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Two-loop five-point massless QCD amplitudes within the IBP approach
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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.
Forward citations
Cited by 2 Pith papers
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Multi-Quark Colour Decompositions from Unitarity
New tree-level colour decompositions for multi-quark QCD amplitudes with arbitrary fixed pair of partons, derived from unitarity factorisation, with explicit closed-form colour factors.
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Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space
The authors build a parallelized Singular and GPI-Space pipeline for integration-by-parts reductions and use it to compute the two-loop nonplanar double-pentagon family analytically up to numerator degree 4.
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