Open associahedra and scattering forms

A bstract We continue the study of open associahedra associated with bi-color scattering amplitudes initiated in ref. [1]. 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 calcula...

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Veröffentlicht in:	The journal of high energy physics 2020-12, Vol.2020 (12), p.1-47, Article 134
Hauptverfasser:	Herderschee, Aidan, Teng, Fei
Format:	Artikel
Sprache:	eng
Schlagworte:	Canonical forms Classical and Quantum Gravitation Differential and Algebraic Geometry Elementary Particles High energy physics Physical Sciences Physics Physics and Astronomy PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Physics, Particles & Fields Polytopes Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Scattering Scattering Amplitudes Science & Technology String Theory
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Zusammenfassung:	A bstract We continue the study of open associahedra associated with bi-color scattering amplitudes initiated in ref. [1]. 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.
ISSN:	1029-8479 1126-6708 1029-8479
DOI:	10.1007/JHEP12(2020)134