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Extracting analytical one-loop amplitudes from numerical evaluations.

Laurentis, Giuseppe De and Maitre, Daniel (2019) 'Extracting analytical one-loop amplitudes from numerical evaluations.', Journal of high energy physics., 7 . p. 123.

Abstract

In this article we present a method to generate analytic expressions for the integral coefficients of loop amplitudes using numerical evaluations only. We use highprecision arithmetics to explore the singularity structure of the coefficients and decompose them into parts of manageable complexity. To illustrate the usability of our method we provide analytical expressions for all helicity configurations of the colour-ordered six-point gluon amplitudes at one loop with a gluon in the loop.

Item Type:Article
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Available under License - Creative Commons Attribution.
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP07(2019)123
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:30 June 2019
Date deposited:01 August 2019
Date of first online publication:22 July 2019
Date first made open access:No date available

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