Open associahedra and scattering forms

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.

arXiv comment36+13 pages, 10 figures

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Cited by in corpus (5)

• Generalizations of the Double-Copy: the KLT Bootstrap
• Algebraic branch points at all loop orders from positive kinematics and wall crossing
• Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
• Towards Positive Geometry of Multi Scalar Field Amplitudes : Accordiohedron and Effective Field Theory
• BCFW like recursion for Deformed Associahedron