Hadronic light-by-light scattering contribution to the muon g-2 on the lattice

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.

arXiv comment8 pages, 19 figures, contribution to the proceedings of FCCP2017 - Workshop on "Flavour changing and conserving processes", 7-9 September 2017, Anacapri, Capri Island, Italy

References in corpus (22)

• The Muon g-2
• Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution
• The strange quark mass and Lambda parameter of two flavor QCD
• Resonance estimates of O(p^6) low-energy constants and QCD short-distance constraints
• High-precision calculation of the 4-loop contribution to the electron g-2 in QED
• Muon g-2 Theory: the Hadronic Part
• Light-by-light scattering sum rules in light of new data
• Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment
• Hadronic light-by-light scattering in the muon g-2: a new short-distance constraint on pion exchange
• Anomalous magnetic moment of the muon in a dispersive approach
• Chiral Sum-Rules for ${\mathcal{L}}_{(6)}^{WZ}$ Parameters and Application to ${\pi }^0,\eta ,{\eta }^{\prime }$ Decays
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Lattice QCD calculation of hadronic light-by-light scattering
• f_1(1285) Formation in Two-Photon Collisions at LEP
• Studying Hadronic Structure of the Photon in Lattice QCD
• Leading-order hadronic contribution to the electron and muon g-2
• Pion light-by-light contributions to the muon $g-2$
• Sum rules for light-by-light scattering
• Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
• Dissecting the hadronic contributions to $(g-2{)}_{\mu }$ by Schwinger's sum rule
• Two-loop massive scalar three-point function in a dispersive approach
• On the Hadronic light-by-light contribution to the muon $g-2$

Cited by in corpus (14)

• The anomalous magnetic moment of the muon in the Standard Model
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• Kaon-box contribution to the anomalous magnetic moment of the muon
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Lattice QCD and the anomalous magnetic moment of the muon
• Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon
• Finite-volume effects in $(g-2{)}_{\mu }^{\text{HVP,LO}}$
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• Finite-volume and thermal effects in the leading-HVP contribution to muonic $(g-2)$
• Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel
• Elastic light-by-light scattering in a nonminimal Lorentz violation scenario
• On the Hadronic light-by-light contribution to the muon $g-2$