title: Lattice QCD Calculation of Hadronic Light-by-Light Scattering.
abstract: We perform a lattice QCD calculation of the hadronic light-by-light scattering amplitude in a broad kinematical range. At forward kinematics, the results are compared to a phenomenological analysis based on dispersive sum rules for light-by-light scattering. The size of the pion pole contribution is investigated for momenta of typical hadronic size. The presented numerical methods can be used to compute the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. Our calculations are carried out in two-flavor QCD with the pion mass in the range of 270-450 MeV and contain so far only the diagrams with fully connected quark lines.
authors.affiliation: PRISMA Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany.
authors.forename: Jeremy
authors.initials: J
authors.lastname: Green
authors.affiliation: PRISMA Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany.|Taras Shevchenko Kyiv National University, Volodymyrska 60, UA-01033 Kyiv, Ukraine.
authors.forename: Oleksii
authors.initials: O
authors.lastname: Gryniuk
authors.affiliation: PRISMA Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany.
authors.forename: Georg
authors.initials: G
authors.lastname: von Hippel
authors.affiliation: PRISMA Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany.|Helmholtz Institut Mainz, D-55099 Mainz, Germany.
authors.forename: Harvey B
authors.initials: HB
authors.lastname: Meyer
authors.affiliation: PRISMA Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany.
authors.forename: Vladimir
authors.initials: V
authors.lastname: Pascalutsa