Flavored multiscalar $\mathbf{S}_{3}$ model with normal hierarchy neutrino mass

TL;DR

This paper presents a multiscalar S3 flavor symmetry model that successfully explains quark and lepton masses and mixings, favoring a normal neutrino mass hierarchy and aligning with experimental CP violation data.

Contribution

It introduces a novel multiscalar S3 flavor symmetry framework with specific textures that fit quark and lepton mixing data, including neutrino hierarchy and CP phase predictions.

Findings

Fits CKM matrix with NNI textures

Predicts normal hierarchy for neutrino masses

Consistent CP-violating phase with experiments

Abstract

We construct a multiscalar and non-renormalizable model where the $\mathbf{S}_{3}$ flavor symmetry drives mainly the Yukawa couplings. In the quark sector, the Nearest Neighbor Interaction (NNI) textures are behind the CKM mixing matrix so that this is fitted in good agreement with the last available results. In the lepton sector, an almost diagonal charged lepton mass matrix and extended Fritzsch mass textures in the effective neutrino mass matrix, that comes from the type II see-saw mechanism, provide consistent values for the mixing angles where the normal hierarchy is favored. The model predicts a CP-violating phase consistent with the experimental data and the BR for the lepton flavor violation process, $\mu\rightarrow e\gamma$, is well below the current bound.