Constraining EDM and MDM lepton dimension five interactions in the electroweak sector

Abstract

We investigate dimension five Lorentz-violating nonminimal interactions in the electroweak sector, in connection with the possible generation of electric dipole moment (EDM), weak electric dipole moment (WEDM), magnetic dipole moment (MDM) and weak magnetic dipole moment (WMDM) for leptons. These couplings are composed of the physical fields and LV tensors of ranks ranging from 1 to 4. The CPT-odd couplings do no generate EDM\ behavior and do not provide the correct MDM\ signature, while the CPT-even ones yield EDM and MDM\ behavior, being subject to improved constraining. Tau lepton experimental data is used to constrain the WEDM\ and WMDM couplings to the level of $10^{-4}\left( \text{GeV}\right) ^{-1},$ whereas electron MDM and EDM data is employed to improve constraints to the level of $10^{-17}\left( \text{GeV}\right) ^{-1}$ and $10^{-11}\left( \text{GeV}\right) ^{-1},$ respectively.