Phenomenological quark-lepton mass relations and neutrino mass estimations

TL;DR

This paper proposes phenomenological mass relations between quarks and leptons, using experimental data to predict neutrino masses that align with current observations and support a normal hierarchy.

Contribution

It introduces a novel power law relation with exponent 3/4 linking charged leptons and up quarks, and extends similar relations to neutrinos and down quarks for mass predictions.

Findings

Predicted neutrino masses: 0.0003 eV, 0.003 eV, 0.04 eV

Relations are consistent with experimental data

Supports normal neutrino mass hierarchy

Abstract

Based on the experimental data and estimations of the charged leptons and quarks masses, a close power law with exponent 3/4 has been found, connecting charged leptons masses and up quarks masses. A similar mass relation has been suggested for the masses of neutral leptons and down quarks. The latter mass relation and the results of the solar and atmospheric neutrino experiments have been used for prediction of neutrino masses. The obtained masses of electron neutrino, muon neutrino and tau neutrino are 0.0003 eV, 0.003 eV and 0.04 eV, respectively. These values are compatible with the recent experimental data and support the normal hierarchy of neutrino masses.