$W$ boson mass and muon $g-2$ in a lepton portal dark matter model

TL;DR

This paper proposes a lepton portal dark matter model with vector-like leptons and scalar dark matter that can simultaneously explain the W boson mass deviation, muon g-2 anomaly, and dark matter density, while evading collider constraints.

Contribution

It introduces a novel lepton portal dark matter model that links the W mass shift, muon g-2, and dark matter, with specific mass degeneracy conditions and collider evasion mechanisms.

Findings

The model can account for the W boson mass deviation.

It explains the muon g-2 discrepancy.

It satisfies dark matter relic density constraints.

Abstract

We study a lepton portal dark matter model, motivated by the deviation of the $W$ boson mass reported by the CDF collaboration. We introduce vector-like leptons and a scalar dark matter (DM) which exclusively couples to the extra leptons and muon. The one-loop corrections induced by the new particles can shift the $W$ boson mass. Besides, the discrepancy in the muon anomalous magnetic moment and the DM density can simultaneously be explained by this setup, if the vector-like lepton is lighter than 200 GeV and nearly degenerate with the DM particle. We also see that the constraints on such a light extra lepton from the collider experiments can be evaded due to the existence of the DM particle.