Implications of theta_13 on Fritzsch-like lepton mass matrices

TL;DR

This paper examines how the mixing angle theta_13 influences Fritzsch-like lepton mass matrices, ruling out certain neutrino mass hierarchies and exploring implications for neutrino mass parameters.

Contribution

It analyzes the impact of theta_13 on minimal and non-minimal Fritzsch-like textures for Majorana neutrinos, excluding some mass hierarchies and scenarios.

Findings

Inverted hierarchy and degenerate neutrino masses are ruled out.

Implications for the lightest neutrino mass m_ν_1 are discussed.

Constraints on the effective Majorana mass m_ee are derived.

Abstract

Implications of the lepton mixing angles, in particular of theta_13, have been investigated for minimal as well as non-minimal Fritzsch-like textures for the case of Majorana neutrinos. Both, in minimal texture (texture 6 zero lepton mass matrices) and non-minimal textures (two cases of texture 5 zero lepton mass matrices), inverted hierarchy and degenerate scenario of neutrino masses have been ruled out. The implications of theta_13 have been investigated on the lightest neutrino mass m_\nu_1 as well as the effective Majorana mass m_ee.