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arXiv · 2507.23510

A Novel On-Shell Recursive Relation

Humberto Gomez
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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.

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Humberto Gomez. 2026-06-23. A Novel On-Shell Recursive Relation. https://doi.org/10.1103/5tkd-2nz1

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