Lepton Flavor Violating Process in Degenerate and Inverse-Hierarchical Neutrino Models

Abstract

We have investigated the lepton flavor violation in the supersymmetric framework assuming the large mixing angle MSW solution with the quasi-degenerate and the inverse-hierarchical neutrino masses. In the case of the quasi-degenerate neutrinos, the predicted branching ratio BR$(\mu \to e\gamma )$ strongly depends on $m_{\nu }$ and $U_{e3}$. For $U_{e3}\simeq 0.05$ with $m_{\nu }\simeq 0.3\text{eV}$, the prediction is close to the present experimental upper bound if the right-handed Majorana neutrino masses are degenerate. On the other hand, the prediction is larger than the experimental upper bound for $U_{e3}\ge 0.05$ in the case of the inverse-hierarchical neutrino masses.

Comments: Latex file, 20 pages, 6 figures, revised version, discussion are added, one figure and one equation also added