Neutrino mass determination from a four-zero texture mass matrix

TL;DR

This paper investigates four-zero texture mass matrices for quarks and leptons, using Chi-Square analysis to identify compatible solutions and estimate neutrino mass, particularly m_nu_3 around 0.05 eV.

Contribution

It provides a systematic analysis of four-zero texture mass matrices and identifies solutions compatible with experimental mixing data, estimating neutrino mass.

Findings

Four solutions compatible with CKM matrix found in quark sector

Preferred neutrino mass m_nu_3 around 0.05 eV

Chi-Square analysis constrains mass matrix parametrizations

Abstract

We analyze the different parametrizations of a general four-zero texture mass matrices for quarks and leptons, that are able to reproduce the CKM and PMNS mixing matrices. This study is done through a Chi-Square analysis. In quark sector, only four solutions are found to be compatible with CKM mixing matrix. In leptonic sector, using the last experimental results about the mixing angles in the neutrino sector, our Chi-Square analysis shows a preferred value for m_nu_3 to be around 0.05 eV independently of the parametrization of the four-zero texture mass matrices chosen for the charged leptons and neutrinos.