Abstract

We propose a viable theory based on the SU(3)(C) x SU(3)(L) x U(1)(X) gauge group supplemented by the S-4 discrete group together with other various symmetries, whose spontaneous breaking gives rise to the current Standard Model (SM) fermion mass and mixing hierarchy. In the proposed theory 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 Cabbibo-Kobayashi-Maskawa parameters and the six SM quark masses. In the SM quark sector, there is particular scenario, motivated by naturalness arguments, which allows 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 a proton-proton collider. Our model is also consistent with the experimental constraints arising from the Higgs diphoton decay rate.