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Cheung,On-Shell Recursion Relations for Generic Theories,JHEP03(2010) 098, [arXiv:0808.0504]

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abstract

We show that on-shell recursion relations hold for tree amplitudes in generic two derivative theories of multiple particle species and diverse spins. For example, in a gauge theory coupled to scalars and fermions, any amplitude with at least one gluon obeys a recursion relation. In (super)gravity coupled to scalars and fermions, the same holds for any amplitude with at least one graviton. This result pertains to a broad class of theories, including QCD, N=4 SYM, and N=8 supergravity.

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2026 1 2025 1

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BCFW like recursion for Deformed Associahedron

hep-th · 2025-07-19 · unverdicted · novelty 5.0

Adapts BCFW-style recursion to deformed ABHY-associahedron and D-type cluster polytopes for tree-level and one-loop amplitudes in multi-scalar cubic theories.

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