An Inverse Seesaw model with $A_4$-modular symmetry

TL;DR

This paper proposes an inverse seesaw model utilizing $A_4$-modular symmetry and a $U(1)$ gauge symmetry to restrict Yukawa interactions, leading to specific predictions in neutrino physics and implications for lepton flavor violation and collider experiments.

Contribution

It introduces a novel inverse seesaw model with $A_4$-modular symmetry that constrains neutrino Yukawa structures and predicts neutrino parameters and heavy neutrino mass relations.

Findings

Predictions for Dirac-CP phase and neutrino mass sum.

Relations among heavy pseudo-Dirac neutrino masses.

Implications for lepton flavor violation and collider physics.

Abstract

We discuss an inverse seesaw model based on right-handed fermion specific $U(1)$ gauge symmetry and $A_4$-modular symmetry. These symmetries forbid unnecessary terms and restrict structures of Yukawa interactions which are relevant to inverse seesaw mechanism. Then we can obtain some predictions in neutrino sector such as Dirac-CP phase and sum of neutrino mass, which are shown by our numerical analysis. Besides the relation among masses of heavy pseudo-Dirac neutrino can be obtained since it is also restricted by the modular symmetry. We also discuss implications to lepton flavor violation and collider physics in our model.