Thema: Das anomale magnetische Moment des Myons - neue Physik jenseits des Standardmodells ? Abstract: The muon anomalous magnetic moment is one of the most precisely measured quantities in particle physics. New high precision measurements at Brookhaven indicate a 2.6 sigma deviation from the electroweak Standard Model and thus could signal a contribution from yet unknown new physics. I review the status of the theoretical predictions and in particular discuss the role of hadronic vacuum polarization effects and the light--by--light scattering contribution. Possible explanations for the deviation are presented.