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

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.