The Frobenius group T13 and the canonical see-saw mechanism applied to neutrino mixing

TL;DR

This paper explores how the Frobenius group T13 combined with the canonical see-saw mechanism can model neutrino mixing, leading to a predictive framework for neutrino masses and neutrinoless double beta decay.

Contribution

It introduces a minimal extension of the Standard Model using T13 symmetry and the see-saw mechanism to constrain neutrino mass parameters and predict observable phenomena.

Findings

Neutrino mass matrix parameters are narrowed to two.

The model predicts neutrino mass eigenvalues consistent with experimental data.

Allowed regions for neutrinoless double beta decay are identified.

Abstract

The compatibility of the Frobenius group T13 with the canonical see-saw mechanism of neutrino mixing is examined. The Standard Model is extended in a minimalist way, by introducing a family symmetry and three right-handed neutrinos. To fit experiments and place constraints on the possibilities, tribimaximal mixing is used as a guideline. The application of both a family symmetry group and the canonical see-saw mechanism naturally generates small neutrino masses. The various possibilities from combining these two models are listed. Enough constraints are produced to narrow down the parameters of the neutrino mass matrix to two. This is therefore a predictive model where neutrino mass eigenvalues and allowed regions for neutrinoless double beta decay are suggested.