Tree and $1$-loop fundamental BCJ relations from soft theorems
High Energy Physics - Theory
2026-05-05 v1
Abstract
We provide a new derivation of the fundamental BCJ relation among double color ordered tree amplitudes of bi-adjoint scalar theory, based on the leading soft theorem for external scalars. Then, we generalize the fundamental BCJ relation to -loop Feynman integrands. We also use the fundamental BCJ relation to understand the Adler's zero for tree amplitudes of non-linear Sigma model and Born-Infeld theories.
Keywords
Cite
@article{arxiv.2305.04620,
title = {Tree and $1$-loop fundamental BCJ relations from soft theorems},
author = {Fang-Stars Wei and Kang Zhou},
journal= {arXiv preprint arXiv:2305.04620},
year = {2026}
}
Comments
24 pages, 4 figures