Flavor Mixing and Neutrino Masses

TL;DR

This paper explores mass matrices with four texture zeros for quarks and leptons, deriving mixing angles and neutrino masses that align with experimental data, and linking neutrino mass ratios to the solar mixing angle.

Contribution

It introduces a specific texture-zero mass matrix framework that predicts fermion mixing angles and neutrino masses consistent with observations.

Findings

Mixing angles are functions of fermion masses.

Neutrino mass ratios relate to the solar mixing angle.

Calculated neutrino masses are approximately 0.004 eV, 0.010 eV, and 0.070 eV.

Abstract

We discuss mass matrices with four texture zeros for the quarks and leptons. The three mixing angles for the quarks and leptons are functions of the fermion masses. The results agree with the experimental data. The ratio of the masses of the first two neutrinos is given by the solar mixing angle. The neutrino masses are calculated: $m_1$ $\approx$ 0.004 eV, $m_2$ $\approx$ 0.010 eV, $m_3$ $\approx$ 0.070 eV.