R-parity violating supersymmetric Barr-Zee type contributions to the fermion electric dipole moment with weak gauge boson exchange

TL;DR

This paper investigates how R-parity violating interactions in supersymmetry contribute to fermion electric dipole moments via two-loop Barr-Zee diagrams involving weak gauge bosons, providing new bounds on these couplings.

Contribution

It presents the first detailed analysis of W and Z boson exchange contributions to fermion EDMs in R-parity violating SUSY at two loops, deriving updated experimental bounds.

Findings

W and Z exchange contributions are comparable to photon exchange contributions.

New upper bounds on the imaginary parts of R-parity violating couplings.

Analysis excludes bilinear R-parity violating effects.

Abstract

The contribution of the R-parity violating trilinear couplings in the supersymmetric model to the fermion electric dipole moment is analyzed at the two-loop level. We show that in general, the Barr-Zee type contribution to the fermion electric dipole moment with the exchange of W and Z bosons is not small compared to the currently known photon exchange one with R-parity violating interactions. We will then give new upper bounds on the imaginary parts of R-parity violating couplings from the experimental data of the electric dipole moments of the electron and of the neutron. The effect due to bilinear R-parity violating couplings, which needs to be investigated separately, is not included in our analyses.