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.

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

Simon Badger;
2019

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.
JOURNAL OF HIGH ENERGY PHYSICS
119
143
http://arxiv.org/abs/1906.11862v1
High Energy Physics - Phenomenology; High Energy Physics - Phenomenology; High Energy Physics - Theory
Heribertus Bayu Hartanto; Simon Badger; Christian Brønnum-Hansen; Tiziano Peraro
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/1770882
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