Seesaw lepton masses and muon $g-2$ from heavy vector-like leptons

Abstract

We propose a model for the vector-like lepton to explain the small muon mass by a seesaw mechanism, based on lepton-specific two Higgs doublet models with a local $U(1{)}^{\prime }$ symmetry. There is no bare muon mass for a nonzero $U(1{)}^{\prime }$ charge of the leptophilic Higgs doublet, so the physical muon mass is generated due to the mixing between the vector-like lepton and the muon after the leptophilic Higgs doublet and the dark Higgs get VEVs. In this scenario, the non-decoupling effects of the vector-like lepton give rise to leading contributions to the muon $g-2$, thanks to the light $Z^{\prime }$ and the light dark Higgs boson. We discuss various constraints on the model from lepton flavor violation, electroweak precision and Higgs data, as well as collider searches.

arXiv comment24 pages, 8 figures, Published version

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• A Model of Vector-like Leptons for the Muon $g-2$ and the $W$ Boson Mass
• The $SU(2{)}_D$ lepton portals for muon $g-2$, $W$ boson mass and dark matter
• Muon g-2 and other observables in models with extended Higgs and matter sectors
• Towards a Model of Quarks and Leptons
• An alternative gauged $U(1{)}_R$ symmetric model in light of the CDF II $W$ boson mass anomaly