Texture zeros realization in a three-loop radiative neutrino mass model from modular $A_4$ symmetry

TL;DR

This paper constructs a three-loop neutrino mass model with modular $A_4$ symmetry, deriving verifiable two-zero textures that depend on right-handed charged-lepton assignments, and explores collider detection prospects for doubly-charged bosons.

Contribution

It introduces a novel three-loop neutrino mass model utilizing modular $A_4$ symmetry to determine neutrino mass textures based on charged-lepton assignments.

Findings

All possible two-zero texture patterns identified.

Analytical and numerical analyses of neutrino mass structures performed.

Potential collider signatures for doubly-charged bosons discussed.

Abstract

We derive verifiable two-zero textures in the framework of a three-loop induced neutrino mass model applying a modular $A_4$ symmetry for the lepton sector. Interestingly, the neutrino mass structure is determined by assignments of the right-handed charged-lepton particles only. We show all the possible texture patterns and demonstrate their analytical and numerical analyses. Finally, we mention a possibility of detection for doubly-charged boson via colliders that decays into specific modes due to the flavor symmetry.