# Modular $S_3$ symmetric radiative seesaw model

## TL;DR

This paper introduces a one-loop radiative seesaw model utilizing modular $S_3$ symmetry, linking dark matter, neutrino masses, and lepton flavor violations, with predictions consistent with current experimental data.

## Contribution

It presents a novel radiative seesaw model based on modular $S_3$ symmetry, connecting dark matter and neutrino phenomenology in a minimal non-Abelian discrete framework.

## Key findings

- Predictions for neutrino mixing angles and phases
- Compatibility with observed relic density of dark matter
- Constraints on lepton flavor violation processes

## Abstract

We propose a one-loop induced radiative seesaw model applying a modular $S_3$ flavor symmetry, which is known as the minimal non-Abelian discrete group. In this scenario, dark matter (DM) candidate is correlated with neutrinos and lepton flavor violations (LFVs). We show several predictions of mixings and phases satisfying LFVs, observed relic density, and neutrino oscillation data.