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@ARTICLE{Blmlein:475048,
      author       = {Blümlein, Johannes and Schneider, Carsten},
      title        = {{T}he {SAGEX} {R}eview on {S}cattering {A}mplitudes,
                      {C}hapter 4: {M}ulti-loop {F}eynman {I}ntegrals},
      reportid     = {PUBDB-2022-01160, DESY-22-032. arXiv:2203.13015.
                      SAGEX-22-05. DO-TH 22/07. RISC Report number 22--03},
      year         = {2022},
      note         = {40 pages, see also the overview article},
      abstract     = {The analytic integration and simplification of multi-loop
                      Feynman integrals to special functions and constants plays
                      an important role to perform higher order perturbative
                      calculations in the Standard Model of elementary particles.
                      In this survey article the most recent and relevant computer
                      algebra and special function algorithms are presented that
                      are currently used or that may play an important role to
                      perform such challenging precision calculations in the
                      future. They are discussed in the context of analytic zero,
                      single and double scale calculations in the Quantum Field
                      Theories of the Standard Model and effective field theories,
                      also with classical applications. These calculations play a
                      central role in the analysis of precision measurements at
                      present and future colliders to obtain ultimate information
                      for fundamental physics.},
      keywords     = {computer, algebra (INSPIRE) / Feynman graph (INSPIRE) /
                      scattering amplitude (INSPIRE) / higher-order (INSPIRE) /
                      field theory (INSPIRE) / effective field theory (INSPIRE)},
      cin          = {$Z_ZPPT$},
      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-H253)LHC-Exp-other-20150101 /
                      EXP:(DE-H253)ALPS-20150101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2203.13015},
      howpublished = {arXiv:2203.13015},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2203.13015;\%\%$},
      doi          = {10.3204/PUBDB-2022-01160},
      url          = {https://bib-pubdb1.desy.de/record/475048},
}