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

Alessio T. B. Celeste; Adriano M. Santos

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arXiv · 2404.18157

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

Alessio T. B. Celeste·Adriano M. Santos

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Abstract

We studied two different models that included Lorentz Invariance Violation coupling in the scattering processes of $e^+e^- \rightarrow μ^+μ^-$. We found that using the model with the dual electromagnetic tensor $\tilde{F}_{μν}$ resulted in violations of unitarity in both vector and axial scenarios. On the other hand, using the model with nonminimal coupling with $F_{μν}$ 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 $\tilde{F}_{μν}$ appeared to be potentially superior to the electromagnetic tensor $F_{μν}$. 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.

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Alessio T. B. Celeste, Adriano M. Santos. 2025-01-16. Unitarity implications of $\tilde{F}_{μν}$ and $F_{μν}$ models with LIV in $e^{+}e^{-} \rightarrow μ^{+}μ^{-}$. https://arxiv.org/abs/2404.18157

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