The $SU(2)_D$ lepton portals for muon $g-2$, $W$ boson mass and dark matter

TL;DR

This paper introduces a new $SU(2)_D$ gauge symmetry model that addresses the muon $g-2$ anomaly, the $W$ boson mass discrepancy, and provides a dark matter candidate, aligning with recent experimental data.

Contribution

It presents a novel extension of the Standard Model with $SU(2)_D$ symmetry, explaining multiple anomalies and dark matter within a unified framework.

Findings

Model fits muon $g-2$ and $W$ mass data

Dark $SU(2)_D$ gauge boson as dark matter candidate

Parameter space consistent with experimental constraints

Abstract

We propose a novel model which extends the Standard Model (SM) by introducing a $SU(2)_D$ gauge symmetry. In this model, a dark $SU(2)_D$ Higgs doublet and a Higgs bi-doublet can contribute to the muon $g-2$ anomaly and the $W$ boson mass, remaining in tune with the recent experimental results. At the same time, the isospin charged gauge boson of $SU(2)_D$ 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.