The SU(2)$_{D}$ lepton portals for muon g - 2, W boson mass and dark matter

Abstract

We propose a novel model which extends the Standard Model (SM) by introducing a SU(2)_DSU(2)D gauge symmetry. In this model, a dark SU(2)_DSU(2)D Higgs doublet and a Higgs bi-doublet can contribute to the muon g-2 anomaly and the WW boson mass, remaining in tune with the recent experimental results. At the same time, the isospin charged gauge boson of SU(2)_DSU(2)D becomes a plausible candidate for Dark Matter(DM). We find that the resulting parameter space can fit the muon g-2, the W boson mass and the DM constraints simultaneously.