Contribution of the Weinberg-type operator to atomic electric dipole moments

TL;DR

This paper calculates how the Weinberg operator influences atomic electric dipole moments, providing a way to constrain new physics models through experimental EDM data.

Contribution

It introduces a QCD sum rule-based calculation of the Weinberg operator's contribution to atomic EDMs, clarifying its relation to experimental constraints.

Findings

The Weinberg operator significantly affects atomic EDMs.

Constraints on the Weinberg operator are derived from Hg EDM measurements.

The relation between the Weinberg operator and atomic EDMs is quantitatively established.

Abstract

We report the calculation of the isovector CP-odd $\pi N$ interaction generated by the Weinberg operator, the CP violating three-gluon operator. This enables to restrict models which induce the operator by using experimental data of atomic electric dipole moment. The QCD sum rules are used to determine the matrix element required to assess the CP-odd $\pi N$ interactions. The relation between the Weinberg operator and the Hg and Xe EDMs is clarified, and the constraint on the Weinberg operator is obtained using the experimental data for the Hg EDM.