Discrete flavor symmetry and minimal seesaw mechanism

TL;DR

This paper develops a neutrino mass model using a minimal seesaw mechanism combined with a non-abelian discrete flavor symmetry, aiming to explain neutrino mixing patterns and their deviations from tri-bi-maximal mixing.

Contribution

It introduces a novel neutrino mass model based on $ ext{S}_4 imes ext{Z}_2$ symmetry with only two right-handed neutrinos, achieving TBM mixing and exploring deviations.

Findings

Achieves tri-bi-maximal neutrino mixing through the model.

Analyzes potential deviations from TBM mixing consistent with experimental data.

Provides a framework linking discrete flavor symmetry to neutrino phenomenology.

Abstract

This work proposes a neutrino mass model that is derived using the minimal seesaw mechanism which contains only two right-handed neutrinos, under the non-abelian discrete flavor symmetry $\mathbb{S}_4\otimes\mathbb{Z}_2$. Two standard model doublets, $L_\mu$ and $L_\tau$, are assigned simultaneously to a $\mathbf{2}$ representation of $\mathbb{S}_4$. When the scalar fields introduced in this model, addition to the Standard Model Higgs, and the leptons are coupled within the symmetry, the seesaw mechanism results in the tri-bi-maximal neutrino mixing. This study examined the possible deviations from TBM mixing related to the experimental data.