  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.
