Graphical functions in even dimensions

Borinsky M, Schnetz O (2022)

Publication Type: Journal article

Publication year: 2022


Book Volume: 16

Pages Range: 515-614

Journal Issue: 3

DOI: 10.4310/cntp.2022.v16.n3.a3


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 >= 4 with detailed reviews of known properties and full proofs whenever possible.

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Borinsky, M., & Schnetz, O. (2022). Graphical functions in even dimensions. Communications in Number Theory and Physics, 16(3), 515-614.


Borinsky, Michael, and Oliver Schnetz. "Graphical functions in even dimensions." Communications in Number Theory and Physics 16.3 (2022): 515-614.

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