Froggatt-Nielsen like mechanism in the framework of Modular Symmetry for Neutrino Mass, Mixing and Leptogenesis

TL;DR

This paper introduces a neutrino mass model utilizing Froggatt-Nielsen-like modular symmetry within the $T'$ group, eliminating the need for an extra gauge symmetry and addressing neutrino oscillations, neutrinoless double beta decay, and baryogenesis.

Contribution

It presents a novel neutrino mass model based on FN-like modular symmetry that simplifies the traditional FN mechanism by removing the need for an additional gauge symmetry.

Findings

Model fits neutrino oscillation data

Addresses neutrinoless double beta decay

Explains baryon asymmetry

Abstract

We study a neutrino mass model with Froggatt-Nielsen (FN) like modular symmetry. The FN mechanism requires an additional gauge symmetry, $U(1)_{FN}$, which is spontaneously broken at high energies. But in this work, we do not need an extra symmetry as modular weights play the role of the FN charges of the additional $U(1)_{FN}$ symmetry. We have constructed a neutrino mass model using FN-like modular symmetry in the $T'$ group. This model can accommodate neutrino oscillation parameters and also address other phenomena beyond the Standard Model, such as neutrinoless double beta decay and the baryon asymmetry of the universe.