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

Author:

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

Abstract

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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Reference95 articles.

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