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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.


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.

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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.
Date accepted:04 August 2016
Date deposited:20 October 2017
Date of first online publication:09 August 2016
Date first made open access:No date available

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