Hadronic light-by-light contribution to $(g-2{)}_{\mu }$: a dispersive approach

Abstract

After a brief introduction on ongoing experimental and theoretical activities on $(g-2{)}_{\mu }$, we report on recent progress in approaching the calculation of the hadronic light-by-light contribution with dispersive methods. General properties of the four-point function of the electromagnetic current in QCD, its Lorentz decomposition and dispersive representation are discussed. On this basis a numerical estimate for the pion box contribution and its rescattering corrections is obtained. We conclude with an outlook for this approach to the calculation of hadronic light-by-light.

18 pages, 5 figures. Proceedings of the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain. Plenary talk

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Cited by in corpus (5)

• The anomalous magnetic moment of the muon in the Standard Model
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• Light-by-light scattering in ultra-peripheral heavy-ion collisions at low diphoton masses
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD with SU(3) flavor symmetry
• Explicit form of the R-ratio of electron-positron annihilation into hadrons