Relating quarks and leptons with the T7 flavour group

TL;DR

This paper proposes a model using the T7 flavor symmetry to relate quark and lepton masses, predicting specific neutrino properties and decay rates consistent with current oscillation data.

Contribution

It introduces a T7-based flavor symmetry model that links quark and lepton masses and predicts neutrino mass and mixing parameters.

Findings

Predicts a canonical mass relation between charged leptons and down-type quarks.

Provides lower bounds for the lightest neutrino mass.

Estimates neutrinoless double beta decay rates.

Abstract

In this letter we present a model for quarks and leptons based on T7 as flavour symmetry, predicting a canonical mass relation between charged leptons and down-type quarks proposed earlier. Neutrino masses are generated through a Type-I seesaw mechanism, with predicted correlations between the atmospheric mixing angle and neutrino masses. Compatibility with oscillation results lead to lower bounds for the lightest neutrino mass as well as for the neutrinoless double beta decay rates, even for normal neutrino mass hierarchy.