Status and prospects of (g-2){sub {mu}} and {delta}{alpha}{sub QED}

A brief review of the status of the anomalous magnetic moment of the muon, (g-2){sub {mu}}, and the running of the electromagnetic coupling, {alpha}{sub QED}(q{sup 2}), is given. The discrepancy between the Standard Model prediction of g-2 and the measurement from BNL is discussed. The prospects for further improvements in the determination of the vacuum polarisation contributions are outlined.