Fermions hierarchy problem and the symmetry breaking consequences in a 331 model
We discuss the fermions hierarchy problem as Yuwaka coupling as masses based on a
symmetry group SU(3)c ⊗ SU(3)L ⊗ U(1)X. The 3-3-1 model is developed in such way that
scalar sector will be minimal. The symmetry breaking is gotten to triplets, and the scalar
spectrum has two neutral Higgs, the lighter is defined as Standard Model Higgs. In other
hand, for the minimal fields contents, it is impossible every fermions getting mass, from
only renormalizable operator, because a quiral symmetry is remained. To quiral symmetry
breaking, we introduce 5-dimensional operators. Moreover, a natural supression is observed
for leptons masses and quarks-like up of Standard Model. Sush supression is gotten through
the small mixture angles between third families from quarks with another. However, to
quarks-like down this hierarchy do not remained.
We build second version of the model, impose a escale invariance, in which, only adimensionals coupling constants are allowed in the model. So, we propose a minimal model
with more one scalar singlet and a family of the leptons and quarks triplets and anti-triplets
of quarks, like vector character in order to generate massa to every fermions without 5-
dimensional operators. Furthermore, the symmetry breraking is gotten via radiative correction, from Coleman-Weinberg mechanism. This model we have increase a discrete symmetry
Z8, in order to restrict the sclarar and Yukawa interactions. So, we observate that a global symmetry U(1)N arise. A residual symmetry arise when the symmetry formed between
U(1)N and U(1)B is broken and phenomenological implication is remained as stabilization
from lighter particle in TeV scale.