A graphic approach to identities induced from multi-trace Einstein-Yang-Mills amplitudes
High Energy Physics - Theory
2020-05-20 v3
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.
Keywords
Cite
@article{arxiv.1910.04014,
title = {A graphic approach to identities induced from multi-trace Einstein-Yang-Mills amplitudes},
author = {Yi-Jian Du and Linghui Hou},
journal= {arXiv preprint arXiv:1910.04014},
year = {2020}
}
Comments
40 pages, 19 figures,typos corrected, sturecture is adjusted, more discussions are added, published in JHEP