Motivated by the latest CDF W-mass measurement as well as the muon gβ2
anomaly and the discrepancies observed in bβsβ+ββ transitions,
we propose an extension of the Standard Model (SM) with the SU(2)Lβ-singlet
vector-like fermion partners that are featured by additional U(1)β²
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)β² symmetry breaking. As a result, desirable
loop-level corrections to the (gβ2)ΞΌβ, the W-boson mass mWβ and the
Wilson coefficient C9β in bβsΞΌ+ΞΌβ transitions can be obtained.
The final allowed parameter space is also consistent with the constraints from
the ZβΞΌ+ΞΌβ decay, the neutrino trident production and the LHC
direct searches for the vector-like quarks and leptons.Comment: 34 pages, 15 figures, comments welcom