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In this letter, we examine a new class of CPT-even nonminimal interactions,between fermions and photons, deprived of higher order derivatives, that yieldselectric dipole moment (EDM) and magnetic dipole moment (MDM) in the context ofthe Dirac equation. The couplings are dimension-five CPT-even andLorentz-violating nonminimal structures, composed of a rank-2 tensor,$T_{\mu\nu}$, the electromagnetic tensor, and gamma matrices, being addressedin its axial and non-axial Hermitian versions, and also comprising generalpossibilities. We then use the electron's anomalous magnetic dipole moment andelectron electric dipole moment measurements to reach upper bounds of $1$ partin $10^{20}$ and $10^{25}$ (eV )$^{-1}$.

General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM