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000474742 1001_ $$0P:(DE-H253)PIP1003764$$aBlümlein, Johannes$$b0$$eCorresponding author
000474742 245__ $$aThe Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms
000474742 260__ $$c2022
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000474742 520__ $$aWe calculate the unpolarized and polarized two-loop massless off--shell operator matrix elements in QCD to $O(\varepsilon)$ in the dimensional parameter in an automated way. Here we use the method of arbitrary high Mellin moments and difference ring theory, based on integration-by-parts relations. This method also constitutes one way to compute the QCD anomalous dimensions. The presented higher order contributions to these operator matrix elements occur as building blocks in the corresponding higher order calculations up to four--loop order. All contributing quantities can be expressed in terms of harmonic sums in Mellin--$N$ space or by harmonic polylogarithms in $z$--space. We also perform comparisons to the literature.
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000474742 650_7 $$2INSPIRE$$aquantum chromodynamics, operator
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000474742 7001_ $$0P:(DE-H253)PIP1026518$$aSchönwald, Kay$$b1
000474742 7001_ $$0P:(DE-H253)PIP1093315$$aSchneider, Carsten$$b2
000474742 7001_ $$0P:(DE-H253)PIP1019895$$aMarquard, Peter$$b3
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000474742 9141_ $$y2022
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