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Positive Geometries for all Scalar Theories from Twisted Intersection Theory
Published 27 Jun 2020 in hep-th | (2006.15359v2)
Abstract: We show that accordiohedra furnish polytopes which encode amplitudes for all massive scalar field theories with generic interactions. This is done by deriving integral formulae for the Feynman diagrams at tree level and integrands at one loop level in the planar limit using the twisted intersection theory of convex realizations of the accordiohedron polytopes.
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