Unitarity implications of Fμν and Fμν models with Lorentzinvariance violation in e+e-→μ+μ-

We studied two different models that included Lorentz Invariance Violation coupling in the scattering processes of e(+)e(-)->mu(+)mu(-). We found that using the model with the dual electromagnetic tensor F-mu nu resulted in violations of unitarity in both vector and axial scenarios. On the other hand, using the model with nonminimal coupling with F-mu nu preserved unitarity in both vector and axial cases. As a result, this could have significant implications, given that the nonminimal coupling model with the dual electromagnetic tensor F-mu nu appeared to be potentially superior to the electromagnetic tensor F mu nu. Therefore, we believe that these findings could provide a valuable guide for further exploration into the study of CPT and Lorentz breaking phenomena, with significant implications that are certainly nontrivial.