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 $1.6\times10^{-15} \text{(GeV)}^{-2}$.
Highlights
Electric dipole moments (EDMs) are excellent probes for violation of discrete symmetries [1,2,3,4] and of physics beyond the standard model (SM) [5,6]
We investigate a class of dimension-6 and Lorentz-violating e-N couplings, composed by rank-1, rank-2, rank-3, and rank-4 background tensors, and the possible generation of atomic EDM
III, we examine the Hamiltonians corresponding to unsuppressed EDM couplings, and their respective energy shifts are estimated and limited using the current experimental data
Summary
Electric dipole moments (EDMs) are excellent probes for violation of discrete symmetries [1,2,3,4] and of physics beyond the standard model (SM) [5,6]. Electron EDM experimental data has yielded upper bounds as tight as 10−25 ðeVÞ−1 on the magnitude of these couplings Looking at another route, nuclear EDMs may be connected with LV physics. We investigate a class of dimension-6 and Lorentz-violating e-N couplings, composed by rank-1, rank-2, rank-3, and rank-4 background tensors, and the possible generation of atomic EDM. These couplings were first proposed in a recent generalization of gauge theories with LV operators of arbitrary dimension [65], which contains nonminimal couplings of dimensions ranging from 5 to 8.
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