A radiative seesaw model in modular $A_4$ symmetry

TL;DR

This paper introduces a one-loop radiative seesaw model utilizing modular $A_4$ symmetry, predicting neutrino masses, muon magnetic moment, and lepton flavor violations with specific flavor structure.

Contribution

It presents a novel radiative seesaw model based on modular $A_4$ symmetry, linking neutrino masses and lepton anomalies with specific flavor predictions.

Findings

Predicted neutrino mass matrix consistent with experimental data

Explained muon anomalous magnetic moment via Yukawa couplings

Identified lepton flavor violation signatures within the model

Abstract

We study one-loop induced radiative seesaw model applying a modular $A_4$ flavor symmetry, in which the neutrino mass matrix is achieved by two different Yukawa couplings one of which also contributes to positive value of muon anomalous magnetic moment as well as lepton flavor violations. Thanks to the specific mass matrix via $A_4$ symmetry and its modular weight, we find several predictions for lepton sector through our numerical analysis.