We study a supersymmetric model in which the Higgs mass, the muon anomalous magnetic moment, and the dark matter are simultaneously explained with extra vector-like generation multiplets. For the explanations, non-trivial flavor structures and a singlet field are required. In this paper, we study the flavor texture by using the Froggatt-Nielsen mechanism, and then find realistic flavor structures that reproduce the Cabbibo-Kobayashi-Maskawa matrix and fermion masses at low energy. Furthermore, we find that the fermion component of the singlet field becomes a good candidate for dark matter. In our model, flavor physics and dark matter are explained with moderate-size couplings through renormalization group flows, and the presence of dark matter supports the existence of just 3 generations in low-energy scales. We analyze the parameter region where the current thermal relic abundance of dark matter, the Higgs boson mass, and the muon g−2 can be explained simultaneously.
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