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Magnetic-Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab

Abstract

The Fermi National Accelerator Laboratory (FNAL) Muon g − 2 Experiment has measured the anomalous precession frequency a_μ ≡ (g_μ − 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 systems and calibrated in terms of the equivalent proton spin precession frequency in a spherical water sample at 34.7 °C. The measured field is weighted by the muon distribution resulting in ω_p', the denominator in the ratio ω_a /ω_p' that together with known fundamental constants yields a_μ. The reported uncertainty on ω_p' for the Run-1 data set is 114 ppb consisting of uncertainy contributions from frequency extraction, calibration, mapping, tracking, and averaging of 56 ppb, and contributions from fast transient fields of 99 ppb.

Muon g-2 Collaboration, Physical Review A, 103 (2021) 042208. DOI: 10.1103/PhysRevA.103.042208

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