000615336 001__ 615336
000615336 005__ 20250723105627.0
000615336 0247_ $$2doi$$a10.1016/j.physletb.2024.139194
000615336 0247_ $$2INSPIRETeX$$aFalcioni:2024qpd
000615336 0247_ $$2inspire$$ainspire:2839018
000615336 0247_ $$2ISSN$$a0031-9163
000615336 0247_ $$2ISSN$$a0370-2693
000615336 0247_ $$2ISSN$$a1873-2410
000615336 0247_ $$2ISSN$$a1873-2445
000615336 0247_ $$2arXiv$$aarXiv:2410.08089
000615336 0247_ $$2datacite_doi$$a10.3204/PUBDB-2024-06094
000615336 0247_ $$2WOS$$aWOS:001394711600001
000615336 0247_ $$2openalex$$aopenalex:W4405430298
000615336 037__ $$aPUBDB-2024-06094
000615336 041__ $$aEnglish
000615336 082__ $$a530
000615336 088__ $$2DESY$$aDESY-24-144
000615336 088__ $$2arXiv$$aarXiv:2410.08089
000615336 088__ $$2Other$$aZU-TH 47/24
000615336 088__ $$2Other$$aLTH 1384
000615336 1001_ $$0P:(DE-HGF)0$$aFalcioni, G.$$b0$$eCorresponding author
000615336 245__ $$aFour-loop splitting functions in QCD – the gluon-gluon case –
000615336 260__ $$aAmsterdam$$bNorth-Holland Publ.$$c2025
000615336 3367_ $$2DRIVER$$aarticle
000615336 3367_ $$2DataCite$$aOutput Types/Journal article
000615336 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1743585734_326139
000615336 3367_ $$2BibTeX$$aARTICLE
000615336 3367_ $$2ORCID$$aJOURNAL_ARTICLE
000615336 3367_ $$00$$2EndNote$$aJournal Article
000615336 500__ $$a the DFG through the Research Unit FOR 2926, project number 40824754, and DFG grant MO 1801/4-2, and the ERC Advanced Grant 101095857.
000615336 520__ $$aWe present the even-$N$ moments $N\le 20$ of the fourth-order (N$^3$LO) contribution $P_{\rm gg}^{\,(3)}(x)$ to the quark-to-gluon splitting function in perturbative QCD. These moments, obtained by analyticallycomputing off-shell operator matrix elements for a general gauge group, agree with all known results, in particular with the moments $N\le 10$ derived before from structure functions in deep-inelastic scattering.  Using the new moments and the available endpoint constraints, we construct approximations for $P_{\rm gg}^{\,(3)}(x)$ which improve upon those obtained from the lowest five even moments. The remaining uncertainties of this function are now practically irrelevant at momentum fractions $x > 0.1$. The resulting errors of the convolution of$P_{\rm gg}$ at N$^3$LO with a typical gluon distribution are small at $x \gtrsim 10^{-3}$ and exceed 1\% only at $x \lesssim 10^{-4}$ for a strong coupling $\alpha_s = 0.2$. The present results for $P_{\rm gg}^{\,(3)}(x)$ should thus be sufficient for most collider-physics applications.
000615336 536__ $$0G:(DE-HGF)POF4-611$$a611 - Fundamental Particles and Forces (POF4-611)$$cPOF4-611$$fPOF IV$$x0
000615336 536__ $$0G:(EU-Grant)101104792$$aQCDchallenge - QCD challenges in precision physics at the LHC (101104792)$$c101104792$$fHORIZON-MSCA-2022-PF-01$$x1
000615336 536__ $$0G:(GEPRIS)409651613$$aDFG project G:(GEPRIS)409651613 - FOR 2926: Next Generation Perturbative QCD for Hadron Structure: Preparing for the Electron-Ion Collider (409651613)$$c409651613$$x2
000615336 588__ $$aDataset connected to CrossRef, INSPIRE, Journals: bib-pubdb1.desy.de
000615336 693__ $$0EXP:(DE-H253)LHC-Exp-ATLAS-20150101$$1EXP:(DE-588)4398783-7$$5EXP:(DE-H253)LHC-Exp-ATLAS-20150101$$aLHC$$eLHC: ATLAS$$x0
000615336 693__ $$0EXP:(DE-H253)LHC-Exp-CMS-20150101$$1EXP:(DE-588)4398783-7$$5EXP:(DE-H253)LHC-Exp-CMS-20150101$$aLHC$$eLHC: CMS$$x1
000615336 693__ $$0EXP:(DE-H253)LHC-Exp-other-20150101$$1EXP:(DE-588)4398783-7$$5EXP:(DE-H253)LHC-Exp-other-20150101$$aLHC$$eLHC: Other$$x2
000615336 7001_ $$aHerzog, F.$$b1
000615336 7001_ $$0P:(DE-H253)PIP1003775$$aMoch, S.$$b2
000615336 7001_ $$aPelloni, A.$$b3
000615336 7001_ $$aVogt, A.$$b4
000615336 773__ $$0PERI:(DE-600)1466612-1$$a10.1016/j.physletb.2024.139194$$gVol. 860, p. 139194 -$$p139194$$tPhysics letters / B$$v860$$x0031-9163$$y2025
000615336 7870_ $$0PUBDB-2025-01052$$aFalcioni, Giulio et.al.$$d2024$$iIsParent$$rarXiv:2410.08089 ; ZU-TH 47/24 ; DESY-24-144 ; LTH 1384$$tFour-loop splitting functions in QCD – the gluon-gluon case –
000615336 8564_ $$uhttps://bib-pubdb1.desy.de/record/615336/files/HTML-Approval_of_scientific_publication.html
000615336 8564_ $$uhttps://bib-pubdb1.desy.de/record/615336/files/PDF-Approval_of_scientific_publication.pdf
000615336 8564_ $$uhttps://bib-pubdb1.desy.de/record/615336/files/1-s2.0-S0370269324007524-main.pdf$$yOpenAccess
000615336 8564_ $$uhttps://bib-pubdb1.desy.de/record/615336/files/1-s2.0-S0370269324007524-main.pdf?subformat=pdfa$$xpdfa$$yOpenAccess
000615336 909CO $$ooai:bib-pubdb1.desy.de:615336$$pdnbdelivery$$pec_fundedresources$$pVDB$$pdriver$$popen_access$$popenaire
000615336 9101_ $$0I:(DE-HGF)0$$6P:(DE-H253)PIP1003775$$aExternal Institute$$b2$$kExtern
000615336 9131_ $$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$$x0
000615336 9141_ $$y2025
000615336 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)0160$$2StatID$$aDBCoverage$$bEssential Science Indicators$$d2024-12-18
000615336 915__ $$0LIC:(DE-HGF)CCBY4$$2HGFVOC$$aCreative Commons Attribution CC BY 4.0
000615336 915__ $$0StatID:(DE-HGF)0600$$2StatID$$aDBCoverage$$bEbsco Academic Search$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)0100$$2StatID$$aJCR$$bPHYS LETT B : 2022$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)0501$$2StatID$$aDBCoverage$$bDOAJ Seal$$d2022-09-05T14:12:53Z
000615336 915__ $$0StatID:(DE-HGF)0113$$2StatID$$aWoS$$bScience Citation Index Expanded$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)0500$$2StatID$$aDBCoverage$$bDOAJ$$d2022-09-05T14:12:53Z
000615336 915__ $$0StatID:(DE-HGF)0199$$2StatID$$aDBCoverage$$bClarivate Analytics Master Journal List$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)0150$$2StatID$$aDBCoverage$$bWeb of Science Core Collection$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)9900$$2StatID$$aIF < 5$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess
000615336 915__ $$0StatID:(DE-HGF)0571$$2StatID$$aDBCoverage$$bSCOAP3 sponsored Journal$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)1150$$2StatID$$aDBCoverage$$bCurrent Contents - Physical, Chemical and Earth Sciences$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)0420$$2StatID$$aNationallizenz$$d2024-12-18$$wger
000615336 915__ $$0StatID:(DE-HGF)0030$$2StatID$$aPeer Review$$bASC$$d2024-12-18
000615336 915__ $$0StatID:(DE-HGF)0570$$2StatID$$aSCOAP3
000615336 9201_ $$0I:(DE-H253)UNI_TH-20120731$$kUNI/TH$$lUni Hamburg / Theorie$$x0
000615336 980__ $$ajournal
000615336 980__ $$aVDB
000615336 980__ $$aUNRESTRICTED
000615336 980__ $$aI:(DE-H253)UNI_TH-20120731
000615336 9801_ $$aFullTexts