Extracting analytical one-loop amplitudes from numerical evaluations

Laurentis, Giuseppe De; Maitre, Daniel

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1327762
• Related Public URLs: http://arxiv.org/abs/arXiv:1904.04067