Flavor Mixing of Quarks and Neutrinos

TL;DR

This paper uses texture zero mass matrices to accurately describe quark and lepton flavor mixing, predicts neutrino masses and unitarity triangle angles, and suggests measurable parameters for upcoming experiments.

Contribution

It introduces a model based on texture zero mass matrices that explains flavor mixing and predicts neutrino masses and mixing angles.

Findings

Predicted unitarity triangle angle alpha is 90 degrees.

Calculated neutrino masses, with the largest at 0.05 eV.

Identified a measurable matrix element for the DAYA BAY experiment.

Abstract

The "texture zero mass matrices" for the quarks and leptons describe very well the flavor mixing of the quarks and leptons. We can calculate the angles of the unitarity triangle. We expect the angle alpha of the unitarity triangle to be 90 degrees. The masses of the neutrinos can be calculated - they are very small, the largest neutrino mass is 0.05 eV. We calculated the matrix element of the mixing matrix, relevant for the reactor mixing angle. It can be measured in the near future in the DAYA BAY experiment.