Measurement of the muon magnetic anomaly $a_{\mu }$ 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 $a_{\mu }(\mathrm{F}\mathrm{N}\mathrm{A}\mathrm{L})=116592040(54)\times {10}^{-11}(\text{0.46}\text{ppm})$, combined with the previous experimental measurement, results in a discrepancy of $(251\pm 59)\times {10}^{-11}$ with the theoretical prediction, corresponding to $4.2\sigma$. This note presents the first results, the current status and the future prospects of the Muon g-2 experiment at Fermilab.