Electric Dipole Moments in the MSSM Reloaded

TL;DR

This paper provides a comprehensive analysis of electric dipole moments within the CP-violating MSSM, including complete one-loop and two-loop contributions, and explores the impact of various CP-violating scenarios on EDM constraints.

Contribution

It advances previous calculations by incorporating resummation effects and threshold corrections, offering detailed analytic expressions and an updated computational tool.

Findings

Cancellations among CP-violating contributions can occur, affecting EDM constraints.

Large CP-violating phases may still be compatible with experimental EDM limits.

The study constrains parameter spaces of specific MSSM scenarios.

Abstract

We present a detailed study of the Thallium, neutron, Mercury and deuteron electric dipole moments (EDMs) in the CP-violating Minimal Supersymmetric extension of the Standard Model (MSSM). We take into account the complete set of one-loop graphs, the dominant Higgs-mediated two-loop diagrams, the complete CP-odd dimension-six Weinberg operator and the Higgs-mediated four-fermion operators. We improve upon earlier calculations by including the resummation effects due to CP-violating Higgs-boson mixing and to threshold corrections to the Yukawa couplings of all up- and down-type quarks and charged leptons. As an application of our study, we analyse the EDM constraints on the CPX, trimixing and Maximally CP- and Minimally Flavour-Violating (MCPMFV) scenarios. Cancellations may occur among the CP-violating contributions to the three measured EDMs arising from the 6 CP-violating phases in the MCPMFV scenario, leaving open the possibility of relatively large contributions to other CP-violating observables. The analytic expressions for the EDMs are implemented in an updated version of the code CPsuperH2.0.