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

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 $3.2\times {10}^{-31}{\text{(eV)}}^{-2}$ or $1.6\times {10}^{-33}{\text{(eV)}}^{-2}$.