CP Violation and the Muon Anomaly in N=1 Supergravity

TL;DR

This paper calculates the one-loop supersymmetric electroweak correction to the muon's anomalous magnetic moment within N=1 supergravity, considering CP violation effects and their potential to match or exceed Standard Model predictions, relevant for upcoming experiments.

Contribution

It introduces a detailed analysis of CP violating phases' impact on the muon g-2 in minimal supergravity models, including numerical results consistent with experimental constraints.

Findings

CP phases can significantly alter the supersymmetric correction to g-2.

The correction can be as large or larger than the Standard Model value.

Results are relevant for upcoming high-precision g-2 measurements.

Abstract

The one loop supersymmetric electro-weak correction to the anomalous magnetic moment of the muon is derived in the minimal N=1 supergravity unification with two CP violating phases. A numerical analysis of the CP violating effects on $g_{\mu}-2$ is carried out with the cancellation mechanism to guarantee the satisfaction of the experimental limits on the electric dipole moments of the electron and on the neutron. It is found that the effects of the CP phases can significantly affect the supersymmetric electro-weak correction to $g_{\mu}-2$, and that the numerical size of such a correction can be as large or larger than the Standard Model electro-weak correction to $g_{\mu}-2$. These results are of import for the new Brookhaven experiment which is expected to increase the sensitivity of the $g_{\mu}-2$ measurements by a factor of 20 and allow for a test of the electro-weak correction in the near future.