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000472098 0247_ $$2arXiv$$aarXiv:2111.15561
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000472098 037__ $$aPUBDB-2021-04837
000472098 041__ $$aEnglish
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000472098 088__ $$2arXiv$$aarXiv:2111.15561
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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$$s1643024704_4615
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000472098 500__ $$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
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000472098 8564_ $$uhttps://bib-pubdb1.desy.de/record/472098/files/2111.15561.pdf$$yOpenAccess
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000472098 9141_ $$y2021
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000472098 9201_ $$0I:(DE-H253)UNI_TH-20120731$$kUNI/TH$$lUni Hamburg / Theorie$$x0
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