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

Armstrong, Connor; Farrow, Joseph A.; Lipstein, Arthur E.

Abstract

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.

Citation

Armstrong, C., Farrow, J. A., & Lipstein, A. E. (2021). N = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space. Journal of High Energy Physics, 2021(1), Article 181. https://doi.org/10.1007/jhep01%282021%29181

• Journal Article Type: Article
• Acceptance Date: Dec 12, 2020
• Online Publication Date: Jan 27, 2021
• Publication Date: 2021
• Deposit Date: Jan 31, 2021
• Publicly Available Date: Feb 2, 2021
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2021
• Issue: 1
• Article Number: 181
• DOI: https://doi.org/10.1007/jhep01%282021%29181
• Related Public URLs: https://arxiv.org/abs/2010.11813