An alternative gauged $U(1{)}_R$ symmetric model in light of the CDF II $W$ boson mass anomaly

Abstract

We consider an explanation of CDF II W bosom mass anomaly by $Z-Z^{\prime }$ mixing with $U(1{)}_R$ gauge symmetry under which right-handed fermions are charged. It is found that $U(1{)}_R$ is preferred to be leptophobic to accommodate the anomaly while avoiding other experimental constraints. In such a case we require extra charged leptons to cancel quantum anomalies and the SM charged leptons get masses via interactions with the extra ones. These interactions also induce muon $g-2$ and lepton flavor violations. We discuss muon $g-2$, possible flavor constraints, neutrino mass generation via inverse seesaw mechanism, and collider physics regarding $Z^{\prime }$ production for parameter space explaining the W boson mass anomaly.

Comments: 22 pages, 3 figures, 2 tables; version accepted for publication in Physical Review D