$W$ mass in a model with vector-like leptons and $U(1)^\prime$

TL;DR

This paper explores how vector-like leptons within a $U(1)^\'$ gauge symmetry can simultaneously address the $W$ boson mass anomaly, muon magnetic moment, and B meson decay anomalies, proposing specific mass ranges consistent with collider constraints.

Contribution

It introduces a model with vector-like leptons and a $U(1)^\'$ symmetry that explains multiple recent anomalies in particle physics.

Findings

The $W$ mass anomaly can be explained if charged leptons are lighter than 250 GeV and neutral leptons lighter than 80 GeV.

Light vector-like leptons may evade collider constraints if they decay into $U(1)^\'$ breaking scalar modes.

The model provides a unified framework for addressing several anomalies in particle physics.

Abstract

We study the effects of vector-like leptons on the $W$ boson mass in a model with a vector-like $U(1)^\prime$ gauge symmetry. This model provides simultaneous explanations for the recent anomalies in the muon anomalous magnetic moment and the semi-leptonic decays of $B$ mesons. We found that the recent result of the $W$ boson mass precise measurement at CDF can be explained if the charged (neutral) vector-like lepton is lighter than 250 (80) GeV. The light vector-like leptons may not be excluded by collider experiments if these decay to a physical mode of the $U(1)^\prime$ breaking scalar field.