We propose a renormalizable theory based on the $$SU(3)_C\times SU(3)_L\times U(1)_X$$ S U ( 3 ) C × S U ( 3 ) L × U ( 1 ) X gauge symmetry, supplemented by the spontaneously broken $$U(1)_{L_g}$$ U ( 1 ) L g global lepton number symmetry and the $$S_3 \times Z_2 $$ S 3 × Z 2 discrete group, which successfully describes the observed SM fermion mass and mixing hierarchy. In our model the top and exotic quarks get tree level masses, whereas the bottom, charm and strange quarks as well as the tau and muon leptons obtain their masses from a tree level Universal seesaw mechanism thanks to their mixing with charged exotic vector like fermions. The masses for the first generation SM charged fermions are generated from a radiative seesaw mechanism at one loop level. The light active neutrino masses are produced from a loop level radiative seesaw mechanism. Our model successfully accommodates the experimental values for electron and muon anomalous magnetic dipole moments.

We propose a viable model based on the SU (3)C × SU (3)L × U (1)X gauge group supplemented by the S4 family symmetry and other auxiliary cyclic symmetries, whose spontaneous breaking gives rise to the observed pattern of SM fermion masses and mixing angles. In the proposed model the small light active neutrino masses are generated from a linear seesaw mechanism mediated by three Majorana neutrinos. The model is capable of reproducing the experimental values of the physical observables of both quark and lepton sectors. Our model is predictive in the quark sector having 9 effective parameters that allow to successfully reproduce the four CKM parameters and the six Standard Model (SM) quark masses. In the SM quark sector, there is particular scenario, motivated by naturalness arguments, which allows a a good fit for its ten observables, with only six effective parameters. We also study the single heavy scalar production via gluon fusion mechanism at proton-proton collider. Our model is also consistent with the experimental constraints arising from the Higgs diphoton decay rate.

We construct a viable 3-3-1 model with two SU (3)L scalar triplets, extended fermion and scalar spectrum, based on the T family symmetry and other auxiliary cyclic symmetries, whose spontaneous breaking yields the observed pattern of SM fermion mass spectrum and fermionic mixing parameters. In our model the SM quarks lighter than the top quark, get their masses from a low scale Universal seesaw mechanism, the SM charged lepton masses are produced by a Froggatt-Nielsen mechanism and the small light active neutrino masses are generated from an inverse seesaw mechanism. The model is consistent with the low energy SM fermion flavor data and successfully accommodates the current Higgs diphoton decay rate and predicts charged lepton flavor violating decays within the reach of the forthcoming experiments.