$\mathcal{N}=7$ On-Shell Diagrams and Supergravity Amplitudes in Momentum Twistor Space

Abstract

We derive an on-shell diagram recursion for tree-level scattering amplitudes in $\mathcal{N}=7$ supergravity. The diagrams are evaluated in terms of Grassmannian integrals and momentum twistors, generalising previous results of Hodges in momentum twistor space to non-MHV amplitudes. In particular, we recast five and six-point NMHV amplitudes in terms of $\mathcal{N}=7$ R-invariants analogous to those of $\mathcal{N}=4$ super-Yang-Mills, which makes cancellation of spurious poles more transparent. Above 5-points, this requires defining momentum twistors with respect to different orderings of the external momenta.

v2. minor changes, published in JHEP

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Cited by in corpus (5)

• The SAGEX Review on Scattering Amplitudes, Chapter 7: Positive Geometry of Scattering Amplitudes
• Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
• Non-planar BCFW Grassmannian Geometries
• Poles At Infinity in On-shell Diagrams
• Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D