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@INPROCEEDINGS{Ablinger:586516,
      author       = {Ablinger, J. and Behring, A. and Blümlein, J. and Freitas,
                      Abilio de and Goedicke, A. and von Manteuffel, A. and
                      Schneider, Carsten and Schönwald, K.},
      title        = {{R}ecent 3-{L}oop {H}eavy {F}lavor {C}orrections to
                      {D}eep-{I}nelastic {S}cattering},
      journal      = {Proceedings of Science / International School for Advanced
                      Studies},
      volume       = {(RADCOR2023)},
      issn         = {1824-8039},
      address      = {Trieste},
      publisher    = {SISSA},
      reportid     = {PUBDB-2023-03929, arXiv:2306.16550. DESY-23-089. DO-TH
                      23/09. CERN-TH-2023-122. ZU-TH 29/23. RISC Report Series
                      23-09. MSUHEP-23-018},
      series       = {2672890},
      pages        = {046},
      year         = {2023},
      abstract     = {We report on recent progress in calculating the three loop
                      QCD corrections of the heavy flavor contributions in
                      deep--inelastic scattering and the massive operator matrix
                      elements of the variable flavor number scheme. Notably we
                      deal with the operator matrix elements $A_{gg,Q}^{(3)}$ and
                      $A_{Qg}^{(3)}$ and technical steps to their calculation. In
                      particular, a new method to obtain the inverse Mellin
                      transform without computing the corresponding $N$--space
                      expressions is discussed.},
      month         = {May},
      date          = {2023-05-28},
      organization  = {16th International Symposium on
                       Radiative Corrections: Applications of
                       Quantum Field Theory to Phenomenology,
                       Crieff (United Kingdom), 28 May 2023 -
                       2 Jun 2023},
      keywords     = {quantum chromodynamics: correction (INSPIRE) / heavy quark
                      (INSPIRE) / flavor (INSPIRE) / deep inelastic scattering
                      (INSPIRE) / higher-order: 3 (INSPIRE) / loop integral
                      (INSPIRE) / Mellin transformation (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)
                      / TOPUP - Theory of particle collider processes at ultimate
                      precision (101019620)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)764850 /
                      G:(EU-Grant)101019620},
      experiment   = {EXP:(DE-H253)LHC-Exp-ATLAS-20150101},
      typ          = {PUB:(DE-HGF)16 / PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      eprint       = {2306.16550},
      howpublished = {arXiv:2306.16550},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2306.16550;\%\%$},
      doi          = {10.3204/PUBDB-2023-03982},
      url          = {https://bib-pubdb1.desy.de/record/586516},
}