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A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory

Badger, Simon; Mogull, Gustav; Ochirov, Alexander; O’Connell, Donal

A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory Thumbnail


Authors

Gustav Mogull

Alexander Ochirov

Donal O’Connell



Abstract

We compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts, allow us to deduce all the necessary non-planar information for the full-colour amplitude from known planar data. We present our result in terms of irreducible numerators, with colour factors derived from the multi-peripheral colour decomposition. Finally, the leading soft divergences are checked to reproduce the expected infrared behaviour.

Citation

Badger, S., Mogull, G., Ochirov, A., & O’Connell, D. (2015). A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory. Journal of High Energy Physics, 2015(10), Article 64. https://doi.org/10.1007/jhep10%282015%29064

Journal Article Type Article
Acceptance Date Sep 3, 2015
Online Publication Date Oct 9, 2015
Publication Date Oct 9, 2015
Deposit Date Oct 19, 2017
Publicly Available Date Mar 28, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 10
Article Number 64
DOI https://doi.org/10.1007/jhep10%282015%29064
Related Public URLs https://arxiv.org/abs/1507.08797

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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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