Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited

Abstract

We discuss hadronic light-by-light scattering contribution to the muon anomalous magnetic moment a_μ^{\rm lbl}, paying particular attention to the consistent matching between the short- and the long-distance behavior of the light-by-light scattering amplitude. We argue that the short-distance QCD imposes strong constraints on this amplitude overlooked in previous analyses. We find that accounting for these constraints leads to approximately 50 per cent increase in the central value of a_μ^{\rm lbl}, compared to existing estimates. The hadronic light-by-light scattering contribution becomes a_μ^{\rm lbl}=136(25) \times 10^{-11}, thereby shifting the Standard Model prediction closer to the experimental value.