We review the present status of the theoretical evaluation of the anomalous magnetic moment of the muon in the Standard Model. We mainly focus on the hadronic contributions due to vacuum polarization effects, light-by-light scattering and higher order electroweak corrections. We discuss some recent calculations together with their uncertainties and limitations and point out possible improvements in the future.

PACS numbers: 13.40.Em, 14.60.Ef, 12.38.Lg, 12.39.Fe