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Measurement of the Anomalous Precession Frequency of the Muon in the Fermilab Muon g-2 Experiment

Abstract

The Muon g − 2 Experiment at Fermi National Accelerator Laboratory (FNAL) has measured the muon anomalous precession frequency ω_a^m 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 experiment’s muon storage ring, the precession frequency measurement determines a muon magnetic anomaly of a_μ(FNAL) = 116 592 040(54) × 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 11 separate determinations of ω_a^m, and the systematic uncertainties on the result.

Muon g-2 Collaboration, Physical Review D, 103 (2021) 072002. DOI: 10.1103/PhysRevD.103.072002

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