The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
We review the bootstrap method for constructing six- and seven-particle amplitudes in planar N=4 super Yang-Mills theory, by exploiting their analytic structure. We focus on two recently discovered properties which greatly simplify this construction at symbol and function level, respectively: the extended Steinmann relations, or equivalently cluster adjacency, and the coaction principle. We then demonstrate their power in determining the six-particle amplitude through six and seven loops in the NMHV and MHV sectors respectively, as well as the symbol of the NMHV seven-particle amplitude to four loops.
Papathanasiou, Georgios
92cb6f58-cc1c-4166-8595-70b13c9ea734
Caron-Huot, Simon
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Dixon, Lance
771aff61-aeac-479c-b3eb-e701b88e664b
Drummond, James
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Dulat, Falko
563feaa9-21a6-4715-a9a3-bdaa507611bd
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gurdogan, Omer
841de8b6-4eb2-407f-a4c4-c8136403794d
Hippel, Matt von
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McLeod, Andrew J.
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18 August 2020
Papathanasiou, Georgios
92cb6f58-cc1c-4166-8595-70b13c9ea734
Caron-Huot, Simon
41fbea24-a130-4562-b0c2-5aba17155343
Dixon, Lance
771aff61-aeac-479c-b3eb-e701b88e664b
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Dulat, Falko
563feaa9-21a6-4715-a9a3-bdaa507611bd
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gurdogan, Omer
841de8b6-4eb2-407f-a4c4-c8136403794d
Hippel, Matt von
5502c10a-d81d-44b5-ad92-55240682aae3
McLeod, Andrew J.
822e2024-9f9a-4c77-a214-845fe6f057c9
Papathanasiou, Georgios, Caron-Huot, Simon, Dixon, Lance, Drummond, James, Dulat, Falko, Foster, Jack, Gurdogan, Omer, Hippel, Matt von and McLeod, Andrew J.
(2020)
The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes.
Proceedings of Science.
(doi:10.22323/1.376.0003).
Abstract
We review the bootstrap method for constructing six- and seven-particle amplitudes in planar N=4 super Yang-Mills theory, by exploiting their analytic structure. We focus on two recently discovered properties which greatly simplify this construction at symbol and function level, respectively: the extended Steinmann relations, or equivalently cluster adjacency, and the coaction principle. We then demonstrate their power in determining the six-particle amplitude through six and seven loops in the NMHV and MHV sectors respectively, as well as the symbol of the NMHV seven-particle amplitude to four loops.
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Published date: 18 August 2020
Venue - Dates:
Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity", Corfu, Corfu, Greece, 2020-08-31 - 2020-09-25
Identifiers
Local EPrints ID: 496196
URI: http://eprints.soton.ac.uk/id/eprint/496196
ISSN: 1824-8039
PURE UUID: 5acca307-3661-4c3d-8084-f493966fc097
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Date deposited: 06 Dec 2024 17:38
Last modified: 06 Dec 2024 17:55
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Contributors
Author:
Georgios Papathanasiou
Author:
Simon Caron-Huot
Author:
Lance Dixon
Author:
Falko Dulat
Author:
Jack Foster
Author:
Matt von Hippel
Author:
Andrew J. McLeod
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