We consider an explanation of CDF II W bosom mass anomaly by Z−Z′ 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′ production for parameter space explaining the W boson mass anomaly.
