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arXiv · 2207.14321

Feynman Diagrams in Four-Dimensional Holomorphic Theories and the Operatope

Kasia Budzik·Davide Gaiotto·Justin Kulp·Jingxiang Wu·Matthew Yu
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Abstract

We study a class of universal Feynman integrals which appear in four-dimensional holomorphic theories. We recast the integrals as the Fourier transform of a certain polytope in the space of loop momenta (aka the ``Operatope''). We derive a set of quadratic recursion relations which appear to fully determine the final answer. Our strategy can be applied to a very general class of twisted supersymmetric quantum field theories.

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Kasia Budzik, Davide Gaiotto, Justin Kulp, Jingxiang Wu, Matthew Yu. 2022-07-28. Feynman Diagrams in Four-Dimensional Holomorphic Theories and the Operatope. https://doi.org/10.1007/jhep07(2023)127

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