# Recursive computation of Feynman periods

@inproceedings{Borinsky2022RecursiveCO, title={Recursive computation of Feynman periods}, author={Michael Borinsky and Oliver Schnetz}, year={2022} }

Feynman periods are Feynman integrals that do not depend on external kinematics. Their computation, which is necessary for many applications of quantum field theory, is greatly facilitated by graphical functions or the equivalent conformal four-point integrals. We describe a set of transformation rules that act on such functions and allow their recursive computation in arbitrary even dimensions. As a concrete example we compute all subdivergence-free Feynman periods in φ3 theory up to six loops…

## 2 Citations

Graphical functions in even dimensions

- Mathematics
- 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,…

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