# Graphical functions in even dimensions

@inproceedings{Borinsky2021GraphicalFI, title={Graphical functions in even dimensions}, author={Michael Borinsky and Oliver Schnetz}, year={2021} }

. 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 φ 4 theory and to order ﬁve in six-dimensional φ 3 theory. In this article we present the theory of graphical functions in even dimensions ≥ 4 with detailed reviews of known properties and full proofs…

## 9 Citations

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We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to φ3 theory and compute the β function, the wave function anomalous dimension as well as…

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