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    Detailed report on the measurement of the positive muon anomalous magnetic moment to 0.20 ppm
    (American physical society, 2024) Aguillard, D. P.; Albahri, T.; Allspach, D.; Hacıömeroğlu, Selçuk
    We present details on a new measurement of the muon magnetic anomaly, aμ=(gμ-2)/2. The result is based on positive muon data taken at Fermilab's Muon Campus during the 2019 and 2020 accelerator runs. The measurement uses 3.1 GeV/c polarized muons stored in a 7.1-m-radius storage ring with a 1.45 T uniform magnetic field. The value of aμ is determined from the measured difference between the muon spin precession frequency and its cyclotron frequency. This difference is normalized to the strength of the magnetic field, measured using nuclear magnetic resonance. The ratio is then corrected for small contributions from beam motion, beam dispersion, and transient magnetic fields. We measure aμ=116592057(25)×10-11 (0.21 ppm). This is the world's most precise measurement of this quantity and represents a factor of 2.2 improvement over our previous result based on the 2018 dataset. In combination, the two datasets yield aμ(FNAL)=116592055(24)×10-11 (0.20 ppm). Combining this with the measurements from Brookhaven National Laboratory for both positive and negative muons, the new world average is aμ(exp)=116592059(22)×10-11 (0.19 ppm).
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    Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
    (Amer Physical Soc, 2023) Aguillard, D. P.; Albahri, T.; Allspach, D.; Anisenkov, A.; Badgley, K.; Baessler, S.; Bailey, I.
    We present a new measurement of the positive muon magnetic anomaly, a, equivalent to (g,- 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, w similar to ip, and of the anomalous precession frequency corrected for beam dynamics effects, wa. From the ratio wa/w similar to ip, together with precisely determined external parameters, we determine a, = 116 592 057(25) x 10-11 (0.21 ppm). Combining this result with our previous result from the 2018 data, we obtain a,(FNAL) = 116592055(24) x 10-11 (0.20 ppm). The new experimental world average is a,(exp) = 116 592 059(22) x 10-11 (0.19 ppm), which represents a factor of 2 improvement in precision.