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000617312 005__ 20241117103035.0
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000617312 0247_ $$2arXiv$$aarXiv:2302.07593
000617312 0247_ $$2datacite_doi$$a10.3204/PUBDB-2024-06698
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000617312 088__ $$2arXiv$$aarXiv:2302.07593
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000617312 1001_ $$0P:(DE-H253)PIP1024615$$aFalcioni, Giulio$$b0$$udesy
000617312 245__ $$aFour-loop splitting functions in QCD – The quark-quark case
000617312 260__ $$c2023
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000617312 500__ $$a17 pages latex, 2 figures, 2 ancillary files (FORM file with results and FORTRAN subroutine)
000617312 520__ $$aWe present the even-$N$ moments $N\leq 20$ of the quark pure-singlet splitting function $P_{\rm ps}^{}$ at four loops in perturbative QCD.We have computed the anomalous dimensions of off-shell flavor-singlet operatormatrix elements analytically for a general gauge group.We provide approximations for $P_{\rm ps}^{}$ at four loops that are sufficient for all collider-physics applications.Together with the known results for the non-singlet splitting function $P_{\rm ns}^{\,+}$ at this order, this completes the quark-quark case, $P_{\rm qq} = P_{\rm ns}^{\,+} + P_{\rm ps}^{}$, entering the evolution of parton distribution at N$^3$LO accuracy. The new result is a first step to reduce the residual uncertainty in the parton evolution to percent level precision. 
000617312 536__ $$0G:(DE-HGF)POF4-611$$a611 - Fundamental Particles and Forces (POF4-611)$$cPOF4-611$$fPOF IV$$x0
000617312 536__ $$0G:(GEPRIS)353758087$$aDFG project G:(GEPRIS)353758087 - Kosmopolitismus und Charakter in der afroamerikanischen Literatur des neunzehnten Jahrhunderts (353758087)$$c353758087$$x1
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000617312 650_7 $$2INSPIRE$$aquark: splitting function
000617312 650_7 $$2INSPIRE$$aquantum chromodynamics: perturbation theory
000617312 650_7 $$2INSPIRE$$aparton: distribution function
000617312 650_7 $$2INSPIRE$$aevolution equation
000617312 650_7 $$2INSPIRE$$ahigher-order: 4
000617312 650_7 $$2INSPIRE$$aquark quark
000617312 650_7 $$2INSPIRE$$aanomalous dimension
000617312 650_7 $$2INSPIRE$$aoff-shell
000617312 650_7 $$2INSPIRE$$aCERN LHC Coll
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000617312 693__ $$0EXP:(DE-H253)LHC-Exp-CMS-20150101$$1EXP:(DE-588)4398783-7$$5EXP:(DE-H253)LHC-Exp-CMS-20150101$$aLHC$$eLHC: CMS$$x1
000617312 693__ $$0EXP:(DE-H253)LHC-Exp-LHCb-20150101$$1EXP:(DE-588)4398783-7$$5EXP:(DE-H253)LHC-Exp-LHCb-20150101$$aLHC$$eLHC: LHCb$$x2
000617312 7001_ $$0P:(DE-HGF)0$$aHerzog, F.$$b1
000617312 7001_ $$0P:(DE-H253)PIP1003775$$aMoch, Sven-Olaf$$b2$$eCorresponding author
000617312 7001_ $$0P:(DE-HGF)0$$aVogt, A.$$b3
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