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Color-flow decomposition of QCD amplitudes

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arxiv hep-ph/0209271 v2 pith:PYBJBZ4K submitted 2002-09-23 hep-ph

classification hep-ph
keywords decompositionamplitudescolorcolor-flowfundamental-representationmanymatricesallows
verification ladder T0 review T1 audit T2 compute T3 formal
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We introduce a new color decomposition for multi-parton amplitudes in QCD, free of fundamental-representation matrices and structure constants. This decomposition has a physical interpretation in terms of the flow of color, which makes it ideal for merging with shower Monte-Carlo programs. The color-flow decomposition allows for very efficient evaluation of amplitudes with many quarks and gluons, many times faster than the standard color decomposition based on fundamental-representation matrices. This will increase the speed of event generators for multi-jet processes, which are the principal backgrounds to signals of new physics at colliders.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 167 citations worldwide. Full citation record

  1. An $N$-independent tensor decomposition for SU($N$)

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A new column-based Littlewood-Richardson algorithm decomposes products of SU(N) representations labeled by Young diagram pairs, valid simultaneously for all N.

  2. All-gluon amplitudes with off-shell recursion in multiplet bases

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A new off-shell recursion in orthogonal multiplet bases computes all-gluon tree-level color-summed squared amplitudes with estimated O(17^n) complexity, beating the factorial scaling of trace and color-flow bases.

  3. The Monte Carlo Ecosystem in High-Energy Physics: A Primer

    hep-ph 2026-05 unverdicted novelty 1.0 of 10

    A primer that surveys the architecture, methodologies, computational challenges, and future trajectory of the Monte Carlo event generator ecosystem in collider physics.

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