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A unitarity compatible approach to one-loop amplitudes with massive fermions

Badger, Simon; Brønnum-Hansen, Christian; Buciuni, Francesco; O’Connell, Donal

A unitarity compatible approach to one-loop amplitudes with massive fermions Thumbnail


Authors

Christian Brønnum-Hansen

Francesco Buciuni

Donal O’Connell



Abstract

We explain how one-loop amplitudes with massive fermions can be computed using only on-shell information. We first use the spinor-helicity formalism in six dimensions to perform generalised unitarity cuts in d dimensions. We then show that divergent wave-function cuts can be avoided, and the remaining ambiguities in the renormalised amplitudes can be fixed, by matching to universal infrared poles in 4 − 2ϵ dimensions and ultraviolet poles in 6 − 2ϵ dimensions. In the latter case we construct an effective Lagrangian in six dimensions and reduce the additional constraint to an on-shell tree-level computation.

Citation

Badger, S., Brønnum-Hansen, C., Buciuni, F., & O’Connell, D. (2017). A unitarity compatible approach to one-loop amplitudes with massive fermions. Journal of High Energy Physics, 2017(6), Article 141. https://doi.org/10.1007/jhep06%282017%29141

Journal Article Type Article
Acceptance Date Jun 20, 2017
Online Publication Date Jun 27, 2017
Publication Date Jun 27, 2017
Deposit Date Jul 25, 2017
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2017
Issue 6
Article Number 141
DOI https://doi.org/10.1007/jhep06%282017%29141

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons
Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in
any medium, provided the original author(s) and source are credited.





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