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

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

doi:10.1007/jhep01(2021)181

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

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

Authors

Connor Armstrong

Joseph Farrow joseph.a.farrow@durham.ac.uk
PGR Student Doctor of Philosophy

Dr Arthur Lipstein arthur.lipstein@durham.ac.uk
Associate Professor

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

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