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Extracting analytical one-loop amplitudes from numerical evaluations

Laurentis, Giuseppe De; Maitre, Daniel

Extracting analytical one-loop amplitudes from numerical evaluations Thumbnail


Authors

Giuseppe De Laurentis



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.

Citation

Laurentis, G. D., & Maitre, D. (2019). Extracting analytical one-loop amplitudes from numerical evaluations. Journal of High Energy Physics, 7, Article 123. https://doi.org/10.1007/jhep07%282019%29123

Journal Article Type Article
Acceptance Date Jun 30, 2019
Online Publication Date Jul 22, 2019
Publication Date Jul 22, 2019
Deposit Date Jul 1, 2019
Publicly Available Date Aug 1, 2019
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 7
Article Number 123
DOI https://doi.org/10.1007/jhep07%282019%29123
Related Public URLs http://arxiv.org/abs/arXiv:1904.04067

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Published Journal Article (307 Kb)
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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright 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.





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