Eur. Phys. J. C (2011) 71: 1544
https://doi.org/10.1140/epjc/s10052-011-1544-2

Regular Article - Theoretical Physics

The 3-3-1 model with S ₄ flavor symmetry

¹ Institute of Physics, VAST, P.O. Box 429, Bo Ho, Hanoi, 10000, Vietnam
² Department of Physics, Hanoi University of Education, Hanoi, Vietnam
³ Department of Physics, Tay-Nguyen University, Tay-Nguyen, Vietnam

^* e-mail: pvdong@iop.vast.ac.vn

Received: 13 September 2010
Revised: 20 December 2010
Published online: 1 February 2011

Abstract

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.