We propose a simple geometric algorithm for determining the complete set of branch points of amplitudes in planar N=4 super-Yang-Mills theory directly from the amplituhedron, without resorting to any particular representation in terms of local Feynman integrals. This represents a step towards translating integrands directly into integrals. In particular, the algorithm provides information about the symbol alphabets of general amplitudes. We illustrate the algorithm applied to the one- and two-loop MHV amplitudes.
@article{arxiv.1612.02708,
title = {Landau Singularities from the Amplituhedron},
author = {Tristan Dennen and Igor Prlina and Marcus Spradlin and Stefan Stanojevic and Anastasia Volovich},
journal= {arXiv preprint arXiv:1612.02708},
year = {2017}
}
Comments
34 pages, 16 figures; v2: minor corrections and improvements