     Belle1.2    0 Belle2.0 ee Belle0.80      BaBar0.59    Ks Belle0.52      BaBar0.58   e Ks Belle0.60      BaBar0.72      BaBar1.5

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

 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)

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

Babu & Kolda’s mechanism for lepton flavor violation nonholomophic terms

At large tan  ~ mt/mb, or cos  << 1, the Higgs-mediated LFV will be enhanced

Implications of LFV in  decays   ( , 3 , , KK) induced by slepton mixings with large tan  Due to slepton mixings

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

 Employ the physical mass eigenstates of the Higgses  The interactions for the LFV via the Higgs-mediated mechanism are expressed by

    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

 A s s ,  ’  = f s =0.17 GeV m ss =0.69 GeV 

 h, H s s  = 30 0, m s = 0.15 GeV, decoupling limit:   /2 

 h, H cs: cos(  -  )sin  ; sc=sin(  -  )cos  decoupling limit:   /2  A 

 h, H K K v=2.87 GeV,  =-10.4 GeV 4  Cheng,Chua, Soni, PRD72,094003

Speculation of Higgs-mediated effects In terms of squark mixings, Babu,Kolda, PRL84,228(00)

It is interesting to examine the effects on B decays  Charged Higgs on B   Higgs-mediated on