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Graphical functions in even dimensions
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abstract
Graphical functions are special position space Feynman integrals, which can be used to calculate Feynman periods and one- or two-scale processes at high loop orders. With graphical functions, renormalization constants have been calculated to loop orders seven and eight in four-dimensional $\phi^4$ theory and to order five in six-dimensional $\phi^3$ theory. In this article we present the theory of graphical functions in even dimensions $\geq4$ with detailed reviews of known properties and full proofs whenever possible.
Forward citations
Cited by 2 Pith papers
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A leading-singularity bootstrap workflow yields new analytic expressions for four-loop conformal integrals, including previously intractable non-planar sectors.
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