Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm

Abstract

We present a new measurement of the positive muon magnetic anomaly, $a_{\mu }\equiv (g_{\mu }-2)/2$, from the Fermilab Muon $g-2$ Experiment using data collected in 2019 and 2020. We have analyzed more than 4 times the number of positrons from muon decay than in our previous result from 2018 data. The systematic error is reduced by more than a factor of 2 due to better running conditions, a more stable beam, and improved knowledge of the magnetic field weighted by the muon distribution, ${\tilde{\omega }}_p^{\prime }$, and of the anomalous precession frequency corrected for beam dynamics effects, ${\omega }_a$. From the ratio ${\omega }_a/{\tilde{\omega }}_p^{\prime }$, together with precisely determined external parameters, we determine $a_{\mu }=116592057(25)\times 10^{-11}$ (0.21 ppm). Combining this result with our previous result from the 2018 data, we obtain $a_{\mu }\text{(FNAL)}=116592055(24)\times 10^{-11}$ (0.20 ppm). The new experimental world average is $a_{\mu }(\text{Exp})=116592059(22)\times 10^{-11}$ (0.19 ppm), which represents a factor of 2 improvement in precision.

8 pages, 3 figures

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