A graphic approach to identities induced from multi-trace Einstein-Yang-Mills amplitudes
arXiv:1910.04014 · doi:10.1007/JHEP05(2020)008
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 \cite{Hou:2018bwm}, 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 \emph{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.
arXiv comment40 pages, 19 figures,typos corrected, sturecture is adjusted, more discussions are added, published in JHEP
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Cited by in corpus (7)
- Off-shell extended graphic rule and the expansion of Berends-Giele currents in Yang-Mills theory
- Evaluating EYM amplitudes in four dimensions by refined graphic expansion
- Constructing EYM amplitudes by inverse soft limit
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