Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter

2026/07/27 by Abigail R. Chriss, Mia Karlsson, Stephen G. Naculich
#hep-th #hep-ph

paper · pdf

Abstract

Bern-Carrasco-Johansson relations are helicity-independent constraints among the partial amplitudes of tree-level processes containing gluons and possibly also matter fields. They are a consequence of color-kinematic duality, but alternatively can be derived using the color-factor symmetry of tree-level amplitudes. We use recursive perturbiner methods to present a general, streamlined proof of the color-factor symmetry of all tree-level amplitudes containing an arbitrary number of fundamental spin-zero or spin-one-half matter fields and at least one gluon.

Citations

• The bi-adjoint scalar ℓ-loop planar integrand recursion and graded inverse variables
• The Schwarzschild Black Hole from Perturbation Theory to all Orders
• Binary Black Holes and Quantum Off-Shell Recursion
• The Duality Between Color and Kinematics and its Applications
• Color-factor symmetry and BCJ relations for QCD amplitudes
• Proof of the fundamental BCJ relations for QCD amplitudes
• Dyck Words and Multi-Quark Primitive Amplitudes
• Perturbative Gravity and Gauge Theory Relations -- A Review
• Open & Closed vs. Pure Open String Disk Amplitudes

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