Neutrino mass matrices with three or four vanishing cofactors and non diagonal charged lepton sector

TL;DR

This paper explores specific structured forms of lepton mass matrices with vanishing cofactors and non-zero elements, classifying possible textures and predicting unknown neutrino parameters, while also demonstrating their realization via flavor symmetries.

Contribution

It classifies all possible textures with three or four vanishing cofactors in neutrino matrices and predicts neutrino parameters, introducing a method to realize these textures with flavor symmetries.

Findings

Classified 7 classes of textures for neutrino mass matrices.

Predicted ranges for Dirac CP phase and Majorana mass.

Demonstrated realization of textures using discrete Abelian symmetries.

Abstract

We investigate the texture structures of lepton mass matrices with four (five) non-zero elements in the charged lepton mass matrix and three (four) vanishing cofactors in the neutrino mass matrix. Using weak basis transformations, all possible textures for three and four vanishing cofactors in $M_{\nu}$ are grouped into 7 classes and predictions for the unknown parameters such as the Dirac CP violating phase and the effective Majorana mass for the phenomenologically allowed textures have been obtained. We, also, illustrate how such texture structures can be realized using discrete Abelian flavor symmetries.