Change search
ReferencesLink to record
Permanent link

Direct link
Cross-order integral relations from maximal cuts
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. CERN, Dept Phys, Theory Grp, CH-1211 Geneva 23, Switzerland.
2015 (English)In: Physical Review D, ISSN 1550-7998, 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
Astronomy, Astrophysics and Cosmology
URN: urn:nbn:se:kth:diva-171891DOI: 10.1103/PhysRevD.92.025015ISI: 000357808600003ScopusID: 2-s2.0-84937129592OAI: diva2:845983
Swedish Research Council, 621-2014-5722Knut and Alice Wallenberg FoundationEU, FP7, Seventh Framework Programme

QC 20150813

Available from: 2015-08-13 Created: 2015-08-10 Last updated: 2015-08-13Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus
By organisation
Nordic Institute for Theoretical Physics NORDITA
In the same journal
Physical Review D
Astronomy, Astrophysics and Cosmology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 22 hits
ReferencesLink to record
Permanent link

Direct link