Research output: Contribution to journal › Article › peer-review
Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab. / The Muon g-2 Collaboration.
In: Physical Review Accelerators and Beams, Vol. 24, No. 4, 044002, 04.2021.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab
AU - The Muon g-2 Collaboration
AU - Albahri, T.
AU - Anastasi, A.
AU - Badgley, K.
AU - Baeßler, S.
AU - Bailey, I.
AU - Baranov, V. A.
AU - Barlas-Yucel, E.
AU - Barrett, T.
AU - Bedeschi, F.
AU - Berz, M.
AU - Bhattacharya, M.
AU - Binney, H. P.
AU - Bloom, P.
AU - Bono, J.
AU - Bottalico, E.
AU - Bowcock, T.
AU - Cantatore, G.
AU - Carey, R. M.
AU - Casey, B. C.K.
AU - Cauz, D.
AU - Chakraborty, R.
AU - Chang, S. P.
AU - Chapelain, A.
AU - Charity, S.
AU - Chislett, R.
AU - Choi, J.
AU - Chu, Z.
AU - Chupp, T. E.
AU - Corrodi, S.
AU - Cotrozzi, L.
AU - Crnkovic, J. D.
AU - Dabagov, S.
AU - Debevec, P. T.
AU - Di Falco, S.
AU - Di Meo, P.
AU - Di Sciascio, G.
AU - Di Stefano, R.
AU - Driutti, A.
AU - Duginov, V. N.
AU - Eads, M.
AU - Esquivel, J.
AU - Farooq, M.
AU - Fatemi, R.
AU - Ferrari, C.
AU - Fertl, M.
AU - Fiedler, A.
AU - Fienberg, A. T.
AU - Fioretti, A.
AU - Flay, D.
AU - Logashenko, I.
N1 - Funding Information: We thank the Fermilab management and staff for their strong support of this experiment, as well as the tremendous support from our university and national laboratory engineers, technicians, and workshops. The Muon Experiment was performed at the Fermi National Accelerator Laboratory, a U.S. Department of Energy, Office of Science, HEP User Facility. Fermilab is managed by Fermi Research Alliance, LLC (FRA), acting under Contract No. DE-AC02-07CH11359. Additional support for the experiment was provided by the Department of Energy offices of High Energy Physics and Nuclear Physics (USA), the National Science Foundation (USA), the Istituto Nazionale di Fisica Nucleare (Italy), the Science and Technology Facilities Council (UK), the Royal Society (UK), the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreements No. 690835 and No. 734303, the National Natural Science Foundation of China (Grants No. 11975153 and No. 12075151), MSIP, NRF, and IBS-R017-D1 (Republic of Korea), and the German Research Foundation (DFG) through the Cluster of Excellence (EXC 2118/1, Project ID No. 39083149). Publisher Copyright: © 2021 authors. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/4
Y1 - 2021/4
N2 - 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 ωam is 0.50±0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of ωam.
AB - 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 ωam is 0.50±0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of ωam.
UR - http://www.scopus.com/inward/record.url?scp=85105114503&partnerID=8YFLogxK
U2 - 10.1103/PhysRevAccelBeams.24.044002
DO - 10.1103/PhysRevAccelBeams.24.044002
M3 - Article
AN - SCOPUS:85105114503
VL - 24
JO - Physical Review Accelerators and Beams
JF - Physical Review Accelerators and Beams
SN - 2469-9888
IS - 4
M1 - 044002
ER -
ID: 28504956