Flavor Mixing, Neutrino Masses and Neutrino Oscillations

TL;DR

This paper presents a model linking lepton mass matrices to neutrino oscillations, predicting neutrino masses, mixing angles, and their hierarchy, consistent with experimental data.

Contribution

It introduces a model that relates lepton mass eigenvalues to mixing angles, enabling predictions of neutrino masses and mixing parameters.

Findings

Neutrino masses are predicted as 0.004 eV, 0.01 eV, and 0.05 eV.

The atmospheric mixing angle is approximately 38 degrees.

The electron-neutrino mixing element is about 0.05.

Abstract

We study a model for the mass matrices of the leptons. We are ablte to relate the mass eigenvalues of the charged leptons and of the neutrinos to the mxiing angles and can predict the masses of the neutrinos. We find a normal hierarchy -the masses are 0.004 eV, 0.01 eV and 0.05 eV. The atmospheric mixing angle is given by the mass ratios of the charged leptons and of the neutrinos. We find 38 degrees, consistent with the experiments. The mixing element, connecting the first neutrino with the electron, is found to be 0.05.