P,T-Odd Interactions in Atomic ${}^{129}$Xe and Phenomenological Applications

TL;DR

This paper calculates interaction constants for ext{P,T}-odd interactions in ${}^{129}$Xe using relativistic many-body theory, providing essential data to connect experimental measurements with new physics models beyond the Standard Model.

Contribution

First calculation of interaction constants for ext{P,T}-odd scalar-pseudoscalar interactions in ${}^{129}$Xe, including dynamical electron correlations, aiding fundamental physics research.

Findings

Calculated $ ext{C}_S$ and $ ext{C}_T$ interaction constants with uncertainties.

Provided data to relate experimental EDM measurements to new physics parameters.

Discussed implications for phenomenological models and future experiments.

Abstract

We calculate interaction constants for the contributions from \PT-odd scalar-pseudoscalar and tensor-pseudotensor operators to the electric dipole moment of ${}^{129}$Xe, for the first time in case of the former, using relativistic many-body theory including the effects of dynamical electron correlations. These interaction constants are necessary ingredients to relating the corresponding measurements to fundamental parameters in models of physics beyond the Standard Model. We obtain $\alpha_{C_S} = \left( 0.71 \pm 0.18 \right) [10^{-23}\, e~\text{cm}]$ and $\alpha_{C_T}= \left( 0.520 \pm 0.049 \right) [10^{-20}\, \left<\Sigma\right>_{\text{Xe}}\, e~\text{cm}]$, respectively. We apply our results to test a phenomenological relation between the two quantities, commonly used in the literature, and discuss their present and future phenomenological impact.