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A Novel On-Shell Recursive Relation

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arxiv 2507.23510 v4 pith:XMZXULWV submitted 2025-07-31 hep-th math-phmath.MP

A Novel On-Shell Recursive Relation

classification hep-th math-phmath.MP
keywords on-shellnovelrecursiveamplitudesamputatedbiadjointbyproductcurrents
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On differential operators for scalar-scaffolded gluons

    hep-th 2025-12 conditional novelty 6.0

    Differential operators on scalar-scaffolded variables extract individual phi^3 diagrams from gluon amplitudes, and the independent mixed amplitudes are counted by Catalan numbers.