Jacob L. Bourjaily
Amplitudes and correlators to ten loops using simple, graphical bootstraps
Bourjaily, Jacob L.; Heslop, Paul V.; Tran, Vuong-Viet
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 | Mar 29, 2024 |
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 |
Files
Published Journal Article
(645 Kb)
PDF
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.
You might also like
Superconformal Blocks in Diverse Dimensions and BC Symmetric Functions
(2023)
Journal Article
The SAGEX review on scattering amplitudes chapter 8: half BPS correlators
(2022)
Journal Article
The SAGEX Review on scattering amplitudes
(2022)
Journal Article
Higher-dimensional symmetry of AdS2×S2 correlators
(2022)
Journal Article
Amplituhedron-like geometries
(2021)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search