%0 Conference Paper
%A Asmussen, Nils
%A Gerardin, Antoine
%A Green, Jeremy
%A Gryniuk, Oleksii
%A von Hippel, Georg
%A Meyer, Harvey B.
%A Nyffeler, Andreas
%A Pascalutsa, Vladimir
%A Wittig, Hartmut
%T Hadronic light-by-light scattering contribution to the muon g-2 on the lattice
%N DESY-18-007
%M PUBDB-2018-00802
%M DESY-18-007
%M MITP-18-001
%M arXiv:1801.04238
%P 8
%D 2018
%X We briefly review several activities at Mainz related to hadronic light-by-light scattering (HLbL) using lattice QCD. First we present a position-space approach to the HLbL contribution in the muon g-2, where we focus on exploratory studies of the pion-pole contribution in a simple model and the lepton loop in QED in the continuum and in infinite volume. The second part describes a lattice calculation of the double-virtual pion transition form factor F<sub>pi<sup>0</sup> γ<sup>*</sup> γ<sup>*</sup></sub>(q<sub>1</sub><sup>2</sup>, q<sub>2</sub><sup>2</sup>) in the spacelike region with photon virtualities up to 1.5 GeV<sup>2</sup> which paves the way for a lattice calculation of the pion-pole contribution to HLbL. The third topic involves HLbL forward scattering amplitudes calculated in lattice QCD which can be described, using dispersion relations (HLbL sum rules), by γ<sup>*</sup> γ<sup>*</sup> → hadrons fusion cross sections and then compared with phenomenological models.
%B Workshop on Flavour changing and conserving processes
%C 7 Sep 2017 - 9 Sep 2017, Anacapri, Capri Island (Italy)
Y2 7 Sep 2017 - 9 Sep 2017
M2 Anacapri, Capri Island, Italy
%F PUB:(DE-HGF)29 ; PUB:(DE-HGF)8
%9 ReportContribution to a conference proceedings
%R 10.3204/PUBDB-2018-00802
%U https://bib-pubdb1.desy.de/record/399634