Predictions for fermion masses and mixing from a low energy SU(3) flavor symmetry model with a Light Sterile Neutrino

TL;DR

This paper presents a low energy SU(3) flavor symmetry model that explains fermion masses, mixing, and neutrino oscillations, including sterile neutrinos, with predictions testable at the LHC.

Contribution

It introduces a novel SU(3) flavor symmetry framework incorporating a Light Sterile Neutrino and radiative mass generation, fitting known fermion spectra and neutrino oscillation data.

Findings

Fits quark and lepton masses and mixing within the model

Predicts sterile neutrino mass differences consistent with experiments

Suggests new particles within LHC detection range

Abstract

I report low energy results on the study of fermion masses and mixing for quarks and leptons, including neutrinos within a SU(3) flavor symmetry model, where ordinary heavy fermions, top and bottom quarks and tau lepton become massive at tree level from {\bf Dirac See-saw} mechanisms implemented by the introduction a new set of $SU(2)_L$ weak singlet vector-like fermions $U,D,E,N$, with $N$ a sterile neutrino. Light fermions obtain masses from one loop radiative corrections mediated by the massive SU(3) gauge bosons. Recent results shows the existence of a low energy space parameter where this 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. Motivated by the recent LSND and MiniBooNe short-baseline neutrino oscillation experiments we fit for the 3+1 scenario the neutrino squared mass differences $m_2^2 - m_1^2\approx 7.6\times 10^{-5}\;\text{eV}^2$, $m_3^2 - m_2^2\approx 2.43\times 10^{-3} \text{eV}^2$ and $m_4^2 - m_1^2\approx 0.29 \text{eV}^2$. The model predicts the D vector like quark mass in the range $M_D=(350 - 900)GeV$ and horizontal gauge boson masses of few TeV. These low energy predictions are within LHC possibilities. Furthermore, the above scenario enable us to suppress simultaneously the tree level $\Delta F=2$ processes for $K^o-\bar{K^o}$ and $D^o-\bar{D^o}$ meson mixing mediated by these extra horizontal gauge bosons within current experimental bounds.