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This paper will cover the physics and methods behind Fermilab's Muon g-2Experiment, along with the long-awaited results from Run-1. The experiment wasundertaken to resolve the tension between the Standard Model and the previousmeasurement taken at Brookhaven National Laboratory. The measured value of themuon magnetic anomaly is $a_\mu(FNAL)=116592040(54)\times10^{-11}$. This resultis in good agreement with Brookhaven's previous measurement. The new worldaverage, $a_\mu(Exp)=116592061(41)\times10^{-11}$, shows a difference from thetheoretical value of the Standard Model (SM),$a_\mu(SM)=116591810(43)\times10^{-11}$, of 4.2 standard deviations, stronglyhinting at physics beyond the Standard Model. The experiment requires thesimultaneous measurement of the muon precession frequency, the magnetic field,and the muons' distribution in the field. All three of these measurements willbe discussed in context, along with the main systematic corrections anduncertainties.

The First Measurement of the Muon Anomalous Magnetic Moment from the Fermilab Muon $g-2$ Collaboration