Recursive computation of Feynman periods

Borinsky M, Schnetz O (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Journal of High Energy Physics Springer Verlag (Germany) / Institute of Physics / Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Book Volume: 2022

Article Number: 291

Journal Issue: 8

DOI: 10.1007/JHEP08(2022)291

Abstract

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 and 561 of 607 Feynman periods at seven loops analytically. Our results support the conjectured existence of a coaction structure in quantum field theory and suggest that ϕ3 and ϕ4 theory share the same number content.

Authors with CRIS profile

Oliver Schnetz Lehrstuhl für Mathematik (Algebra und Geometrie)

Involved external institutions

Eidgenössische Technische Hochschule Zürich (ETHZ) / Swiss Federal Institute of Technology in Zurich CH Switzerland (CH)

How to cite

APA:

Borinsky, M., & Schnetz, O. (2022). Recursive computation of Feynman periods. Journal of High Energy Physics, 2022(8). https://dx.doi.org/10.1007/JHEP08(2022)291

MLA:

Borinsky, Michael, and Oliver Schnetz. "Recursive computation of Feynman periods." Journal of High Energy Physics 2022.8 (2022).

BibTeX: Download