Note on graph-based BCJ relation for Berends-Giele currents
High Energy Physics - Theory
2022-12-28 v3
Abstract
Graph-based Bern-Carasso-Johansson (BCJ) relation for Berends-Giele currents in bi-adjoint scalar (BS) theory, which is characterized by connected tree graphs, was proposed in an earlier work. In this note, we provide a systematic study of this relation. We first prove the relations based on two special types of graphs: simple chains and star graphs. The general graph-based BCJ relation established by an arbitrary tree graph is further proved, through Berends-Giele recursion. When combined with proper off-shell extended numerators, this relation induces the graph-based BCJ relation for Berends-Giele currents in Yang-Mills theory. The corresponding relations for amplitudes are obtained via on-shell limits.
Cite
@article{arxiv.2207.02374,
title = {Note on graph-based BCJ relation for Berends-Giele currents},
author = {Yi-Jian Du and Konglong Wu},
journal= {arXiv preprint arXiv:2207.02374},
year = {2022}
}
Comments
revised version