Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 experiment

Understand

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 experiment's 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.