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

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 $Z^{\prime }$-boson is allowed without conflict with the trident neutrino production experiments.

Comments: 15 pages; 4 figures