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@ARTICLE{Papathanasiou:479859,
      author       = {Papathanasiou, Georgios},
      title        = {{T}he {SAGEX} {R}eview on {S}cattering {A}mplitudes,
                      {C}hapter 5: {A}nalytic {B}ootstraps for {S}cattering
                      {A}mplitudes and {B}eyond},
      journal      = {Journal of physics / A},
      volume       = {55},
      number       = {44},
      issn         = {1751-8113},
      address      = {Bristol},
      publisher    = {IOP Publ.},
      reportid     = {PUBDB-2022-03250, DESY-22-055. arXiv:2203.13016},
      pages        = {443006},
      year         = {2022},
      note         = {55 pages, see also the overview article},
      abstract     = {One of the main challenges in obtaining predictions for
                      collider experiments from perturbative quantum field theory,
                      is the direct evaluation of the Feynman integrals it gives
                      rise to. In this chapter, we review an alternative bootstrap
                      method that instead efficiently constructs physical
                      quantities by exploiting their analytic structure. We
                      present in detail the setting where this method has been
                      originally developed, six- and seven-particle amplitudes in
                      the large-color limit of $\mathcal{N}=4$ super Yang-Mills
                      theory. We discuss the class of functions these amplitudes
                      belong to, and the strong clues mathematical objects known
                      as cluster algebras provide for rendering this function
                      space both finite and of relatively small dimension at each
                      loop order. We then describe how to construct this function
                      space, as well as how to locate the amplitude inside of it
                      with the help of kinematic limits, and apply the general
                      procedure to a concrete example: The determination of the
                      two-loop correction to the first nontrivial six-particle
                      amplitude. We also provide an overview of other areas where
                      the realm of the bootstrap paradigm is expanding, including
                      other scattering amplitudes, form factors and Feynman
                      integrals, and point out the analytic properties of
                      potentially wider applicability that it has revealed.},
      keywords     = {algebra: cluster (INSPIRE) / gauge field theory: Yang-Mills
                      (INSPIRE) / bootstrap (INSPIRE) / scattering amplitude
                      (INSPIRE) / Feynman graph (INSPIRE) / analytic properties
                      (INSPIRE) / kinematics (INSPIRE) / perturbation (INSPIRE) /
                      form factor (INSPIRE) / supersymmetry: 4 (INSPIRE)},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / SAGEX -
                      Scattering Amplitudes: from Geometry to Experiment (764850)
                      / DFG project 390833306 - EXC 2121: Quantum Universe
                      (390833306)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)764850 /
                      G:(GEPRIS)390833306},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2203.13016},
      howpublished = {arXiv:2203.13016},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2203.13016;\%\%$},
      UT           = {WOS:000900760400001},
      doi          = {10.1088/1751-8121/ac7e8e},
      url          = {https://bib-pubdb1.desy.de/record/479859},
}