Albahri, T;
Anastasi, A;
Badgley, K;
Baeßler, S;
Bailey, I;
Baranov, VA;
Barlas-Yucel, E;
... et alia, .; + view all
(2021)
Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab.
Physical Review Accelerators and Beams
, 24
(4)
, Article 044002. 10.1103/PhysRevAccelBeams.24.044002.
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Abstract
This paper presents the beam dynamics systematic corrections and their uncertainties for the Run-1 dataset of the Fermilab Muon g-2 Experiment. Two corrections to the measured muon precession frequency ωam are associated with well-known effects owing to the use of electrostatic quadrupole (ESQ) vertical focusing in the storage ring. An average vertically oriented motional magnetic field is felt by relativistic muons passing transversely through the radial electric field components created by the ESQ system. The correction depends on the stored momentum distribution and the tunes of the ring, which has relatively weak vertical focusing. Vertical betatron motions imply that the muons do not orbit the ring in a plane exactly orthogonal to the vertical magnetic field direction. A correction is necessary to account for an average pitch angle associated with their trajectories. A third small correction is necessary, because muons that escape the ring during the storage time are slightly biased in initial spin phase compared to the parent distribution. Finally, because two high-voltage resistors in the ESQ network had longer than designed RC time constants, the vertical and horizontal centroids and envelopes of the stored muon beam drifted slightly, but coherently, during each storage ring fill. This led to the discovery of an important phase-acceptance relationship that requires a correction. The sum of the corrections to ω_{a}^{m} is 0.50±0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of ω_{a}^{m}.
| Type: | Article |
|---|---|
| Title: | Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevAccelBeams.24.044002 |
| Publisher version: | https://doi.org/10.1103/PhysRevAccelBeams.24.04400... |
| Language: | English |
| Additional information: | © 2021 American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/). |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10127739 |
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