Abstract
The fundamental BCJ-relation is a linear relation between primitive tree amplitudes with different cyclic orderings. The cyclic orderings differ by the insertion place of one gluon. The coefficients of the fundamental BCJ-relation are linear in the Lorentz invariants 2p i p j . The BCJ-relations are well established for pure gluonic amplitudes as well as for amplitudes in \( \mathcal{N}=4 \) super-Yang-Mills theory. Recently, it has been conjectured that the BCJ-relations hold also for QCD amplitudes. In this paper we give a proof of this conjecture. The proof is valid for massless and massive quarks.
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ArXiv ePrint: 1508.01432
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de la Cruz, L., Kniss, A. & Weinzierl, S. Proof of the fundamental BCJ relations for QCD amplitudes. J. High Energ. Phys. 2015, 197 (2015). https://doi.org/10.1007/JHEP09(2015)197
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DOI: https://doi.org/10.1007/JHEP09(2015)197