The effects of Lorentz violation on unitarity in $e⁺e⁻ → μ⁺μ⁻$

We investigated two distinct models incorporating LIV with nonminimal coupling in scattering processes of e⁺e⁻ → μ⁺μ⁻. We verified that employing the model with dual electromagnetic tensor (F̃μν) led to violations of unitarity in both vector and axial scenarios. Conversely, utilizing the model with nonminimal coupling with (Fμν) preserved unitarity in both vector and axial cases. Consequently, this could hold promising implications, considering that the nonminimal coupling model with dual electromagnetic tensor F̃μν appeared potentially superior to the electromagnetic tensor Fμν. Hence, we anticipate that these findings might offer a valuable roadmap for further exploration into the investigation of CPT and Lorentz breaking phenomena, with phenomenological implications that are certainly not trivial.