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

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1318277