Proof of a new colour decomposition for QCD amplitudes

Abstract

Recently, Johansson and Ochirov conjectured the form of a new colour decomposition for QCD tree-level amplitudes. This note provides a proof of that conjecture. The proof is based on "Mario World" Feynman diagrams, which exhibit the hierarchical Dyck structure previously found to be very useful when dealing with multi-quark amplitudes.

10 pages, 3 figures, v2=JHEP

References in corpus (3)

• New Relations for Gauge-Theory Amplitudes
• Pure Gravities via Color-Kinematics Duality for Fundamental Matter
• Getting more flavour out of one-flavour QCD

Cited by in corpus (14)

• On the Double Copy for Spinning Matter
• Scattering Amplitudes in Quantum Field Theory
• Multi-Quark Colour Decompositions from Unitarity
• Full Colour for Loop Amplitudes in Yang-Mills Theory
• The role of colour flows in matrix element computations and Monte Carlo simulations
• KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry
• The $L_{\infty }$ structure of gauge theories with matter
• Recursion relations for scattering amplitudes with massive particles
• A Portable Parton-Level Event Generator for the High-Luminosity LHC
• BCJ relations from a new symmetry of gauge-theory amplitudes
• All-multiplicity amplitudes with four massive quarks and identical-helicity gluons
• Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
• Recursion relations for scattering amplitudes with massive particles II: massive vector bosons
• Color-factor symmetry and BCJ relations for QCD amplitudes