The 3-3-1 model with S_4 flavor symmetry

Details The 3-3-1 model with S_4 flavor symmetry The 3-3-1 model with S_4 flavor symmetry

2010-09-13

arxiv.org/abs/1009.2328v2

Eur.Phys.J.C71:1544,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, revised version

Scientific paper

10.1140/epjc/s10052-011-1544-2

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}. 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 the tree level.

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