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Novel on-shell recursive relation

Humberto Gomez

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Phys. Rev. D 114, 026019 – Published 13 July, 2026

DOI: https://doi.org/10.1103/5tkd-2nz1

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 Cachazo-He-Yuan factorization formulas, we identify a suitable set of independent kinematic variables that enables the reconstruction of amputated currents from amplitudes. As a by-product, this new recursive structure recasts the Bern-Carrasco- Johansson numerators into an explicitly on-shell factorized form.

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References (28)

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Phys. Rev. D 114, 026019– Published 13 July, 2026
  • Received 5 August 2025
  • Accepted 23 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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