Home > Research > Publications & Outputs > Magnetic Field Measurement and Analysis for the...

Electronic data

  • 2104.03201v1

    Accepted author manuscript, 10.7 MB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License


Text available via DOI:


View graph of relations

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

Research output: Contribution to journalJournal articlepeer-review

  • Muon g-2
Article number042208
<mark>Journal publication date</mark>7/04/2021
<mark>Journal</mark>Physical review a
Issue number4
Number of pages35
Publication StatusPublished
<mark>Original language</mark>English


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.