English

All-Helicity Symbol Alphabets from Unwound Amplituhedra

High Energy Physics - Theory 2018-07-04 v2

Abstract

We review an algorithm for determining the branch points of general amplitudes in planar N=4\mathcal{N}=4 super-Yang-Mills theory from amplituhedra. We demonstrate how to use the recent reformulation of amplituhedra in terms of `sign flips' in order to streamline the application of this algorithm to amplitudes of any helicity. In this way we recover the known branch points of all one-loop amplitudes, and we find an `emergent positivity' on boundaries of amplituhedra.

Keywords

Cite

@article{arxiv.1711.11507,
  title  = {All-Helicity Symbol Alphabets from Unwound Amplituhedra},
  author = {Igor Prlina and Marcus Spradlin and James Stankowicz and Stefan Stanojevic and Anastasia Volovich},
  journal= {arXiv preprint arXiv:1711.11507},
  year   = {2018}
}

Comments

38 pages, 5 figures, 1 big table; v2: minor corrections and improvements