On-shell recursion relations for gravity

Abstract

We extend the argument presented by Benincasa, Boucher-Veronneau, and Cachazo to show that graviton tree amplitudes are well behaved under large complex deformations of the momenta of a pair of like-helicity gravitons. This shows that BCFW recursion relations for gravity amplitudes can be constructed using such shifts, providing an alternative proof to the recent one by Arkani-Hamed and Kaplan. By using auxiliary recursion relations the cancellations which are hidden when using covariant Feynman diagrams become manifest.

15 pages, 3 figures

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• On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
• Minimally modified theories of gravity: a playground for testing the uniqueness of general relativity
• Gravitino Interactions from Yang-Mills Theory
• Disk relations for tree amplitudes in minimal coupling theory of gauge field and gravity
• Amplitudes for Astrophysicists: Known Knowns