Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations

Christian Reuschle; Stefan Weinzierl

Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations

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arxiv 1310.0413 v3 pith:RMDV7VMP submitted 2013-10-01 hep-ph hep-th

Christian Reuschle , Stefan Weinzierl This is my paper · ORCID

classification hep-phhep-th

keywords amplitudesdecompositionlevelmethodone-loopprimitiverelationsshuffle

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We present the decomposition of QCD partial amplitudes into primitive amplitudes at one-loop level and tree level for arbitrary numbers of quarks and gluons. Our method is based on shuffle relations. This method is purely combinatorial and does not require the inversion of a system of linear equations.

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Multi-Quark Colour Decompositions from Unitarity
hep-ph 2019-08 accept novelty 8.0 of 10

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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