Hadronic contribution to the muon g-2 from a Dyson-Schwinger perspective

A novel approach towards the hadronic contributions to the anomalous magnetic moment of the muon aμ is presented, namely the Dyson-Schwinger equations of QCD. It has the advantage of being valid for all momentum scales and has the potential to address off-shell amplitudes. We present our first results for the pseudoscalar (PS) meson exchange and the quark loop contributions. The meson exchange (π0,η,η'), aμLBL;PS = (84±13)x10-11, is commensurate with previous calculations, while the quark loop contribution aμLBL;quarloop (107±48)x10-11, is strongly enhanced by vertex dressing effects in the quark photon vertex. Taken seriously this leads to the estimate of aμ 116 591 865.0(96.6)x10-11, giving a 1.9 σ deviation between theory and experiment.