%0 Generic %1 Asmussen2018Hadronic %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 %D 2018 %K g-2, lbyl %T Hadronic light-by-light scattering contribution to the muon g-2 on the lattice %U http://arxiv.org/abs/1801.04238 %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\_pi^0 gamma^* gamma^*(q\_1^2, q\_2^2) in the spacelike region with photon virtualities up to 1.5 GeV^2 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 gamma^* gamma^* -> hadrons fusion cross sections and then compared with phenomenological models.

@misc{Asmussen2018Hadronic, abstract = {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\_{pi^0 gamma^* gamma^*}(q\_1^2, q\_2^2) in the spacelike region with photon virtualities up to 1.5 GeV^2 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 gamma^* gamma^* -\> hadrons fusion cross sections and then compared with phenomenological models.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Asmussen, Nils and Gerardin, Antoine and Green, Jeremy and Gryniuk, Oleksii and von Hippel, Georg and Meyer, Harvey B. and Nyffeler, Andreas and Pascalutsa, Vladimir and Wittig, Hartmut}, biburl = {https://www.bibsonomy.org/bibtex/2835ed9346b85eca2d384d1fec385cc2a/cmcneile}, citeulike-article-id = {14517699}, citeulike-linkout-0 = {http://arxiv.org/abs/1801.04238}, citeulike-linkout-1 = {http://arxiv.org/pdf/1801.04238}, day = 12, eprint = {1801.04238}, interhash = {00d2dd7d49223124d3cede54d3f034df}, intrahash = {835ed9346b85eca2d384d1fec385cc2a}, keywords = {g-2, lbyl}, month = jan, posted-at = {2018-01-16 15:42:20}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Hadronic light-by-light scattering contribution to the muon g-2 on the lattice}}, url = {http://arxiv.org/abs/1801.04238}, year = 2018 }