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

TL;DR

This paper proposes a Standard Model extension with vector-like fermions and an extra U(1)' gauge symmetry to simultaneously address the CDF W-mass shift, muon g-2 anomaly, and B-meson decay discrepancies, fitting current experimental constraints.

Contribution

It introduces a novel model with vector-like fermions and U(1)' symmetry that explains multiple anomalies in particle physics simultaneously.

Findings

Achieves loop corrections to muon g-2, W mass, and B decay Wilson coefficient C9.

Parameter space consistent with Z decay, neutrino trident, and LHC constraints.

Provides a unified explanation for several recent experimental anomalies.

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.