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N = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space.

Armstrong, Connor and Farrow, Joseph A. and Lipstein, Arthur E. (2021) 'N = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space.', Journal of high energy physics., 2021 (1). p. 181.


We derive an on-shell diagram recursion for tree-level scattering amplitudes in 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 N = 7 R-invariants analogous to those of 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.

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:12 December 2020
Date deposited:02 February 2021
Date of first online publication:27 January 2021
Date first made open access:02 February 2021

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