Inverse seesaw in $A_5^\prime$ modular symmetry

TL;DR

This paper explores an inverse seesaw model utilizing $A_5^\prime$ modular symmetry, simplifying neutrino mass and mixing predictions while reducing the need for extra scalar fields, and successfully accommodating current neutrino data.

Contribution

It introduces a novel inverse seesaw framework based on $A_5^\prime$ modular symmetry, providing a well-defined lepton mass structure with simplified neutrino phenomenology.

Findings

All neutrino oscillation parameters are accommodated.

The model predicts the effective electron neutrino mass in neutrinoless double beta decay.

Lepton flavor violating decays are briefly analyzed.

Abstract

We make an investigation of modular $\Gamma^{\prime}_5 \simeq A^{\prime}_5$ group in inverse seesaw framework. Modular symmetry is advantageous because it reduces the usage of extra scalar fields significantly. Moreover, the Yukawa couplings are expressed in terms of Dedekind eta functions, which also have a $q$ expansion form, utilized to achieve numerical simplicity. Our proposed model includes six heavy fermion superfields i.e., $\mathcal{N}_{Ri}$, $\mathcal{S}_{Li}$ and a weighton. The study of neutrino phenomenology becomes simplified and effective by the usage of $A^\prime_5$ modular symmetry, which provides us a well defined mass structure for the lepton sector. Here, we observe that all the neutrino oscillation parameters, as well as the effective electron neutrino mass in neutrinoless double beta decay can be accommodated in this model. We also briefly discuss the lepton flavor violating decays $\ell_i \to \ell_j \gamma$ and comment on non-unitarity of lepton mixing matrix.