Electric dipole moment of $^{199}$Hg atom from P, CP-odd electron-nucleon interaction

TL;DR

This paper calculates the electric dipole moment of the $^{199}$Hg atom considering P, CP-odd electron-nucleon interactions, providing insights into nuclear spin contributions and constraining CP-violating phases in various particle physics models.

Contribution

It introduces a nuclear shell model calculation of the $^{199}$Hg atom's EDM and derives constraints on CP phases in beyond Standard Model theories from experimental data.

Findings

Neutron spin matrix element of $^{199}$Hg is approximately -0.4.

Dominant configuration involves $p_{1/2}$ orbital neutron.

Constraints on CP phases of Higgs, SUSY, and leptoquark models.

Abstract

We calculate the effect of the P, CP-odd electron-nucleon interaction on the electric dipole moment of the $^{199}$Hg atom by evaluating the nuclear spin matrix elements in terms of the nuclear shell model. It is found that the neutron spin matrix element of the $^{199}$Hg nucleus is $\langle \Psi |\, \sigma_{nz} | \Psi \rangle \approx -0.4$ with a dominant configuration of $p_{1/2}$ orbital neutron. We also derive constraints on the CP phases of Higgs-doublet models, supersymmetric models, and leptoquark models from the latest experimental limit $|d_{\rm Hg}| < 7.4 \times 10^{-30}e$ cm.