The flavor-dependent $$U(1)_F$$ model

Abstract

AbstractA flavor-dependent model (FDM) is proposed in this work. The model extends the Standard Model by an extra $$U(1)_F$$ U ( 1 ) F local gauge group, two scalar doublets, one scalar singlet and two right-handed neutrinos, where the additional $$U(1)_F$$ U ( 1 ) F charges are related to the particles’ flavor. The new fermion sector in the FDM can explain the flavor mixings puzzle and the mass hierarchy puzzle simultaneously, and the nonzero Majorana neutrino masses can be obtained naturally by the Type I see-saw mechanism. In addition, the B meson rare decay processes $${\bar{B}} \rightarrow X_s\gamma ,$$ B ¯ → X s γ , $$B_s^0 \rightarrow \mu ^+\mu ^-,$$ B s 0 → μ + μ - , the top quark rare decay processes $$t\rightarrow ch,$$ t → c h , $$t\rightarrow uh$$ t → u h and the $$\tau $$ τ lepton flavor violation processes $$\tau \rightarrow 3e,$$ τ → 3 e , $$\tau \rightarrow 3\mu ,$$ τ → 3 μ , $$\mu \rightarrow 3e$$ μ → 3 e predicted in the FDM are analyzed.