Charged lepton and Neutrino masses from a low energy SU(3) flavour symmetry model

TL;DR

This paper proposes a low-energy SU(3) flavor symmetry model that explains lepton and neutrino masses through a combination of tree-level Dirac See-saw mechanisms and one-loop radiative corrections, fitting known fermion spectra.

Contribution

It introduces a novel SU(3) flavor symmetry framework with vector-like fermions and a comprehensive neutrino mass matrix, providing a new approach to fermion mass generation beyond the Standard Model.

Findings

Heavy fermion masses are within a few TeV scale.

The model reproduces the known charged lepton masses.

A 8x8 Majorana neutrino mass matrix with four massless eigenvalues is constructed.

Abstract

We report a recent study on lepton masses within a beyond standard model with a SU(3) family symmetry model. In this scenario ordinary heavy fermions, top and bottom quarks and tau lepton become massive at tree level from Dirac See-saw mechanisms implemented by the introduction of a new set of $SU(2)_L$ weak singlet vector-like fermions $U,D,E,N$, with $N$ a sterile neutrino. The $N_{L,R}$ sterile neutrinos allow the implementation of a $8\times 8$ general tree level See-saw Majorana neutrino mass matrix with four massless eigenvalues. Hence, light fermions, including light neutrinos, obtain masses from one loop radiative corrections mediated by the massive SU(3) gauge bosons. Recent analysis shows the existence of a space parameter region where the $M_U, M_D,M_E,M_N$ vector-like fermion masses are within a scale of a few TeV's. This BSM model is able to accommodate the known spectrum of quark masses and mixing in a $4\times 4$ non-unitary $V_{CKM}$ as well as the charged lepton masses. We report a preliminary solution for ordinary charged lepton masses $(m_e, m_\mu, m_\tau) = (0.486, 102.7, 1746.17) MeV$ at the $M_Z$ scale, a $M_E \approx 2.6 TeV$ and SU(3) gauge boson masses of $\mathcal{O} (10 TeV)$. A detailed numerical analysis on neutrino masses and mixing is in progress and hopefully shall be reported soon.