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Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case

Badger, Simon; Brønnum-Hansen, Christian; Hartanto, Heribertus Bayu; Peraro, Tiziano

Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case Thumbnail


Authors

Christian Brønnum-Hansen

Heribertus Bayu Hartanto

Tiziano Peraro



Abstract

We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations over finite fields. The numerical method combines integrand reduction, integration-by-parts identities and Laurent expansion into a basis of pentagon functions to compute the coefficients directly from six-dimensional generalised unitarity cuts.

Citation

Badger, S., Brønnum-Hansen, C., Hartanto, H. B., & Peraro, T. (2019). Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case. Journal of High Energy Physics, 2019(1), Article 186. https://doi.org/10.1007/jhep01%282019%29186

Journal Article Type Article
Acceptance Date Jan 17, 2019
Online Publication Date Jan 24, 2019
Publication Date Jan 24, 2019
Deposit Date Jan 31, 2019
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 2019
Issue 1
Article Number 186
DOI https://doi.org/10.1007/jhep01%282019%29186

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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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