S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model

Details S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model

2009-10-18

arxiv.org/abs/0910.3370v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 4 tables. Flavon sector and references are added. Sentences are modified

Scientific paper

We propose a E_6 inspired supersymmetric model with a non-Abelian discrete flavor symmetry (S_4 group); that is, SU(3)_c x SU(2)_W x U(1)_Y x U(1)_X x S_4 x Z_2. In our scenario, the additional abelian gauge symmetry; U(1)_X, not only solves the mu-problem in the minimal Supersymmetric Standard Model(MSSM), but also requires new exotic fields which play an important role in solving flavor puzzles. If our exotic quarks can be embedded into a S_4 triplet, which corresponds to the number of the generation, one finds that dangerous proton decay can be well-suppressed. Hence, it might be expected that the generation structure for lepton and quark in the SM(Standard Model) can be understood as a new system in order to stabilize the proton in a supersymemtric standard model (SUSY). Moreover, due to the nature of the discrete non-Abelian symmetry itself, Yukawa coupling constants of our model are drastically reduced. In our paper, we show two predictive examples of the models for quark sector and lepton sector, respectively.

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