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A Novel On-Shell Recursive Relation (2507.23510v1)
Published 31 Jul 2025 in hep-th, math-ph, and 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.
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