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@ARTICLE{Grardin:414705,
      author       = {Gérardin, Antoine and Green, Jeremy and Gryniuk, Oleksii
                      and von Hippel, Georg and Meyer, Harvey B. and Pascalutsa,
                      Vladimir and Wittig, Hartmut},
      title        = {{H}adronic light-by-light scattering amplitudes from
                      lattice {QCD} versus dispersive sum rules},
      journal      = {Physical review / D},
      volume       = {98},
      number       = {7},
      issn         = {2470-0010},
      address      = {Melville, NY},
      publisher    = {APS},
      reportid     = {PUBDB-2018-04147, MITP-17-088. DESY-17-202.
                      arXiv:1712.00421},
      pages        = {074501},
      year         = {2018},
      abstract     = {The hadronic contribution to the eight forward amplitudes
                      of light-by-light scattering ($\gamma^*\gamma^*\to
                      \gamma^*\gamma^*$) is computed in lattice QCD. Via
                      dispersive sum rules, the amplitudes are compared to a model
                      of the $\gamma^*\gamma^*\to {\rm hadrons}$ cross sections in
                      which the fusion process is described by hadronic
                      resonances. Our results thus provide an important test for
                      the model estimates of hadronic light-by-light scattering in
                      the anomalous magnetic moment of the muon, $a_\mu^{\rm
                      HLbL}$. Using simple parametrizations of the resonance $M\to
                      \gamma^*\gamma^*$ transition form factors, we determine the
                      corresponding monopole and dipole masses by performing a
                      global fit to all eight amplitudes. Together with a previous
                      dedicated calculation of the $\pi^0\to \gamma^*\gamma^*$
                      transition form factor, our calculation provides valuable
                      information for phenomenological estimates of $a_\mu^{\rm
                      HLbL}$. The presented calculations are performed in
                      two-flavor QCD with pion masses extending down to 190\,MeV
                      at two different lattice spacings. In addition to the fully
                      connected Wick contractions, on two lattice ensembles we
                      also compute the (2+2) disconnected class of diagrams, and
                      find that their overall size is compatible with a
                      parameter-free, large-$N$ inspired prediction, where $N$ is
                      the number of colors. Motivated by this observation, we
                      estimate in the same way the disconnected contribution to
                      $a_\mu^{\rm HLbL}$.},
      cin          = {ZEU-NIC},
      ddc          = {530},
      cid          = {I:(DE-H253)ZEU-NIC-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611)},
      pid          = {G:(DE-HGF)POF3-611},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)29 / PUB:(DE-HGF)16},
      eprint       = {1712.00421},
      howpublished = {arXiv:1712.00421},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1712.00421;\%\%$},
      UT           = {WOS:000446298100002},
      doi          = {10.1103/PhysRevD.98.074501},
      url          = {https://bib-pubdb1.desy.de/record/414705},
}