A modular $A_4$ symmetric Scotogenic model for Neutrino mass and Dark Matter

TL;DR

This paper introduces a novel modular $A_4$ symmetric scotogenic model that explains neutrino masses, dark matter, and lepton flavor violation through a unified radiative mechanism, addressing key experimental anomalies.

Contribution

It proposes a new modular $A_4$ symmetric scotogenic model for neutrino mass generation, dark matter stability, and lepton flavor violation, integrating these phenomena in a unified framework.

Findings

Neutrino masses generated at one-loop level via radiative mechanism.

Lightest Majorana fermions serve as stable dark matter candidates.

Model addresses muon $g-2$ anomaly and $ o e  ext{ gamma}$ process.

Abstract

Modular symmetries have been impeccable in neutrino and quark sectors. This motivated us, therefore, to propose a variant of scotogenic model based on modular $A_4$ symmetry to realize the neutrino mass generation at one-loop level through radiative mechanism. Alongside, the lepton flavour violating process $\mu \to e \gamma$ and the muon $g-2$ anomaly are also addressed. The lightest Majorana fermions turn out to be potential dark matter candidates, made stable by suitable assignment of modular weights. The relic density of the same has been computed with annihilations mediated by inert scalars and new $U(1)$ gauge boson.