Measurement of the Muon Magnetic Anomaly a_μ in the Muon g-2 Experiment at Fermilab

The Fermilab Muon g-2 experiment measures the muon anomalous magnetic moment with high precision. Together with recent improvements on the theory front, the first results of the experiment confirm the long-standing discrepancy between the experimental measurements and the Standard Model predictions. The observed value of a_μ(FNAL)=116 592 040(54)× 10^-11(0.46 ppm) , combined with the previous experimental measurement, results in a discrepancy of (251± 59)× 10^-11 with the theoretical prediction, corresponding to 4.2σ . This note presents the first results, the current status and the future prospects of the Muon g-2 experiment at Fermilab.