# Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics

## TL;DR

This paper investigates how Lorentz-violating nonminimal electron-nucleon interactions at dimension-6 could contribute to atomic EDMs, constraining their magnitudes using experimental data to test fundamental symmetries.

## Contribution

It classifies possible Lorentz-violating couplings in electron-nucleon interactions and constrains their magnitudes using EDM measurements.

## Key findings

- Constraints on LV coefficients at the level of 3.2×10^{-13} (GeV)^{-2}
- Identification of LV couplings compatible with EDM physics
- Analysis of the behavior of LV couplings under C, P, T transformations

## Abstract

The electric dipole moment (EDM) of an atom could arise also from $P$-odd and $T$-odd electron-nucleon couplings. In this work we investigate a general class of dimension-$6$ electron-nucleon ($e$-$N$) nonminimal interactions mediated by Lorentz-violating (LV) tensors of rank ranging from $1$ to $4$. The possible couplings are listed as well as their behavior under $C$, $P$ and $T$, allowing us to select the couplings compatible with EDM physics. The unsuppressed contributions of these couplings to the atom's Hamiltonian can be read as EDM-equivalent. The LV coefficients' magnitudes are limited using EDM experimental data to the level of $3.2\times 10^{-13} \text{(GeV)}^{-2}$ or $1.6\times10^{-15} \text{(GeV)}^{-2}$.