Positive geometries for all scalar theories from twisted intersection theory
We show that accordiohedra furnish polytopes which encode amplitudes for all massive scalar field theories with generic interactions. This is done by deriving integral formulas for the Feynman diagrams at the tree level and integrands at the one-loop level in the planar limit using the twisted inter...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
American Physical Society
2020-07-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033119 |
Summary: | We show that accordiohedra furnish polytopes which encode amplitudes for all massive scalar field theories with generic interactions. This is done by deriving integral formulas for the Feynman diagrams at the tree level and integrands at the one-loop level in the planar limit using the twisted intersection theory of convex realizations of the accordiohedron polytopes. |
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ISSN: | 2643-1564 |