Neutrino mass matrix in the standard parametrization with texture two zeros

TL;DR

This paper analyzes neutrino mass matrices with two texture zeros using standard parametrization, exploring implications for CP violation and neutrino mass hierarchy, and identifying which textures align with observed data.

Contribution

It investigates the compatibility of texture two zeros neutrino mass matrices with observed data, considering standard parametrization and non-standard CP violation sources.

Findings

Some texture two zeros matrices are incompatible with observed neutrino data.

Many matrices do not support a normal mass hierarchy when a nonzero Dirac phase is included.

Certain textures are ruled out if CP violation is due to non-standard phenomena.

Abstract

We study the texture two zeros neutrino mass matrices using the standard parametrization for the neutrino mixing matrix. We find that if the origin of CP violation in the leptonic sector is not due to the Dirac-type complex phase of the mixing matrix but because of some non-standard phenomena then some of the possible texture two mass matrices, which are allowed by standard parametrization, are found to be unsuitable to accommodate the observed data in the neutrino sector. Furthermore, incorporating nonzero Dirac phase in our analysis we find that many of them do not exhibit normal hierarchy.