  We studied two different models that included LIV coupling in the scattering
processes of \( e^+e^- \rightarrow \mu^+\mu^-\). We found that using the model
with the dual electromagnetic tensor \( \tilde{F}_{\mu\nu} \) 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 \( \tilde{F}_{\mu\nu} \) 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.
