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

Abstract

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.

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

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• Towards Minimal S4 Lepton Flavor Model
• PeV Scale Right Handed Neutrino Dark Matter in $S_4$ Flavor Symmetric extra U(1) model
• Bilinear R-parity violation with flavor symmetry
• Phenomenology of S_4 Flavor Symmetric extra U(1) model
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• Impact of lepton flavour universality violation on CP violation sensitivity of long baseline neutrino oscillation experiments
• Suppressing Proton Decay by Cancellation in S_4 Flavor Symmetric Extra U(1) Model
• Proton Stability in S_4 x Z_2 Flavor Symmetric Extra U(1) Model