Permutation Symmetry for Neutrino and Charged-Lepton Mass Matrices

Abstract

The permutation symmetry $S_3$ is appplied to obtain two equal Majorana neutrino masses, while maintaining three different charged-lepton masses and suppressing neutrinoless double beta decay. The resulting radiative splitting of the two neutrinos is shown to be suitable for solar neutrino vacuum oscillations.

Comments: 13 pages including 1 figure