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dc.contributor.authorHenn, Johannes
dc.contributor.authorMistlberger, Bernhard
dc.contributor.authorSmirnov, Vladimir A
dc.contributor.authorWasser, Pascal
dc.date.accessioned2021-09-20T17:29:48Z
dc.date.available2021-09-20T17:29:48Z
dc.date.issued2020-04-24
dc.identifier.urihttps://hdl.handle.net/1721.1/131705
dc.description.abstractAbstract We compute all master integrals for massless three-loop four-particle scattering amplitudes required for processes like di-jet or di-photon production at the LHC. We present our result in terms of a Laurent expansion of the integrals in the dimensional regulator up to 8th power, with coefficients expressed in terms of harmonic polylogarithms. As a basis of master integrals we choose integrals with integrands that only have logarithmic poles — called dlog forms. This choice greatly facilitates the subsequent computation via the method of differential equations. We detail how this basis is obtained via an improved algorithm originally developed by one of the authors. We provide a public implementation of this algorithm. We explain how the algorithm is naturally applied in the context of unitarity. In addition, we classify our dlog forms according to their soft and collinear properties.en_US
dc.publisherSpringer Berlin Heidelbergen_US
dc.relation.isversionofhttps://doi.org/10.1007/JHEP04(2020)167en_US
dc.rightsCreative Commons Attributionen_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.sourceSpringer Berlin Heidelbergen_US
dc.titleConstructing d-log integrands and computing master integrals for three-loop four-particle scatteringen_US
dc.typeArticleen_US
dc.identifier.citationJournal of High Energy Physics. 2020 Apr 24;2020(4):167en_US
dc.identifier.mitlicensePUBLISHER_CC
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2020-06-26T13:22:04Z
dc.language.rfc3066en
dc.rights.holderThe Author(s)
dspace.embargo.termsN
dspace.date.submission2020-06-26T13:22:04Z
mit.licensePUBLISHER_CC
mit.metadata.statusAuthority Work and Publication Information Needed


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