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@ARTICLE{Blmlein:478836,
      author       = {Blümlein, J. and Marquard, Peter and Schneider, C. and
                      Schönwald, K.},
      title        = {{T}he two-loop massless off-shell {QCD} operator matrix
                      elements to finite terms},
      journal      = {Nuclear physics / B},
      volume       = {980},
      issn         = {0550-3213},
      address      = {Amsterdam},
      publisher    = {North-Holland Publ. Co.},
      reportid     = {PUBDB-2022-02786, arXiv:2202.03216. DESY-21-028. DO-TH
                      21-33. TTP 21-007. RISC Report Series 22-01. SAGEX-21-39},
      pages        = {115794},
      year         = {2022},
      note         = {101 pages Latex},
      abstract     = {We calculate the unpolarized and polarized two–loop
                      massless off–shell operator matrix elements in QCD to
                      O(ε) 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.},
      keywords     = {quantum chromodynamics: operator (INSPIRE) / higher-order
                      (INSPIRE) / anomalous dimension (INSPIRE) / off-shell
                      (INSPIRE) / Mellin transformation (INSPIRE) / mathematical
                      methods (INSPIRE)},
      cin          = {$Z_ZPPT$},
      ddc          = {530},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / SAGEX -
                      Scattering Amplitudes: from Geometry to Experiment (764850)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)764850},
      experiment   = {EXP:(DE-588)4443767-5},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2202.03216},
      howpublished = {arXiv:2202.03216},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2202.03216;\%\%$},
      UT           = {WOS:000812150200008},
      doi          = {10.1016/j.nuclphysb.2022.115794},
      url          = {https://bib-pubdb1.desy.de/record/478836},
}