Naturally perturbed S$_3$ neutrinos

TL;DR

This paper extends a model of Majorana neutrinos based on permutation symmetry, incorporating perturbations to explain neutrino masses and mixing, aligning well with experimental data.

Contribution

It introduces a simplified, extended $S_3$ symmetry-based model that accounts for neutrino mass differences and mixing angles, including CP violation.

Findings

Model reproduces neutrino mass differences accurately

Predicts non-zero $s_{13}$ and CP phase consistent with data

Aligns with global neutrino oscillation analysis

Abstract

We simplify and extend our previous model for the masses and mixing matrix of three Majorana neutrinos based on permutation symmetry $S_3$ and the perturbations which violate this symmetry. The perturbations are arranged such that we get the smaller solar neutrinos mass difference at second order. We work out the corrections to the tribimaximal mixing matrix with the non-zero value for $s_{13}$ and the conventional CP-violating phase. It is shown that the results of the model are comparable with the global analysis of neutrino oscillation data.