Constraints on Lorentz violation parameter through electric dipole moments

The electric dipole moments of leptons (l-EDMs) could arise from the electrodynamics part of standard model extension (SME). In this work, we investigate the cross section of electron-positron collision in the Lorentz violation (LV) background via the l-EDMs. We find that the Lorentz violation parameter magnitudes constraint using LEP data to the level of |dᵉLV| < 3.6 × 10⁻¹⁷ | d LV e | < 3.6 × 10 - 17 , |dμLV|< 9.5 × 10⁻¹⁰ | d LV μ | < 9.5 × 10 - 10 , and |dτLV|< 1.5 × 10⁻⁶ | d LV τ | < 1.5 × 10 - 6 for electron, muon, and tau, respectively. Moreover, we show the time-location dependence of muon-EDMs and tau-EDMs in the LV background. Therefore, upper bounds for combinations of LV parameters are obtained by current and future terrestrial experiments.