Non-Holomorphic Modular $\mathcal{A}_4$ Symmetric Scotogenic Model

TL;DR

This paper introduces a non-supersymmetric scotogenic model with non-holomorphic modular $\\mathcal{A}_4$ symmetry, generating neutrino masses and correlating neutrino observables through a compact, symmetry-based framework.

Contribution

It presents the first non-holomorphic modular $\\mathcal{A}_4$ symmetric scotogenic model, avoiding supersymmetry and demonstrating neutrino mass generation via a canonical mechanism.

Findings

Neutrino masses are generated through the scotogenic mechanism.

The model predicts specific correlations among neutrino observables.

Allowed VEV values of the modulus $\\tau$ are approximately $w$ and $2i$.

Abstract

The present work extends scotogenic and its modular $\mathcal{A}_4$ variation a step forward and demonstrates scotogenic modular $\mathcal{A}_4$ non-supersymmetric realization. To achieve this non-holomorphic modular symmetries come to rescue. Advantage of the current construction is the compactness of the model content and absence of the supersymmetric fields. Neutrino mass is generated through a canonical scotogenic mechanism. The allowed values of the VEV of the $\tau$ modulus are $\tau \simeq w$ and Im$[\tau]\approx 2$. The non-holomorphic modular $\mathcal{A}_4$ symmetry leads to correlations among the neutrino observables.