A Novel On-Shell Recursive Relation

TL;DR

This paper introduces a new on-shell recursive framework derived from CHY formulas, enabling explicit factorization of BCJ numerators in Yang-Mills theories, advancing amplitude computation methods.

Contribution

It develops a novel recursive relation based on double-cover CHY formulas, providing a new way to factorize BCJ numerators on-shell.

Findings

Reconstruction of amputated currents from amplitudes.

Explicit on-shell factorization of BCJ numerators.

New recursive structure for biadjoint and Yang-Mills theories.

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.