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dc.contributor.authorBritto, Ruthen
dc.date.accessioned2020-03-21T11:35:57Z
dc.date.available2020-03-21T11:35:57Z
dc.date.issued2020en
dc.date.submitted2020en
dc.identifier.citationSamuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi, James Matthew, From positive geometries to a coaction on hypergeometric functions, Journal of High Energy Physics, 2020en
dc.identifier.issn1029-8479en
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/91848
dc.descriptionPUBLISHEDen
dc.description.abstractIt is well known that Feynman integrals in dimensional regularization often evaluate to functions of hypergeometric type. Inspired by a recent proposal for a coaction on one-loop Feynman integrals in dimensional regularization, we use intersection numbers and twisted homology theory to define a coaction on certain hypergeometric functions. The functions we consider admit an integral representation where both the integrand and the contour of integration are associated with positive geometries. As in dimensionally- regularized Feynman integrals, endpoint singularities are regularized by means of expo- nents controlled by a small parameter ε. We show that the coaction defined on this class of integral is consistent, upon expansion in ε, with the well-known coaction on multiple polylogarithms. We illustrate the validity of our construction by explicitly determining the coaction on various types of hypergeometric p+1Fp and Appell functions.en
dc.language.isoenen
dc.relation.ispartofseriesJournal of High Energy Physicsen
dc.rightsYen
dc.subjectScattering Amplitudesen
dc.subjectPerturbative QCDen
dc.titleFrom positive geometries to a coaction on hypergeometric functionsen
dc.typeJournal Articleen
dc.contributor.sponsorEuropean Research Council (ERC)en
dc.contributor.sponsorEuropean Research Council (ERC)en
dc.contributor.sponsorOtheren
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/brittoren
dc.identifier.rssinternalid212518en
dc.identifier.doihttps://doi.org/10.1007/JHEP02(2020)122en
dc.relation.ecprojectidinfo:eu-repo/grantAgreement/EC/FP7/647356
dc.rights.ecaccessrightsopenAccess
dc.contributor.sponsorGrantNumber647356en
dc.contributor.sponsorGrantNumber637019en
dc.subject.TCDTagAlgebraen
dc.subject.TCDTagTheoretical Physicsen
dc.identifier.rssurihttp://inspirehep.net/record/1759664?ln=enen
dc.identifier.rssurihttps://arxiv.org/abs/1910.08358en
dc.identifier.orcid_id0000-0003-2462-6481en
dc.status.accessibleNen


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