The flavor-dependent model

Jin-Lei Yang; Hai-Bin Zhang; Tai-Fu Feng

doi:10.1140/epjc/s10052-024-12958-5

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 616
https://doi.org/10.1140/epjc/s10052-024-12958-5

Regular Article – Theoretical Physics

The flavor-dependent $U {(1)}_{F}$ model

Jin-Lei Yang¹^,2^,3^a, Hai-Bin Zhang¹^,2^,3 and Tai-Fu Feng¹^,2^,3

¹ Department of Physics, Hebei University, 071002, Baoding, China
² Key Laboratory of High-Precision Computation and Application of Quantum Field Theory of Hebei Province, 071002, Baoding, China
³ Research Center for Computational Physics of Hebei Province, 071002, Baoding, China

^a jlyang@hbu.edu.cn

Received: 8 February 2024
Accepted: 25 May 2024
Published online: 18 June 2024

Abstract

A 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 $U {(1)}_{F}$ 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 $\bar{B} \to X_{s} γ,$ ${\bar{B}} \rightarrow X_s\gamma ,$ $B_{s}^{0} \to μ^{+} μ^{-},$ $B_s^0 \rightarrow \mu ^+\mu ^-,$ the top quark rare decay processes $t \to c h,$ $t\rightarrow ch,$ $t \to u h$ $t\rightarrow uh$ and the $τ$ $\tau$ lepton flavor violation processes $τ \to 3 e,$ $\tau \rightarrow 3e,$ $τ \to 3 μ,$ $\tau \rightarrow 3\mu ,$ $μ \to 3 e$ $\mu \rightarrow 3e$ predicted in the FDM are analyzed.

© The Author(s) 2024

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