Updated Constraints from Electric Dipole Moments in the MSSM with R-Parity Violation

TL;DR

This paper recalculates the two-loop contributions to quark and lepton EDMs in the MSSM with R-parity violation, providing updated constraints on RPV couplings and identifying a testable correlation between proton and neutron EDMs.

Contribution

It offers a comprehensive independent recalculation of Barr-Zee type diagrams in RPV MSSM, clarifies subtleties, and derives new experimental constraints and correlations.

Findings

Updated bounds on RPV couplings from EDM measurements

Confirmation of previous analytic results with independent calculations

Identification of a testable proton-neutron EDM correlation

Abstract

We revisit the electric dipole moments (EDMs) of quarks and leptons in the Minimal Supersymmetric Standard Model (MSSM) with trilinear $R$-parity violation (RPV). In this framework, EDMs are induced at the two-loop level via RPV interactions. We perform a comprehensive recalculation of several classes of Barr-Zee type diagrams in a general $R_\xi$ gauge. While we find general agreement with previous analytic results in the literature, our work provides a valuable independent cross-check of the complicated calculations. We also point out some subtleties in the intermediate steps and in the choice of the flavor basis for the numerical evaluation of the expressions. By confronting the theoretical predictions with the latest experimental limits on EDMs, we derive updated constraints on combinations of RPV couplings. We highlight an approximate, testable correlation between the proton and neutron EDM that emerges within the considered class of RPV models, offering a distinctive signature for future EDM experiments.