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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 (2019). A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons. Journal of High Energy Physics, 2019(9):119.

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.

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Uncontrolled Keywords:Nuclear and High Energy Physics
Language:English
Date:1 September 2019
Deposited On:16 Oct 2019 14:26
Last Modified:16 Oct 2019 14:27
Publisher:Springer
ISSN:1029-8479
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/jhep09(2019)119

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