We discuss a mechanism in which the masses of the third, second, and first-generation charged fermions are generated at tree level, 1-loop, and 2-loop levels, respectively. In this mechanism, loop-induced masses are obtained through fermionic self-energy corrections induced by heavy gauge bosons of a new single flavorful \(U(1)_F\) symmetry, which have flavor-violating interactions with Standard Model fermions. Phenomenologically, the flavor-violating couplings \(Q_{ij}\) are desired to have \(|Q_{12}|<|Q_{23}|,|Q_{13}|\) because constraints from \(K^0\) - \(\overline{K}^0\) mixing and \(\mu \) -e conversion in nuclei, involving first and second family fermions, are more stringent than others. We establish a framework to achieve this condition and quantify the optimal flavor violations required to implement the radiative mass generation mechanism.

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Minimal \(Z^\prime \) for Radiative Generation of Fermion Masses

  • Gurucharan Mohanta

摘要

We discuss a mechanism in which the masses of the third, second, and first-generation charged fermions are generated at tree level, 1-loop, and 2-loop levels, respectively. In this mechanism, loop-induced masses are obtained through fermionic self-energy corrections induced by heavy gauge bosons of a new single flavorful \(U(1)_F\) symmetry, which have flavor-violating interactions with Standard Model fermions. Phenomenologically, the flavor-violating couplings \(Q_{ij}\) are desired to have \(|Q_{12}|<|Q_{23}|,|Q_{13}|\) because constraints from \(K^0\) - \(\overline{K}^0\) mixing and \(\mu \) -e conversion in nuclei, involving first and second family fermions, are more stringent than others. We establish a framework to achieve this condition and quantify the optimal flavor violations required to implement the radiative mass generation mechanism.