# Accurate Evaluation of $\mathcal{P}$,$\mathcal{T}$-odd Faraday Effect in Atoms of Xe and Hg

## TL;DR

This paper provides precise calculations of the $ ext{P,T}$-odd Faraday effect in Xe and Hg atoms, highlighting Hg as a promising candidate for detecting new physics beyond the Standard Model.

## Contribution

The study offers the first accurate evaluation of the $ ext{P,T}$-odd Faraday effect in Xe and Hg atoms, emphasizing Hg's potential for experimental searches of $ ext{P,T}$-odd interactions.

## Key findings

- Hg atom shows strong potential for $ ext{P,T}$-odd effect detection.
- The effect can be effectively measured using intracavity absorption spectroscopy.
- Results suggest Hg is a promising candidate for new physics searches.

## Abstract

Accurate evaluation of the $\mathcal{P}$,$\mathcal{T}$-odd Faraday effect (rotation of the polarization plane for the light propagating through a medium in presence of an external electric field) is presented. This effect can arise only due to the $\mathcal{P}$,$\mathcal{T}$-odd interactions and is different from the ordinary Faraday effect, i.e. the light polarization plane rotation in an external magnetic field. The rotation angle is evaluated for the ICAS (intracavity absorption spectroscopy) type experiments with Xe and Hg atoms. The results show that Hg atom may become a good candidate for a search for the $\mathcal{P}$,$\mathcal{T}$-odd effects in atomic physics.