Abstract
Symmetries of Einstein-Yang-Mills (EYM) amplitudes, together with the recursive expansions, induce nontrivial identities for pure Yang-Mills amplitudes. In the previous work [1], we have already proven that the identities induced from tree level single-trace EYM amplitudes can be precisely expanded in terms of BCJ relations. In this paper, we extend the discussions to those identities induced from all tree level multi-trace EYM amplitudes. Particularly, we establish a refined graphic rule for multi-trace EYM amplitudes and then show that the induced identities can be fully decomposed in terms of BCJ relations.
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Du, YJ., Hou, L. A graphic approach to identities induced from multi-trace Einstein-Yang-Mills amplitudes. J. High Energ. Phys. 2020, 8 (2020). https://doi.org/10.1007/JHEP05(2020)008
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DOI: https://doi.org/10.1007/JHEP05(2020)008