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.