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@ARTICLE{Blmlein:474742,
      author       = {Blümlein, Johannes and Schönwald, Kay and Schneider,
                      Carsten and Marquard, Peter},
      title        = {{T}he {T}wo-{L}oop {M}assless {O}ff-{S}hell {QCD}
                      {O}perator {M}atrix {E}lements to {F}inite {T}erms},
      reportid     = {PUBDB-2022-00964, DESY-21-028. arXiv:2202.03216.
                      TTP-21-007. RISC Report Series 22-01. SAGEX-21-39.
                      DO-TH-21-33},
      year         = {2022},
      note         = {101 pages Latex},
      abstract     = {We calculate the unpolarized and polarized two-loop
                      massless off--shell operator matrix elements in QCD to
                      $O(\varepsilon)$ 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.},
      keywords     = {quantum chromodynamics, operator (INSPIRE) / higher-order
                      (INSPIRE) / anomalous dimension (INSPIRE) / off-shell
                      (INSPIRE) / buildings (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)25},
      eprint       = {2202.03216},
      howpublished = {arXiv:2202.03216},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2202.03216;\%\%$},
      doi          = {10.3204/PUBDB-2022-00964},
      url          = {https://bib-pubdb1.desy.de/record/474742},
}