Electric dipole moments at one-loop in the dimension-6 SMEFT

TL;DR

This paper provides comprehensive one-loop level expressions for lepton and neutron EDMs within the SMEFT framework, including RG effects and finite corrections, and assesses experimental bounds on related Wilson coefficients.

Contribution

It offers the first complete one-loop, dimension-6 SMEFT expressions for EDMs, incorporating finite corrections and RG effects, with updated bounds from current and future experiments.

Findings

Finite corrections can contribute up to 20% of the total EDM at 5 TeV scale.

Current experimental bounds constrain individual Wilson coefficients significantly.

Future experiments could improve sensitivity by an order of magnitude.

Abstract

In this paper we present the complete expressions of the lepton and neutron electric dipole moments (EDMs) in the Standard Model Effective Field Theory (SMEFT), up to 1-loop and dimension-6 level and including both RG running contributions and finite corrections. The latter play a fundamental role in the cases of operators that do not renormalize the dipoles, but there are also classes of operators for which they provide an important fraction, $10-20\%$, of the total 1-loop contribution, if the new physics scale is around $\Lambda=5$ TeV. We present the full set of bounds on each individual Wilson coefficient contributing to the EDMs using both the current experimental constraints, as well as those from future experiments, which are expected to improve by at least an order of magnitude.