Effective Lagrangian approach to precision measurements: Anomalous magnetic moment of the muon

We investigate the use of effective Lagrangians to describe the effects on high-precision observables of physics beyond the standard model. Using the anomalous magnetic moment of the muon as an example, we detail the use of effective vertices in loop calculations. We then provide estimates of the sensitivity of new experiments measuring the muon's $g-2\mathrm{}$ to the scale of physics underlying the standard model.