Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
High Energy Physics - Theory
2016-12-14 v2 High Energy Physics - Phenomenology
Abstract
The analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these relations dramatically simplify the function space for the hexagon function bootstrap in planar maximally supersymmetric Yang-Mills theory. Armed with this simplification, along with the constraints of dual conformal symmetry and Regge exponentiation, we obtain the complete five-loop six-particle amplitude.
Keywords
Cite
@article{arxiv.1609.00669,
title = {Bootstrapping a Five-Loop Amplitude Using Steinmann Relations},
author = {Simon Caron-Huot and Lance J. Dixon and Andrew McLeod and Matt von Hippel},
journal= {arXiv preprint arXiv:1609.00669},
year = {2016}
}
Comments
5 pages, 2 figures, 1 impressive table, and 2 ancillary files. v2: a few clarifications and references added; version to appear in PRL