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

TL;DR

This paper proposes a leptophobic $U(1)_R$ gauge symmetry model with $Z-Z'$ mixing to explain the CDF II W boson mass anomaly, addressing anomaly cancellation, muon $g-2$, and collider implications.

Contribution

It introduces a novel leptophobic $U(1)_R$ gauge symmetry model that explains the W mass anomaly while incorporating anomaly cancellation, muon $g-2$, and neutrino mass generation.

Findings

Leptophobic $U(1)_R$ model can accommodate the W boson mass anomaly.

Extra charged leptons are required for anomaly cancellation.

The model predicts collider signatures for $Z'$ production.

Abstract

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.