The 3-3-1 model with S4 flavor symmetry

We construct a 3-3-1 model based on family symmetry S 4 responsible for the neutrino and quark masses. The tribimaximal neutrino mixing and the diagonal quark mixing have been obtained. The new lepton charge related to the ordinary lepton charge L and a SU (3) charge by and the lepton parity P l =(−) L known as a residual symmetry of L have been introduced which provide insights in this kind of model. The expected vacuum alignments resulting in potential minimization can origin from appropriate violation terms of S 4 and . The smallness of seesaw contributions can be explained from the existence of such terms too. If P l is not broken by the vacuum values of the scalar fields, there is no mixing between the exotic and the ordinary quarks at tree level.