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Cross-order integral relations from maximal cuts
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2015 (English)In: Physical Review D, ISSN 1550-7998, E-ISSN 1550-2368, Vol. 92, no 2, 025015Article in journal (Refereed) Published
Abstract [en]

We study the Anastasiou-Bern-Dixon-Kosower relation using maximal cuts of one-and two-loop integrals with up to five external legs. We show how to find a special combination of integrals that allows the relation to exist, and how to reconstruct the terms with one-loop integrals squared. The reconstruction relies on the observation that integrals across different loop orders can have support on the same generalized unitarity cuts and can share global poles. We discuss the appearance of nonhomologous integration contours in multivariate residues. Their origin can be understood in simple terms, and their existence enables us to distinguish contributions from different integrals. Our analysis suggests that maximal and near-maximal cuts can be used to infer the existence of integral identities more generally.

Place, publisher, year, edition, pages
2015. Vol. 92, no 2, 025015
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-260299DOI: 10.1103/PhysRevD.92.025015ISI: 000357808600003OAI: oai:DiVA.org:uu-260299DiVA: diva2:847690
Funder
Swedish Research Council, 621-2014-5722EU, FP7, Seventh Framework Programme, 627521
Available from: 2015-08-21 Created: 2015-08-18 Last updated: 2017-12-04Bibliographically approved

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