A Model of Vector-like Leptons for the Muon $g-2$ and the $W$ Boson Mass

Hyun Min Lee; Kimiko Yamashita

doi:10.1140/epjc/s10052-022-10635-z

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arXiv · 2204.05024

A Model of Vector-like Leptons for the Muon $g-2$ and the $W$ Boson Mass

Hyun Min Lee·Kimiko Yamashita

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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.

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Hyun Min Lee, Kimiko Yamashita. 2022-04-11. A Model of Vector-like Leptons for the Muon $g-2$ and the $W$ Boson Mass. https://doi.org/10.1140/epjc/s10052-022-10635-z

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