Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry

TL;DR

This paper develops a minimal inverse seesaw model using $A_4$ modular symmetry to explain neutrino masses and mixing, reducing the need for extra flavons and predicting effective masses consistent with experimental bounds.

Contribution

It introduces a novel minimal inverse seesaw model employing $A_4$ modular symmetry, simplifying the flavor structure without extra flavons, and analyzes neutrino phenomenology including neutrinoless double-beta decay.

Findings

Neutrino masses and mixing angles are consistent with experimental data.

Effective mass for neutrinoless double-beta decay is within current experimental bounds.

Model predicts specific neutrino mass hierarchies and mixing parameters.

Abstract

In this paper, we construct a model with the help of modular symmetry in the framework of minimal inverse seesaw [ISS(2,3)]. We have used $\Gamma(3)$ modular group which is isomorphic to non-Abelian discrete symmetry group $A_4$. In this group there are three Yukawa modular forms of weight 2. Through this model, we study neutrino masses and mixing for both normal and inverted hierarchy. Use of modular symmetry reduces the need for extra flavons and their specific VEV alignments, as such, minimality of the model is maintained to a great extent. Along with $A_4$ symmetry group, we have used $Z_3$ to restrict certain interaction terms in the Lagrangian. Further we calculate the effective mass to address the phenomena of neutrinoless double-beta decay ($0\nu\beta\beta$). The values of effective mass is found to lie within the bound ($m_{eff}<0.165$ eV) as predicted by different $0\nu\beta\beta$ experiments.