CP-odd weak basis invariants and texture zeros

TL;DR

This paper develops CP-odd weak basis invariants from the neutrino mass matrix to identify conditions for CP conservation and explores their implications for CP violation phases in various neutrino mass textures.

Contribution

It introduces a comprehensive set of CP-odd invariants and analyzes their relationships to understand CP violation in neutrino mass models with texture zeros.

Findings

Necessary and sufficient conditions for CP conservation derived.

Relationships between invariants and CP phases established.

Implications for phenomenologically viable neutrino textures discussed.

Abstract

We construct the CP-odd weak basis invariants from the neutrino mass matrix in a weak basis in which the charged lepton mass matrix is diagonal and find the necessary and sufficient conditions for CP conservation. We study the interrelationships between different CP-odd weak basis invariants to examine their implications for the Dirac and Majorana type CP violating phases for the phenomenologically allowed Frampton-Glashow-Marfatia texture zero structures of the neutrino mass matrix.