Hadronic contribution to the muon : A Dyson–Schwinger perspective

We summarize our results for hadronic contributions to the anomalous magnetic moment of the muon ( a μ ) , the one from hadronic vacuum-polarization (HVP) and the light-by-light scattering contribution (LBL), obtained from the Dyson–Schwinger equations (DSEs) of QCD. In the case of HVP we find good agreement with model independent determinations from dispersion relations for a μ HV P as well as for the Adler function with deviations well below the ten percent level. From this we conclude that the DSE approach should be capable of describing a μ LBL with similar accuracy. We also present results for LBL using a resonance expansion of the quark–anti-quark T -matrix. Our preliminary value is a μ LBL = ( 217 ± 91 ) × 1 0 − 11 .