Investigating texture six zero lepton mass matrices

TL;DR

This study systematically examines all possible texture six zero lepton mass matrices, both Fritzsch-like and non-Fritzsch-like, for Majorana and Dirac neutrinos, to determine their compatibility with current neutrino oscillation data.

Contribution

It provides a comprehensive analysis of 144 texture six zero lepton mass matrices, identifying which are compatible with experimental data for different neutrino mass hierarchies.

Findings

All combinations are incompatible with inverted hierarchy and degenerate scenarios for Majorana neutrinos.

Only 16 combinations fit the normal hierarchy for Majorana neutrinos.

All combinations are incompatible with Dirac neutrinos across all hierarchies.

Abstract

Texture six zero Fritzsch like as well as non Fritzsch like hermitian lepton mass matrices (144 combinations in all) have been investigated for both Majorana and Dirac neutrinos for their compatibility with the current neutrino oscillation data, keeping in mind the hierarchy of neutrino masses. All the combinations considered here for Majorana neutrino masses are ruled out by the existing data in the case of inverted hierarchy and degenerate scenario. For Majorana neutrinos with normal hierarchy, only 16 combinations can accommodate the experimental data. Assuming neutrinos to be Dirac particles, normal hierarchy, inverted hierarchy as well as degenerate neutrinos are ruled out for all combinations of texture 6 zero hermitian mass matrices.