On-Shell Recursion Relations for Generic Theories

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.

19 pages, 3 figures

References in corpus (5)

• On Tree Amplitudes in Gauge Theory and Gravity
• Taming Tree Amplitudes In General Relativity
• Tree Level Recursion Relations In General Relativity
• Note on graviton MHV amplitudes
• Quantum gravity, effective fields and string theory

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