The Sinc Function Representation and Three-Loop Master Diagrams

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dc.contributor.author Easther, Richard en
dc.contributor.author Guralnik, G en
dc.contributor.author Hahn, S en
dc.date.accessioned 2012-01-05T03:05:44Z en
dc.date.issued 2001 en
dc.identifier.citation Physical Review -Series d- 63 Article number 085017 2001 en
dc.identifier.issn 0556-2821 en
dc.identifier.uri http://hdl.handle.net/2292/10353 en
dc.description.abstract We test the Sinc function representation, a novel method for numerically evaluating Feynman diagrams, by using it to evaluate the three-loop master diagrams. Analytical results have been obtained for all these diagrams, and we find excellent agreement between our calculations and the exact values. The Sinc function representation converges rapidly, and it is straightforward to obtain accuracies of 1 part in 10^6 for these diagrams and with longer runs we found results better than 1 part in 10^{12}. Finally, this paper extends the Sinc function representation to diagrams containing massless propagators. en
dc.publisher The American Physical Society en
dc.relation.ispartofseries Physical Review -Series d- en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/0556-2821/ en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title The Sinc Function Representation and Three-Loop Master Diagrams en
dc.type Journal Article en
dc.identifier.doi 10.1103/PhysRevD.63.085017 en
pubs.volume 63 en
dc.rights.holder Copyright: The American Physical Society en
pubs.author-url http://arxiv.org/abs/hep-ph/9912255v1 en
pubs.publication-status Unpublished en
dc.rights.accessrights http://purl.org/eprint/accessRights/RestrictedAccess en
pubs.subtype Article en
pubs.elements-id 264341 en
pubs.org-id Science en
pubs.org-id Physics en
pubs.arxiv-id hep-ph/9912255 en
pubs.number 085017 en
pubs.record-created-at-source-date 2012-01-05 en


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