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Divergences in the effective loop interaction of the Chern-Simons bosons with leptons. The unitary gauge case

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arxiv 2405.00164 v3 pith:LRM5IJKQ submitted 2024-04-30 hep-ph

Yuliia Borysenkova , Volodymyr Gorkavenko , Ivan Hrynchak , Oleksandr Khasai , Mariia Tsarenkova This is my paper · ORCID
classification hep-ph
keywords interactionbosonschern-simonsloopconsidereffectiveleptonsvector
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In this paper, we consider the extension of the Standard Model with Chern-Simons type interaction. There is a new vector massive boson (Chern-Simons bosons) in this extension. Using only three-particle dimension-4 interaction of the Chern-Simons bosons with vector bosons of the SM, we consider effective loop interaction of a new vector boson with leptons. We consider the renormalizability of this loop interaction and conclude that for the case of computation of loop diagrams in the unitary gauge, we can not get rid of the divergences in the effective interaction of the Chern-Simons bosons with leptons.

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