A Novel On-Shell Recursive Relation
arXiv:2507.23510 · doi: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 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.
Version accepted for publication in Physical Review D