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Cluster adjacency and the four-loop NMHV heptagon

Cluster adjacency and the four-loop NMHV heptagon
Cluster adjacency and the four-loop NMHV heptagon

We exploit the recently described property of cluster adjacency for scattering amplitudes in planar N= 4 super Yang-Mills theory to construct the symbol of the four-loop NMHV heptagon amplitude. We use a manifestly cluster adjacent ansatz and describe how the parameters of this ansatz are determined using simple physical consistency requirements. We then specialise our answer for the amplitude to the multi-Regge limit, finding agreement with previously available results up to the next-to-leading logarithm, and obtaining new predictions up to (next-to) 3 -leading-logarithmic accuracy.

Conformal Field Theory, Scattering Amplitudes, Supersymmetric Gauge Theory
1126-6708
1-23
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gürdoğan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
Papathanasiou, Georgios
92cb6f58-cc1c-4166-8595-70b13c9ea734
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gürdoğan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
Papathanasiou, Georgios
92cb6f58-cc1c-4166-8595-70b13c9ea734

Drummond, James, Foster, Jack, Gürdoğan, Ömer and Papathanasiou, Georgios (2019) Cluster adjacency and the four-loop NMHV heptagon. Journal of High Energy Physics, 2019 (3), 1-23, [87]. (doi:10.1007/JHEP03(2019)087).

Record type: Article

Abstract

We exploit the recently described property of cluster adjacency for scattering amplitudes in planar N= 4 super Yang-Mills theory to construct the symbol of the four-loop NMHV heptagon amplitude. We use a manifestly cluster adjacent ansatz and describe how the parameters of this ansatz are determined using simple physical consistency requirements. We then specialise our answer for the amplitude to the multi-Regge limit, finding agreement with previously available results up to the next-to-leading logarithm, and obtaining new predictions up to (next-to) 3 -leading-logarithmic accuracy.

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Drummond 2019 Article Cluster Adjacency And The Four-loo - Version of Record
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Accepted/In Press date: 14 February 2019
e-pub ahead of print date: 15 March 2019
Published date: 15 March 2019
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Keywords: Conformal Field Theory, Scattering Amplitudes, Supersymmetric Gauge Theory
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Identifiers

Local EPrints ID: 429544
URI: http://eprints.soton.ac.uk/id/eprint/429544
DOI: doi:10.1007/JHEP03(2019)087
ISSN: 1126-6708
PURE UUID: ac54b3c8-3d5d-449d-b879-c23fddd8210f

Catalogue record

Date deposited: 29 Mar 2019 17:30
Last modified: 06 Dec 2024 17:51

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Contributors

Author: James Drummond
Author: Jack Foster
Author: Ömer Gürdoğan
Author: Georgios Papathanasiou

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