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Two-loop five-point massless QCD amplitudes within the IBP approach

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arxiv 1805.09182 v2 pith:NJTZDUJQ submitted 2018-05-23 hep-ph hep-th

Two-loop five-point massless QCD amplitudes within the IBP approach

classification hep-ph hep-th
keywords five-pointmasslesstwo-loopamplitudesidentitiesnon-planarresultsscales
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We solve the integration-by-parts (IBP) identities needed for the computation of any planar two-loop five-point massless amplitude in QCD. We also derive some new results for the most complicated non-planar topology with irreducible numerators of power as high as six. We do this by applying a new strategy for solving the IBP identities which scales better for problems with a large number of scales and/or master integrals. Our results are a proof of principle that the remaining non-planar contributions for all two-loop five-point massless QCD amplitudes can be computed in analytic form.

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

    hep-ph 2019-06 unverdicted novelty 7.0

    First numerical evaluation of planar two-loop helicity amplitudes for W-boson plus four partons using finite-field reduction and sector decomposition on a subset of master integrals.