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A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons

Hartanto, Heribertus Bayu; Badger, Simon; Brønnum-Hansen, Christian; Peraro, Tiziano

A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons Thumbnail


Authors

Heribertus Bayu Hartanto

Christian Brønnum-Hansen

Tiziano Peraro



Abstract

We present the first numerical results for the two-loop helicity amplitudes for the scattering of four partons and a W-boson in QCD. We use a finite field sampling method to reduce directly from Feynman diagrams to the coefficients of a set of master integrals after applying integration-by-parts identities. Since the basis of master integrals is not yet fully known analytically, we identify a set of master integrals with a simple divergence structure using local numerator insertions. This allows for accurate numerical evaluation of the amplitude using sector decomposition methods.

Citation

Hartanto, H. B., Badger, S., Brønnum-Hansen, C., & Peraro, T. (2019). A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons. Journal of High Energy Physics, 2019(9), Article 119. https://doi.org/10.1007/jhep09%282019%29119

Journal Article Type Article
Acceptance Date Aug 29, 2019
Online Publication Date Sep 16, 2019
Publication Date Sep 30, 2019
Deposit Date Oct 11, 2019
Publicly Available Date Oct 31, 2019
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2019
Issue 9
Article Number 119
DOI https://doi.org/10.1007/jhep09%282019%29119

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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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