Confronting predictive texture zeros in lepton mass matrices with current data

TL;DR

This paper systematically tests various lepton mass matrix textures against current neutrino data, identifying which patterns remain viable and which are excluded, thereby refining models of lepton masses.

Contribution

It provides a comprehensive $hi^2$ analysis of multiple texture zero schemes in lepton mass matrices using current experimental data.

Findings

Several texture patterns are consistent with data at 68.27% confidence level.

Some textures are disfavored or excluded by current neutrino observations.

The study includes analysis of two-zero, hybrid, and parallel texture structures.

Abstract

Several popular Ans\"atze of lepton mass matrices that contain texture zeros are confronted with current neutrino observational data. We perform a systematic $\chi^2$-analysis in a wide class of schemes, considering arbitrary Hermitian charged lepton mass matrices and symmetric mass matrices for Majorana neutrinos or Hermitian mass matrices for Dirac neutrinos. Our study reveals that several patterns are still consistent with all the observations at 68.27% confidence level, while some others are disfavored or excluded by the experimental data. The well-known Frampton-Glashow-Marfatia two-zero textures, hybrid textures and parallel structures, among others, are considered.