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

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

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: Jan 31, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1309103