Correlating the CDF W-mass shift with the muon g − 2 and the b → sℓ+ℓ− transitions

Abstract

Motivated by the latest CDF W-mass measurement as well as the muon g−2 anomaly and the discrepancies observed in b→sℓ+ℓ− 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)′ 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)′ symmetry breaking. As a result, desirable loop-level corrections to the (g−2)μ, the W-boson mass mW and the Wilson coefficient C9 in b→sμ+μ− transitions can be obtained. The final allowed parameter space is also consistent with the constraints from the Z→μ+μ− decay, the neutrino trident production and the LHC direct searches for the vector-like quarks and leptons.