Implications of CDF $W$-mass and $(g-2)_\mu$ on $U(1)_{L_\mu-L_\tau}$ model

TL;DR

This paper explores how a $U(1)_{L__}$ gauge symmetry model with vector-like leptons can simultaneously explain recent anomalies in the $W$-boson mass and muon magnetic moment, challenging previous assumptions.

Contribution

It demonstrates that introducing vector-like leptons in the $U(1)_{L__}$ model can resolve both anomalies without conflicting with existing experimental constraints.

Findings

Vector-like leptons can reconcile anomalies in $W$-mass and $(g-2)_$.

Electroweak scale $Z'$-boson remains viable with current experimental bounds.

The model provides a unified explanation for multiple recent anomalies.

Abstract

We study the implications of the recent anomalies in the $W$-boson mass and the anomalous magnetic moment of the muon on $U(1)_{L_\mu-L_\tau}$ model. We show that the introduction of vector-like leptons which mix with muon can solve both anomalies. Contrary to the conventional wisdom the electroweak scale $Z'$-boson is allowed without conflict with the trident neutrino production experiments.