The 3-3-1 model with S_4 flavor symmetry

Understand

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 \mathcal{L} related to the ordinary lepton charge L and a SU(3) charge by L=2/\sqrt{3} T_8+\mathcal{L} 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 \mathcal{L}.