A fake doublet solution to the muon anomalous magnetic moment

TL;DR

This paper proposes a novel fakeon-based extension to the Standard Model using a fake scalar doublet to explain the muon g-2 anomaly, fitting experimental data without conflicting with existing constraints.

Contribution

It introduces a fakeon-based model with a fake scalar doublet that can account for the muon anomalous magnetic moment at low energy scales, avoiding usual experimental bounds.

Findings

Fakeon interactions can explain muon g-2 without contradicting collider bounds.

Fake scalar doublet masses below electroweak scale are viable.

Fakeon approach provides new low-scale physics modeling options.

Abstract

Extensions to the Standard Model that use strictly off-shell degrees of freedom - the fakeons - allow for new measurable interactions at energy scales usually precluded by the constraints that target the on-shell propagation of new particles. Here we employ the interactions between a new fake scalar doublet and the muon to explain the recent Fermilab measurement of its anomalous magnetic moment. Remarkably, unlike in the case of usual particles, the experimental result can be matched for fakeon masses below the electroweak scale without contradicting the stringent precision data and collider bounds on new light degrees of freedom. Our analysis, therefore, demonstrates that the fakeon approach offers unexpected viable possibilities to model new physics naturally at low scales.