Abelian realization of phenomenological two-zero neutrino textures

TL;DR

This paper constructs minimal Abelian symmetry models that realize two-zero neutrino mass textures consistent with experimental data, using canonical and Smith normal form methods within the seesaw framework.

Contribution

It introduces a systematic approach to realize two-zero neutrino textures via Abelian symmetries, expanding the theoretical understanding of neutrino mass models.

Findings

Minimal Abelian symmetries can realize phenomenological two-zero textures.

The methods are applicable within the seesaw mechanism for Majorana neutrinos.

The approach ensures compatibility with current experimental neutrino data.

Abstract

In an attempt at explaining the observed neutrino mass-squared differences and leptonic mixing, lepton mass matrices with zero textures have been widely studied. In the weak basis where the charged lepton mass matrix is diagonal, various neutrino mass matrices with two zeros have been shown to be consistent with the current experimental data. Using the canonical and Smith normal form methods, we construct the minimal Abelian symmetry realizations of these phenomenological two-zero neutrino textures. The implementation of these symmetries in the context of the seesaw mechanism for Majorana neutrino masses is also discussed.