A Large Muon EDM from Dark Matter

TL;DR

This paper proposes a dark matter model that simultaneously explains the muon g-2 anomaly and predicts a large muon electric dipole moment, which can be tested by upcoming experiments.

Contribution

It introduces a novel dark matter model linking muon g-2 and EDM, with parameter space predictions for observable muon EDM values.

Findings

Predicted muon EDM of (4-5) x 10^{-22} e cm within experimental reach.

Parameter space consistent with dark matter abundance and muon g-2 anomaly.

Potential to reach muon EDM of order 10^{-21} e cm in future experiments.

Abstract

We explore a model of dark matter (DM) that can explain the reported discrepancy in the muon anomalous magnetic moment and predict a large electric dipole moment (EDM) of the muon. The model contains a DM fermion and new scalars whose exclusive interactions with the muon radiatively generate the observed muon mass. Constraints from DM direct and indirect detection experiments as well as collider searches are safely evaded. The model parameter space that gives the observed DM abundance and explains the muon $g-2$ anomaly leads to the muon EDM of $d_{\mu} \simeq (4$-$5) \times 10^{-22} \, e \, {\rm cm}$ that can be probed by the projected PSI muEDM experiment. Another viable parameter space even achieves $d_{\mu} = \mathcal{O}(10^{-21}) \, e \, {\rm cm}$ reachable by the ongoing Fermilab Muon $g-2$ experiment and the future J-PARC Muon $g-2$/EDM experiment.