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@ARTICLE{Moch:481428,
      author       = {Moch, S. and Ruijl, B. and Ueda, T. and Vermaseren, J. A.
                      M. and Vogt, A.},
      title        = {{L}ow moments of the four-loop splitting functions in
                      {QCD}},
      journal      = {Physics letters / B},
      volume       = {825},
      issn         = {0370-2693},
      address      = {Amsterdam},
      publisher    = {North-Holland Publ.},
      reportid     = {PUBDB-2022-04360, arXiv:2111.15561. DESY 21-203. NIKHEF
                      21-030. LTH 1282},
      pages        = {136853},
      year         = {2022},
      note         = {11 pages, LaTeX, 2 figures. Analytical results in ancillary
                      FORM file},
      abstract     = {We have computed the four lowest even-N moments of all four
                      splitting functions for the evolution of flavour-singlet
                      parton densities of hadrons at the fourth order in the
                      strong coupling constant αs. The perturbative expansion of
                      these moments, and hence of the splitting functions for
                      momentum fractions x≳0.1, is found to be well behaved with
                      relative αs-coefficients of order one and sub-percent
                      effects on the scale derivatives of the quark and gluon
                      distributions at αs≲0.2. More intricate computations,
                      including other approaches such as the operator-product
                      expansion, are required to cover the full x-range relevant
                      to LHC analyses. Our results are presented analytically for
                      a general gauge group for detailed checks and validations of
                      such future calculations.},
      keywords     = {strong interaction: coupling constant (INSPIRE) / parton:
                      density (INSPIRE) / evolution equation (INSPIRE) / DGLAP
                      equation (INSPIRE) / splitting function (INSPIRE) / operator
                      product expansion (INSPIRE) / quantum chromodynamics
                      (INSPIRE) / quark (INSPIRE) / gluon (INSPIRE) / perturbation
                      theory (INSPIRE) / higher-order: 4 (INSPIRE) / Mellin
                      transformation (INSPIRE)},
      cin          = {UNI/TH},
      ddc          = {530},
      cid          = {$I:(DE-H253)UNI_TH-20120731$},
      pnm          = {899 - ohne Topic (POF4-899)},
      pid          = {G:(DE-HGF)POF4-899},
      experiment   = {EXP:(DE-H253)LHC-Exp-ATLAS-20150101 /
                      EXP:(DE-H253)LHC-Exp-CMS-20150101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2111.15561},
      howpublished = {arXiv:2111.15561},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2111.15561;\%\%$},
      UT           = {WOS:000778434900003},
      doi          = {10.1016/j.physletb.2021.136853},
      url          = {https://bib-pubdb1.desy.de/record/481428},
}