SU(2)D lepton portals for the muon g-2, W-boson mass, and dark matter

We propose a novel model for lepton flavor and dark matter based on the SU(2)(D) gauge symmetry and vectorlike leptons in its fundamental representations. We introduce a dark SU(2)(D) Higgs doublet and a Higgs bidoublet for the mass mixing between the vectorlike lepton and the lepton. As a result, the seesaw lepton masses are generated and there are sizable one-loop contributions to the muon g - 2 via the SU(2)(D) gauge bosons and the relatively heavy vectorlike lepton, as indicated in Fermilab E989. The tree-level mass mixing between the Z boson and the isospin-neutral gauge boson of SU(2)(D) in our model accounts for the shift in the W boson mass, being consistent with Tevatron CDFII. Finally, we show that the isospin charged gauge boson of SU(2)(D) becomes a plausible candidate for dark matter with a small mass splitting tied up to the modified W boson mass, and there is a viable parameter space where the favored corrections to the muon g - 2 and the W boson mass and the dark matter constraints are simultaneously fulfilled.

Automated summary

We propose a new model for lepton flavor and dark matter based on SU(2)(D) gauge symmetry and vectorlike leptons. We introduce a dark SU(2)(D) Higgs doublet and a Higgs bidoublet for mass mixing between the vectorlike lepton and the lepton. As a result, the seesaw lepton masses are generated and there are significant one-loop contributions to the muon g - 2. The tree-level mass mixing between the Z boson and the isospin-neutral gauge boson of SU(2)(D) explains the shift in the W boson mass. Additionally, the isospin charged gauge boson of SU(2)(D) becomes a plausible candidate for dark matter, with a small mass splitting tied to the modified W boson mass.