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Amplitudes and correlators to ten loops using simple, graphical bootstraps

Bourjaily, Jacob L.; Heslop, Paul V.; Tran, Vuong-Viet

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Authors

Jacob L. Bourjaily

Vuong-Viet Tran



Abstract

We introduce two new graphical-level relations among possible contributions to the four-point correlation function and scattering amplitude in planar, maximally supersymmetric Yang-Mills theory. When combined with the rung rule, these prove powerful enough to fully determine both functions through ten loops. This then also yields the full five-point amplitude to eight loops and the parity-even part to nine loops. We derive these rules, illustrate their applications, compare their relative strengths for fixing coefficients, and survey some of the features of the previously unknown nine and ten loop expressions. Explicit formulae for amplitudes and correlators through ten loops are available at: http://goo.gl/JH0yEc

Citation

Bourjaily, J. L., Heslop, P. V., & Tran, V. (2016). Amplitudes and correlators to ten loops using simple, graphical bootstraps. Journal of High Energy Physics, 2016(11), Article 125. https://doi.org/10.1007/jhep11%282016%29125

Journal Article Type Article
Acceptance Date Nov 9, 2016
Online Publication Date Nov 22, 2016
Publication Date Nov 22, 2016
Deposit Date Dec 7, 2016
Publicly Available Date Dec 7, 2016
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2016
Issue 11
Article Number 125
DOI https://doi.org/10.1007/jhep11%282016%29125
Related Public URLs https://arxiv.org/abs/1609.00007

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.







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