Quadratic relations between Feynman integrals

David Broadhurst, David P. Roberts

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations

Abstract

Feynman integrals come in two varieties: polylogarithmic, or not. They are used in two ways: as contributions to an amplitude that is squared, or as contributions to an observable matrix element. In the former case, products of integrals occur, in the latter they do not. We report on products of non-polylogarithmic Feynman integrals related to the magnetic moment of the electron, giving details of an infinite set of quadratic relations between these integrals at all loops L > 2.

Original languageEnglish (US)
JournalProceedings of Science
Volume303
StatePublished - 2018
Event2018 Loops and Legs in Quantum Field Theory, LL 2018 - St. Goar, Germany
Duration: Apr 29 2018May 4 2018

Bibliographical note

Funding Information:
∗Speaker. †DB thanks the organizers of LL2018 for financial support. ‡DPR’s research is supported by grant DMS-1601350 from the National Science Foundation.

Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons.

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