Hadronic light-by-light scattering contribution to the muon g – 2 on the lattice
PRISMA Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
2 Helmholtz Institut Mainz, D-55099 Mainz, Germany
3 John von Neumann Institute for Computing (NIC), DESY, Platanenallee, Zeuthen, D-15738 Germany
* Speaker, e-mail: firstname.lastname@example.org
Published online: 23 May 2018
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 g̅2, 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 Fπ0γ*γ* (q21; q21) in the spacelike region with photon virtualities up to 1.5 GeV2 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*γ* → hadrons fusion cross sections and then compared with phenomenological models.
© The Authors, published by EDP Sciences, 2018
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