Color ordering in QCD

Abstract

We derive color decompositions of arbitrary tree and one-loop QCD amplitudes into color ordered objects called primitive amplitudes. Furthermore, we derive general fermion flip and reversion identities spanning the null space among the primitive amplitudes and use them to prove that all color ordered tree amplitudes of massless QCD can be written as linear combinations of color ordered tree amplitudes of $\mathcal{N}=4$ super Yang-Mills theory.

45 pages, 11 figures

References in corpus (4)

• All tree-level amplitudes in massless QCD
• Next-to-leading order QCD corrections to five jet production at the LHC
• One-loop amplitudes for W+3 jet production in hadron collisions
• Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations

Cited by in corpus (10)

• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• Multi-Quark Colour Decompositions from Unitarity
• Connected formulas for amplitudes in standard model
• Numerical integration of subtraction terms
• Double-Soft Limits of Gluons and Gravitons
• 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
• General ordering theorem
• Relations and representations of QCD amplitudes