000472098 001__ 472098 000472098 005__ 20230214113143.0 000472098 0247_ $$2INSPIRETeX$$aMoch:2021qrk 000472098 0247_ $$2inspire$$ainspire:1981444 000472098 0247_ $$2arXiv$$aarXiv:2111.15561 000472098 0247_ $$2altmetric$$aaltmetric:117892483 000472098 037__ $$aPUBDB-2021-04837 000472098 041__ $$aEnglish 000472098 088__ $$2DESY$$aDESY-21-203 000472098 088__ $$2NIKHEF$$aNIKHEF 21-030 000472098 088__ $$2Other$$aLTH 1282 000472098 088__ $$2arXiv$$aarXiv:2111.15561 000472098 082__ $$a530 000472098 1001_ $$0P:(DE-H253)PIP1003775$$aMoch, Sven-Olaf$$b0$$eCorresponding author 000472098 245__ $$aLow moments of the four-loop splitting functions in QCD 000472098 3367_ $$0PUB:(DE-HGF)25$$2PUB:(DE-HGF)$$aPreprint$$bpreprint$$mpreprint$$s1643024704_4615 000472098 3367_ $$2ORCID$$aWORKING_PAPER 000472098 3367_ $$028$$2EndNote$$aElectronic Article 000472098 3367_ $$2DRIVER$$apreprint 000472098 3367_ $$2BibTeX$$aARTICLE 000472098 3367_ $$2DataCite$$aOutput Types/Working Paper 000472098 500__ $$a11 pages, LaTeX, 2 figures. Analytical results in ancillary FORM file 000472098 520__ $$aWe have computed the four lowest even-N moments of all four splitting functions for the evolution of flavour-singlet parton densities of hadrons at the fourth order in the strong coupling constant $\alpha_s$. The perturbative expansion of these moments, and hence of the splitting functions for momentum fractions $x \gtrsim 0.1$, is found to be well behaved with relative $\alpha_s$-coefficients of order one and sub-percent effects on the scale derivatives of the quark and gluon distributions at $\alpha_s \lesssim 0.2$. More intricate computations, including other approaches such as the operator-product expansion, are required to cover the full x-range relevant to LHC analyses. Our results are presented analytically for a general gauge group for detailed checks and validations of such future calculations. 000472098 536__ $$0G:(DE-HGF)POF4-611$$a611 - Fundamental Particles and Forces (POF4-611)$$cPOF4-611$$fPOF IV$$x0 000472098 588__ $$aDataset connected to arXivarXiv 000472098 650_7 $$2INSPIRE$$astrong interaction: coupling constant 000472098 650_7 $$2INSPIRE$$aparton: density 000472098 650_7 $$2INSPIRE$$aevolution equation 000472098 650_7 $$2INSPIRE$$aDGLAP equation 000472098 650_7 $$2INSPIRE$$asplitting function 000472098 650_7 $$2INSPIRE$$aoperator product expansion 000472098 650_7 $$2INSPIRE$$aquantum chromodynamics 000472098 650_7 $$2INSPIRE$$aquark 000472098 650_7 $$2INSPIRE$$agluon 000472098 650_7 $$2INSPIRE$$aperturbation theory 000472098 650_7 $$2INSPIRE$$ahigher-order: 4 000472098 650_7 $$2INSPIRE$$aMellin transformation 000472098 693__ $$0EXP:(DE-H253)LHC-Exp-ATLAS-20150101$$1EXP:(DE-588)4398783-7$$5EXP:(DE-H253)LHC-Exp-ATLAS-20150101$$aLHC$$eLHC: ATLAS$$x0 000472098 693__ $$0EXP:(DE-H253)LHC-Exp-CMS-20150101$$1EXP:(DE-588)4398783-7$$5EXP:(DE-H253)LHC-Exp-CMS-20150101$$aLHC$$eLHC: CMS$$x1 000472098 7001_ $$0P:(DE-HGF)0$$aRuijl, Ben$$b1 000472098 7001_ $$0P:(DE-HGF)0$$aUeda, Takahiro$$b2 000472098 7001_ $$0P:(DE-HGF)0$$aVogt, Andreas$$b3 000472098 7001_ $$0P:(DE-HGF)0$$aVermaseren, Jos$$b4 000472098 8564_ $$uhttps://bib-pubdb1.desy.de/record/472098/files/HTML-Approval_of_scientific_publication.html 000472098 8564_ $$uhttps://bib-pubdb1.desy.de/record/472098/files/PDF-Approval_of_scientific_publication.pdf 000472098 8564_ $$uhttps://bib-pubdb1.desy.de/record/472098/files/2111.15561.pdf$$yOpenAccess 000472098 8564_ $$uhttps://bib-pubdb1.desy.de/record/472098/files/2111.15561.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000472098 909CO $$ooai:bib-pubdb1.desy.de:472098$$pVDB 000472098 9141_ $$y2021 000472098 915__ $$0StatID:(DE-HGF)0580$$2StatID$$aPublished 000472098 9101_ $$0I:(DE-HGF)0$$6P:(DE-H253)PIP1003775$$aExternal Institute$$b0$$kExtern 000472098 9131_ $$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$$x0 000472098 9201_ $$0I:(DE-H253)UNI_TH-20120731$$kUNI/TH$$lUni Hamburg / Theorie$$x0 000472098 980__ $$apreprint 000472098 980__ $$aVDB 000472098 980__ $$aI:(DE-H253)UNI_TH-20120731 000472098 980__ $$aUNRESTRICTED