000474751 001__ 474751
000474751 005__ 20250715175400.0
000474751 0247_ $$2doi$$a10.1007/JHEP01(2022)193
000474751 0247_ $$2INSPIRETeX$$aBlumlein:2021ryt
000474751 0247_ $$2inspire$$ainspire:1975808
000474751 0247_ $$2ISSN$$a1029-8479
000474751 0247_ $$2ISSN$$a1126-6708
000474751 0247_ $$2ISSN$$a1127-2236
000474751 0247_ $$2arXiv$$aarXiv:2111.12401
000474751 0247_ $$2datacite_doi$$a10.3204/PUBDB-2022-00970
000474751 0247_ $$2altmetric$$aaltmetric:117555843
000474751 0247_ $$2WOS$$aWOS:000749540200004
000474751 0247_ $$2openalex$$aopenalex:W3216744198
000474751 037__ $$aPUBDB-2022-00970
000474751 041__ $$aEnglish
000474751 082__ $$a530
000474751 088__ $$2arXiv$$aarXiv:2111.12401
000474751 088__ $$2DESY$$aDESY-21-192
000474751 088__ $$2Fermilab$$aDO-TH-21/31
000474751 088__ $$2Other$$aTTP-21-052
000474751 088__ $$2Other$$aRISC Report Series 21-19
000474751 088__ $$2arXiv$$aarXiv:2111.12401
000474751 088__ $$2DESY$$aDESY-21-192
000474751 088__ $$2Fermilab$$aDO-TH 21/31
000474751 1001_ $$0P:(DE-H253)PIP1003764$$aBlümlein, J.$$b0$$eCorresponding author$$udesy
000474751 245__ $$aThe three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements
000474751 260__ $$a[Trieste]$$bSISSA$$c2022
000474751 3367_ $$2DRIVER$$aarticle
000474751 3367_ $$2DataCite$$aOutput Types/Journal article
000474751 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1645536924_18341
000474751 3367_ $$2BibTeX$$aARTICLE
000474751 3367_ $$2ORCID$$aJOURNAL_ARTICLE
000474751 3367_ $$00$$2EndNote$$aJournal Article
000474751 500__ $$a28 pages Latex, 1 figure
000474751 520__ $$aFuture high luminosity polarized deep--inelastic scattering experiments will improve both the knowledge of the spin sub--structure of the nucleons and contribute further to the precision determination of the strong coupling constant, as well as, reveal currently yet unknown higher twist contributions in the polarized sector. For all these tasks to be performed, it is necessary to know the QCD leading twist scaling violations of the measured structure functions. Here an important ingredient consists in the polarized singlet anomalous dimensions and splitting functions in QCD. We recalculate these quantities to three--loop order in the M--scheme by using the traditional method of space--like off--shell massless operator matrix elements, being a gauge--dependent framework. Here one obtains the anomalous dimensions without referring to gravitational currents, needed when calculating them using the forward Compton amplitude. We also calculate the non--singlet splitting function $\Delta P_{\rm qq}^{(2), \rm s, NS}$ and compare the final results to the literature, also including predictions for the region of small values of Bjorken $x$.
000474751 536__ $$0G:(DE-HGF)POF4-611$$a611 - Fundamental Particles and Forces (POF4-611)$$cPOF4-611$$fPOF IV$$x0
000474751 588__ $$aDataset connected to CrossRef, Journals: bib-pubdb1.desy.de
000474751 650_7 $$2INSPIRE$$astructure function: spin
000474751 650_7 $$2INSPIRE$$adeep inelastic scattering
000474751 650_7 $$2INSPIRE$$aluminosity: high
000474751 650_7 $$2INSPIRE$$ascaling: violation
000474751 650_7 $$2INSPIRE$$astrong interaction: coupling constant
000474751 650_7 $$2INSPIRE$$aanomalous dimension
000474751 650_7 $$2INSPIRE$$apolarization
000474751 650_7 $$2INSPIRE$$aquantum chromodynamics
000474751 650_7 $$2INSPIRE$$asplitting function
000474751 650_7 $$2INSPIRE$$asinglet
000474751 650_7 $$2INSPIRE$$asmall-x
000474751 650_7 $$2INSPIRE$$anucleon: structure function
000474751 650_7 $$2INSPIRE$$atwist
000474751 650_7 $$2INSPIRE$$aoff-shell
000474751 650_7 $$2INSPIRE$$ahigher-twist
000474751 650_7 $$2INSPIRE$$aloop integral
000474751 650_7 $$2INSPIRE$$ahigher-order
000474751 650_7 $$2autogen$$aPerturbative QCD
000474751 650_7 $$2autogen$$aRenormalization Group
000474751 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0
000474751 7001_ $$0P:(DE-H253)PIP1019895$$aMarquard, P.$$b1$$udesy
000474751 7001_ $$aSchneider, C.$$b2
000474751 7001_ $$0P:(DE-H253)PIP1026518$$aSchönwald, K.$$b3$$udesy
000474751 773__ $$0PERI:(DE-600)2027350-2$$a10.1007/JHEP01(2022)193$$gVol. 2022, no. 1, p. 193$$n1$$p193$$tJournal of high energy physics$$v2022$$x1029-8479$$y2022
000474751 7870_ $$0PUBDB-2021-04788$$aBlümlein, J. et.al.$$d2021$$iIsParent$$rarXiv:2111.12401 ; DESY-21-192 ; DO-TH 21/31$$tThe three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements
000474751 8564_ $$uhttps://bib-pubdb1.desy.de/record/474751/files/JHEP01%282022%29193.pdf$$yOpenAccess
000474751 8564_ $$uhttps://bib-pubdb1.desy.de/record/474751/files/JHEP01%282022%29193.pdf?subformat=pdfa$$xpdfa$$yOpenAccess
000474751 8564_ $$uhttps://bib-pubdb1.desy.de/record/474751/files/PDF-Approval_of_scientific_publication.pdf
000474751 8564_ $$uhttps://bib-pubdb1.desy.de/record/474751/files/PDF-Approval_of_scientific_publication.pdf?subformat=pdfa$$xpdfa
000474751 8767_ $$92022$$d2023-02-10$$eAPC$$jFlatrate$$lSCOAP3
000474751 909CO $$ooai:bib-pubdb1.desy.de:474751$$pdnbdelivery$$popenCost$$pVDB$$pdriver$$pOpenAPC$$popen_access$$popenaire
000474751 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1003764$$aDeutsches Elektronen-Synchrotron$$b0$$kDESY
000474751 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1019895$$aDeutsches Elektronen-Synchrotron$$b1$$kDESY
000474751 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1026518$$aDeutsches Elektronen-Synchrotron$$b3$$kDESY
000474751 9131_ $$0G:(DE-HGF)POF4-611$$1G:(DE-HGF)POF4-610$$2G:(DE-HGF)POF4-600$$3G:(DE-HGF)POF4$$4G:(DE-HGF)POF$$aDE-HGF$$bForschungsbereich Materie$$lMatter and the Universe$$vFundamental Particles and Forces$$x0
000474751 9141_ $$y2022
000474751 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)0160$$2StatID$$aDBCoverage$$bEssential Science Indicators$$d2021-01-30
000474751 915__ $$0LIC:(DE-HGF)CCBY4$$2HGFVOC$$aCreative Commons Attribution CC BY 4.0
000474751 915__ $$0StatID:(DE-HGF)0600$$2StatID$$aDBCoverage$$bEbsco Academic Search$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess
000474751 915__ $$0StatID:(DE-HGF)0100$$2StatID$$aJCR$$bJ HIGH ENERGY PHYS : 2019$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)9905$$2StatID$$aIF >= 5$$bJ HIGH ENERGY PHYS : 2019$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)0501$$2StatID$$aDBCoverage$$bDOAJ Seal$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)0500$$2StatID$$aDBCoverage$$bDOAJ$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)0113$$2StatID$$aWoS$$bScience Citation Index Expanded$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)0199$$2StatID$$aDBCoverage$$bClarivate Analytics Master Journal List$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)0150$$2StatID$$aDBCoverage$$bWeb of Science Core Collection$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)0570$$2StatID$$aSCOAP3
000474751 915__ $$0StatID:(DE-HGF)0030$$2StatID$$aPeer Review$$bDOAJ : Blind peer review$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)1150$$2StatID$$aDBCoverage$$bCurrent Contents - Physical, Chemical and Earth Sciences$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline$$d2021-01-30
000474751 915__ $$0StatID:(DE-HGF)0420$$2StatID$$aNationallizenz$$d2021-01-30$$wger
000474751 915__ $$0StatID:(DE-HGF)0571$$2StatID$$aDBCoverage$$bSCOAP3 sponsored Journal$$d2021-01-30
000474751 915pc $$0PC:(DE-HGF)0000$$2APC$$aAPC keys set
000474751 915pc $$0PC:(DE-HGF)0001$$2APC$$aLocal Funding
000474751 915pc $$0PC:(DE-HGF)0002$$2APC$$aDFG OA Publikationskosten
000474751 915pc $$0PC:(DE-HGF)0003$$2APC$$aDOAJ Journal
000474751 9201_ $$0I:(DE-H253)Z_ZPPT-20210408$$kZ_ZPPT$$lZeuthen Particle PhysicsTheory$$x0
000474751 9801_ $$aFullTexts
000474751 980__ $$ajournal
000474751 980__ $$aVDB
000474751 980__ $$aI:(DE-H253)Z_ZPPT-20210408
000474751 980__ $$aUNRESTRICTED
000474751 980__ $$aAPC