A complete survey of texture zeros in the lepton mass matrices

TL;DR

This paper systematically analyzes texture zeros in lepton mass matrices, identifying viable models and their predictive capabilities for neutrino properties, with implications for neutrino mass and mixing predictions.

Contribution

It provides a comprehensive classification of texture zero models in lepton mass matrices and introduces measures to evaluate their predictivity, extending previous partial analyses.

Findings

Dirac neutrino models predict the smallest neutrino mass and CP phase.

Majorana neutrino models can predict neutrinoless double beta decay mass.

Most models do not predict measured observables except for one marginal case.

Abstract

We perform a systematic and complete analysis of texture zeros in the lepton mass matrices and identify all viable and maximally restrictive cases of pairs (M_\ell, M_D) and (M_\ell, M_L), where M_\ell, M_D and M_L are the charged-lepton, Dirac neutrino and Majorana neutrino mass matrices, respectively. To this end, we perform a thorough analysis of textures which are equivalent through weak-basis permutations. Furthermore, we introduce numerical measures for the predictivity of textures and apply them to the viable and maximally restrictive texture zero models. It turns out that for Dirac neutrinos these models can at most predict the smallest neutrino mass and the CKM-type phase of the mixing matrix. For Majorana neutrinos most models can, in addition, predict the effective neutrino mass for neutrinoless double beta decay. Apart from one model, which has marginal predictive power with respect to sin^2(theta_23), no other model can predict any of the already measured observables.