A Novel On-Shell Recursive Relation
High Energy Physics - Theory
2026-03-03 v3 Mathematical Physics
math.MP
Abstract
We present a novel framework for deriving on-shell recursion relations, with a specific focus on biadjoint and pure Yang-Mills theories. Starting from the double-cover CHY factorization formulae, we identify a suitable set of independent kinematic variables that enables the reconstruction of amputated currents from amplitudes. As a byproduct, this new recursive structure recasts the BCJ numerators into an explicitly on-shell factorized form.
Cite
@article{arxiv.2507.23510,
title = {A Novel On-Shell Recursive Relation},
author = {Humberto Gomez},
journal= {arXiv preprint arXiv:2507.23510},
year = {2026}
}
Comments
11 pages. A new section was added and several explanations were expanded. Some typos were fixed, and some details were improved