Electric and anomalous magnetic dipole moments of the muon in the MSSM

TL;DR

This paper analyzes the muon's electric and magnetic dipole moments within the CP-violating MSSM, incorporating higher-order corrections and Higgs mixing effects, and provides updated computational tools for these calculations.

Contribution

It introduces improved calculations of muon EDM and MDM in the MSSM, including CP-violating effects, and updates the CPsuperH code with these analytic expressions.

Findings

Explicit correlation between muon EDM and MDM at one- and two-loop levels.

Dependence of EDM and MDM on dominant CP-violating contributions.

Implementation of formulas in an updated public code CPsuperH2.0.

Abstract

We study the electric dipole moment (EDM) and the anomalous magnetic dipole moment (MDM) of the muon in the CP-violating Minimal Supersymmetric extension of the Standard Model (MSSM). We take into account the contributions from the chargino- and neutralino-mediated one-loop graphs and the dominant two-loop Higgs-mediated Barr-Zee diagrams. We improve earlier calculations by incorporating CP-violating Higgs-boson mixing effects and the resummed threshold corrections to the Yukawa couplings of the charged leptons as well as that of the bottom quark. The analytic correlation between the muon EDM and MDM is explicitly presented at one- and two-loop levels and, through several numerical examples, we illustrate its dependence on the source of the dominant contributions. We have implemented the analytic expressions for the muon EDM and MDM in an updated version of the public code CPsuperH2.0.