Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations
arXiv:1310.0413 · doi:10.1103/PhysRevD.88.105020
Abstract
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.
46 pages, version to be published, v3: eq. 39 corrected
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- Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
- The chirality-flow formalism
- The colour matrix at next-to-leading-colour accuracy for tree-level multi-parton processes
- NLO corrections to Z production in association with several jets
- Improving Colour Computations in MadGraph5_aMC@NLO and Exploring a 1/Nc Expansion
- Fermions and the scattering equations
- 1-loop Color structures and sunny diagrams
- Scattering amplitudes in gauge theories with and without supersymmetry
- Relations and representations of QCD amplitudes