Positive Geometries for all Scalar Theories from Twisted Intersection Theory
High Energy Physics - Theory
2020-07-23 v2
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.
Keywords
Cite
@article{arxiv.2006.15359,
title = {Positive Geometries for all Scalar Theories from Twisted Intersection Theory},
author = {Nikhil Kalyanapuram and Raghav G. Jha},
journal= {arXiv preprint arXiv:2006.15359},
year = {2020}
}
Comments
v2: Corrected typos and added references - published version