Permutation Symmetry for Neutrino and Charged-Lepton Mass Matrices

TL;DR

This paper explores the application of permutation symmetry $S_3$ to neutrino and charged-lepton mass matrices, achieving specific mass patterns and suppressing certain decay processes, with implications for solar neutrino oscillations.

Contribution

It introduces a novel use of $S_3$ symmetry to produce two equal neutrino masses while keeping charged-lepton masses distinct and suppressing neutrinoless double beta decay.

Findings

Two equal Majorana neutrino masses achieved

Suppression of neutrinoless double beta decay demonstrated

Radiative splitting suitable for solar neutrino vacuum oscillations

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.