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تسجيل مستخدم جديدMagnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab
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T. Albahri
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The Fermi National Accelerator Laboratory has measured the anomalous precession frequency $a^{}_mu = (g^{}_mu-2)/2$ of the muon to a combined precision of 0.46 parts per million with data collected during its first physics run in 2018. This paper documents the measurement of the magnetic field in the muon storage ring. The magnetic field is monitored by nuclear magnetic resonance systems and calibrated in terms of the equivalent proton spin precession frequency in a spherical water sample at 34.7$^circ$C. The measured field is weighted by the muon distribution resulting in $tilde{omega}^{}_p$, the denominator in the ratio $omega^{}_a$/$tilde{omega}^{}_p$ that together with known fundamental constants yields $a^{}_mu$. The reported uncertainty on $tilde{omega}^{}_p$ for the Run-1 data set is 114 ppb consisting of uncertainty contributions from frequency extraction, calibration, mapping, tracking, and averaging of 56 ppb, and contributions from fast transient fields of 99 ppb.
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The Muon g-2 Experiment at Fermi National Accelerator Laboratory (FNAL) has measured the muon anomalous precession frequency $omega_a$ to an uncertainty of 434 parts per billion (ppb), statistical, and 56 ppb, systematic, with data collected in four
storage ring configurations during its first physics run in 2018. When combined with a precision measurement of the magnetic field of the experiments muon storage ring, the precession frequency measurement determines a muon magnetic anomaly of $a_{mu}({rm FNAL}) = 116,592,040(54) times 10^{-11}$ (0.46 ppm). This article describes the multiple techniques employed in the reconstruction, analysis and fitting of the data to measure the precession frequency. It also presents the averaging of the results from the eleven separate determinations of omega_a, and the systematic uncertainties on the result.
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