A model of vector-like leptons for the muon g-2 and the W boson mass

Abstract

We consider a simple extension of the Standard Model (SM) with a vector-like lepton and a local U(1)' symmetry, motivated by the recent experimental anomalies in the muon g-2 and the W boson mass. The U(1)' symmetry is spontaneously broken by the VEVs of the dark Higgs scalar and the second Higgs doublet, giving rise to the mixing between the muon and the vector-like lepton. As a result, we obtain the desirable corrections to the muon g-2 and the W boson mass simultaneously, dominantly due to the Z' gauge interactions for the vector-like lepton and the second Higgs doublet, respectively. We also discuss the consistency of the model with the Z boson decay width, the Higgs couplings and the dilepton bounds.