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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Brown, R.W., Naculich, S.G. Color-factor symmetry and BCJ relations for QCD amplitudes. J. High Energ. Phys. 2016, 60 (2016). https://doi.org/10.1007/JHEP11(2016)060
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DOI: https://doi.org/10.1007/JHEP11(2016)060