Reevaluation of Higgs-Mediated mu-e Transition in the MSSM

We discuss the $\mu$-$e$ transition processes induced by non-holomorphic Yukawa interactions in the minimal supersymmetric standard model (MSSM). When supersymmetry is broken, the coupling structures between Higgs doublets and leptons are modified and flavor-changing neutral currents could be generated. In the framework of the MSSM, we calculate those effects to the rates for $\meg$, $\meee$, and $\mu$-$e$ conversion in nuclei. We perform more detailed calculations of the lepton flavor violating (LFV) operators in the heavy Higgs decoupling limit than previous works, and show the accurate $\tan\beta$ dependence of them. Furthermore, we compare the contribution to the LFV operators mediated by Higgs bosons with the one generated gaugino/slepton exchange, and discuss the competition between these two effects.