The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
Papathanasiou, G. 
ORCID: 0000-0002-2627-9906, Caron-Huot, S., Dixon, L. , Drummond, J., Dulat, F., Foster, J., Gurdogan, O., von Hippel, M. & McLeod, A. J. (2020).
The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes.
In:
Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019).
Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity", 31 Aug 2019, Corfu, Greece.
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.
| Publication Type: | Conference or Workshop Item (Paper) |
|---|---|
| Additional Information: | Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. |
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology School of Science & Technology > Mathematics |
| SWORD Depositor: |
Available under License Creative Commons Attribution Non-commercial No Derivatives.
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