Lepton flavor violating processes in the bimaximal texture of neutrino mixings

Abstract

We investigate lepton flavor violation in the framework of the minimal supersymmetric standard model with right-handed neutrinos taking the large mixing angle Mikheyev-Smirnov-Wolfenstein solution in the quasidegenerate and inverse-hierarchical neutrino masses. We predict the branching ratio of $\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\mu}}e+\ensuremath{\gamma}$ and $\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\tau}}\ensuremath{\mu}+\ensuremath{\gamma}$ processes assuming degenerate right-handed Majorana neutrino masses. We find that the branching ratio in the quasidegenerate neutrino mass spectrum is 100 times smaller than the ones in the inverse-hierarchical and hierarchical neutrino spectra. We emphasize that the magnitude of ${U}_{e3}$ is one of the important ingredients to predict $\mathrm{BR}(\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\mu}}e+\ensuremath{\gamma}).$ The effect of the deviation from the completely degenerate right-handed Majorana neutrino masses is also estimated. Furtheremore, we examine the ${S}_{3L}\ifmmode\times\else\texttimes\fi{}{S}_{3R}$ model, which gives the quasidegenerate neutrino masses, and the Shafi-Tavartkiladze model, which gives the inverse-hierarchical neutrino masses. Both predicted branching ratios of $\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\mu}}e+\ensuremath{\gamma}$ are smaller than the experimental bound.