paper

Open associahedra and scattering forms

arXiv:2008.06418 · doi:10.1007/JHEP12(2020)134

Abstract

We continue the study of open associahedra associated with bi-color scattering amplitudes initiated in arXiv:1912.08307. We focus on the facet geometries of the open associahedra, uncovering many new phenomena such as fiber-product geometries. We then provide novel recursion procedures for calculating the canonical form of open associahedra, generalizing recursion relations for bounded polytopes to unbounded polytopes.

36+13 pages, 10 figures