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005     20230510115639.0
024 7 _ |a Blumlein:2022ndg
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024 7 _ |a inspire:2029248
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024 7 _ |a arXiv:2202.03216
|2 arXiv
024 7 _ |a 10.3204/PUBDB-2022-00964
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037 _ _ |a PUBDB-2022-00964
041 _ _ |a English
082 _ _ |a 530
088 _ _ |a DESY-21-028
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088 _ _ |a arXiv:2202.03216
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088 _ _ |a TTP-21-007
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088 _ _ |a RISC Report Series 22-01
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088 _ _ |a SAGEX-21-39
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088 _ _ |a DO-TH-21-33
|2 Fermilab
100 1 _ |a Blümlein, Johannes
|0 P:(DE-H253)PIP1003764
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|e Corresponding author
245 _ _ |a The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms
260 _ _ |c 2022
336 7 _ |a Preprint
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336 7 _ |a Electronic Article
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336 7 _ |a preprint
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336 7 _ |a ARTICLE
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336 7 _ |a Output Types/Working Paper
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500 _ _ |a 101 pages Latex
520 _ _ |a We calculate the unpolarized and polarized two-loop massless off--shell operator matrix elements in QCD to $O(\varepsilon)$ in the dimensional parameter in an automated way. Here we use the method of arbitrary high Mellin moments and difference ring theory, based on integration-by-parts relations. This method also constitutes one way to compute the QCD anomalous dimensions. The presented higher order contributions to these operator matrix elements occur as building blocks in the corresponding higher order calculations up to four--loop order. All contributing quantities can be expressed in terms of harmonic sums in Mellin--$N$ space or by harmonic polylogarithms in $z$--space. We also perform comparisons to the literature.
536 _ _ |a 611 - Fundamental Particles and Forces (POF4-611)
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536 _ _ |a SAGEX - Scattering Amplitudes: from Geometry to Experiment (764850)
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588 _ _ |a Dataset connected to INSPIRE
650 _ 7 |a quantum chromodynamics, operator
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650 _ 7 |a higher-order
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650 _ 7 |a anomalous dimension
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650 _ 7 |a off-shell
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650 _ 7 |a buildings
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650 _ 7 |a mathematical methods
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693 _ _ |a HERA
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700 1 _ |a Schönwald, Kay
|0 P:(DE-H253)PIP1026518
|b 1
700 1 _ |a Schneider, Carsten
|0 P:(DE-H253)PIP1093315
|b 2
700 1 _ |a Marquard, Peter
|0 P:(DE-H253)PIP1019895
|b 3
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856 4 _ |y OpenAccess
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910 1 _ |a Deutsches Elektronen-Synchrotron
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910 1 _ |a Deutsches Elektronen-Synchrotron
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910 1 _ |a External Institute
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910 1 _ |a Deutsches Elektronen-Synchrotron
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913 1 _ |a DE-HGF
|b Forschungsbereich Materie
|l Matter and the Universe
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|v Fundamental Particles and Forces
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914 1 _ |y 2022
915 _ _ |a OpenAccess
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915 _ _ |a Creative Commons Attribution CC BY 4.0
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915 _ _ |a Published
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920 1 _ |0 I:(DE-H253)Z_ZPPT-20210408
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980 _ _ |a preprint
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980 _ _ |a UNRESTRICTED
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