Abstract
At present, particle physics faces problems related with disparity in diphoton decay of Higgs boson, discrepancybetween theory and experiment of about $3.6 \si$ in anomalous magnetic moment of the muon and neutrino physics.Moreover, the existence of Dark Matter and the Matter-Antimatter Asymmetry are challenges for any physical model.In this review I present some solutions in the framework of the 3-3-1 models. The simple (by Higgs sector) models contain the hybrid inflationary scenario and the first-order phase transitions, from which leptogenesis needed for BAUis followed.By these considerations, some bounds on model parameters are derived.
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