P,T -odd interactions in atomic Xe129 and phenomenological applications

Abstract

We calculate interaction constants for the contributions from $\mathcal{P},\mathcal{T}$-odd scalar-pseudoscalar and tensor-pseudotensor operators to the electric dipole moment of $^{129}\mathrm{Xe}$ 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 ${\ensuremath{\alpha}}_{{C}_{S}}=\left(0.71\ifmmode\pm\else\textpm\fi{}0.18\right)({10}^{\ensuremath{-}23}\phantom{\rule{0.16em}{0ex}}e\phantom{\rule{3.33333pt}{0ex}}\text{cm})$ and ${\ensuremath{\alpha}}_{{C}_{T}}=\left(0.520\ifmmode\pm\else\textpm\fi{}0.049\right)({10}^{\ensuremath{-}20}\phantom{\rule{0.16em}{0ex}}{\ensuremath{\langle}\mathrm{\ensuremath{\Sigma}}\ensuremath{\rangle}}_{\text{Xe}}\phantom{\rule{0.16em}{0ex}}e\phantom{\rule{3.33333pt}{0ex}}\text{cm})$, 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.