Unitarity implications of $\tilde{F}_{\mu\nu}$ and $F_{\mu\nu}$ models with LIV in $e^{+}e^{-} \rightarrow \mu^{+}\mu^{-}$

Autor: Celeste, Alessio T. B., Santos, Adriano M.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv