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

Badger, Simon and Mogull, Gustav and Peraro, Tiziano (2016) 'Local integrands for two-loop all-plus Yang-Mills amplitudes.', Journal of high energy physics., 2016 (8). 063.

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.

Item Type:Article
Full text:(VoR) Version of Record
First Live Deposit - 20 October 2017
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP08(2016)063
Publisher 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.
Record Created:19 Oct 2017 16:43
Last Modified:20 Oct 2017 13:14

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