Color-factor symmetry and BCJ relations for QCD amplitudes

2016/08/18 by Robert W. Brown, Brown, Robert W., Stephen Naculich +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1608.05291

Abstract

Tree-level n-point gauge-theory amplitudes with n-2k gluons and k pairs of (massless or massive) particles in the fundamental (or other) representation of the gauge group are invariant under a set of symmetries that act as momentum-dependent shifts on the color factors in the cubic decomposition of the amplitude. These symmetries lead to gauge-invariant constraints on the kinematic numerators. They also directly imply the BCJ relations among the Melia-basis primitive amplitudes previously obtained by Johansson and Ochirov.

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

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