The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
Abstract
We review the bootstrap method for constructing six- and seven-particle amplitudes in planar 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.
Cite
@article{arxiv.2005.06735,
title = {The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes},
author = {Simon Caron-Huot and Lance J. Dixon and James M. Drummond and Falko Dulat and Jack Foster and Ömer Gürdoğan and Matt von Hippel and Andrew J. McLeod and Georgios Papathanasiou},
journal= {arXiv preprint arXiv:2005.06735},
year = {2020}
}
Comments
36 pages, 4 figures, 5 tables, 1 ancillary file. Contribution to the proceedings of the Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019), 31 August - 25 September 2019, Corfu, Greece