Amplitudes and correlators to ten loops using simple, graphical bootstraps

@article{Bourjaily2016AmplitudesAC,
  title={Amplitudes and correlators to ten loops using simple, graphical bootstraps},
  author={Jacob L. Bourjaily and Pauline Heslop and Vuong-Viet Tran},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2016},
  pages={1-32}
}
A bstractWe 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… 
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