Local integrands for two-loop all-plus Yang-Mills amplitudes

Badger, Simon; Mogull, Gustav; Peraro, Tiziano

doi:10.1007/jhep08(2016)063

Local integrands for two-loop all-plus Yang-Mills amplitudes

Badger, Simon; Mogull, Gustav; Peraro, Tiziano

Authors

Dr Simon Badger simon.d.badger@durham.ac.uk
Visiting Professor

Gustav Mogull

Tiziano Peraro

Abstract

We express the planar five- and six-gluon two-loop Yang-Mills amplitudes with all positive helicities in compact analytic form using D-dimensional local integrands that are free of spurious singularities. The integrand is fixed from on-shell tree amplitudes in six dimensions using D-dimensional generalised unitarity cuts. The resulting expressions are shown to have manifest infrared behaviour at the integrand level. We also find simple representations of the rational terms obtained after integration in 4 − 2ϵ dimensions.

Citation

Badger, S., Mogull, G., & Peraro, T. (2016). Local integrands for two-loop all-plus Yang-Mills amplitudes. Journal of High Energy Physics, 2016(8), Article 63. https://doi.org/10.1007/jhep08%282016%29063

Journal Article Type	Article
Acceptance Date	Aug 4, 2016
Online Publication Date	Aug 9, 2016
Publication Date	Aug 9, 2016
Deposit Date	Oct 19, 2017
Publicly Available Date	Oct 20, 2017
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2016
Issue	8
Article Number	63
DOI	https://doi.org/10.1007/jhep08%282016%29063
Related Public URLs	https://arxiv.org/abs/1607.00311

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