Correlating the CDF $W$-mass shift with the muon $g-2$ and the $b\to s{\ell }^{+}{\ell }^{-}$ transitions

Abstract

Motivated by the latest CDF $W$-mass measurement as well as the muon $g-2$ anomaly and the discrepancies observed in $b\to s{\ell }^{+}{\ell }^{-}$ transitions, we propose an extension of the Standard Model (SM) with the $SU(2{)}_L$-singlet vector-like fermion partners that are featured by additional $U(1{)}^{\prime }$ gauge symmetry. The fermion partners have the same SM quantum numbers as of the right-handed SM fermions, and can therefore mix with the latter after the electroweak and the $U(1{)}^{\prime }$ symmetry breaking. As a result, desirable loop-level corrections to the $(g-2{)}_{\mu }$, the $W$-boson mass $m_W$ and the Wilson coefficient $C_9$ in $b\to s{\mu }^{+}{\mu }^{-}$ transitions can be obtained. The final allowed parameter space is also consistent with the constraints from the $Z\to {\mu }^{+}{\mu }^{-}$ decay, the neutrino trident production and the LHC direct searches for the vector-like quarks and leptons.

Comments: 34 pages, 15 figures, comments welcome