# Constraining Dimension-Six Nonminimal Lorentz-Violating Electron--Nucleon Interactions with EDM Physics [CPT'19]

## TL;DR

This paper investigates how dimension-six Lorentz-violating electron--nucleon interactions can induce electric dipole moments in atoms, and sets experimental bounds on these violations using EDM measurements.

## Contribution

It classifies possible Lorentz-violating couplings in electron--nucleon interactions and constrains their magnitudes through EDM experimental data.

## Key findings

- Constraints on Lorentz-violating coefficients at levels of 3.2×10⁻³¹ (eV)⁻² and 1.6×10⁻³³ (eV)⁻².
- Identification of couplings compatible with electric dipole moment physics.
- Analysis of the behavior of Lorentz-violating tensors under C, P, and T transformations.

## Abstract

Electric dipole moments of atoms can arise from P-odd and T-odd electron--nucleon couplings. This work studies a general class of dimension-six electron--nucleon interactions mediated by Lorentz-violating tensors of ranks 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 electric-dipole-moment physics. The unsuppressed contributions of these couplings to the atom's hamiltonian can be read as equivalent to an electric dipole moment. The Lorentz-violating coefficients' magnitudes are limited using electric-dipole-moment measurements at the levels of $3.2\times10^{-31}\text{(eV)}^{-2}$ or $1.6\times10^{-33}\text{(eV)}^{-2}$.