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 ωam is 0.50±0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of ωam.
| Original language | English |
|---|---|
| Article number | 044002 |
| Journal | Physical Review Accelerators and Beams |
| Volume | 24 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2021 |
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(Muon g-2 Collaboration) (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. https://doi.org/10.1103/PhysRevAccelBeams.24.044002
(Muon g-2 Collaboration). / Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab. In: Physical Review Accelerators and Beams. 2021 ; Vol. 24, No. 4.
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title = "Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab",
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 ωam is 0.50±0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of ωam.",
author = "{(Muon g-2 Collaboration)} and T. Albahri and A. Anastasi and K. Badgley and S. Bae{\ss}ler and I. Bailey and Baranov, {V. A.} and E. Barlas-Yucel and T. Barrett and F. Bedeschi and M. Berz and M. Bhattacharya and Binney, {H. P.} and P. Bloom and J. Bono and E. Bottalico and T. Bowco*ck and G. Cantatore and Carey, {R. M.} and Casey, {B. C.K.} and D. Cauz and R. Chakraborty and Chang, {S. P.} and A. Chapelain and S. Charity and R. Chislett and J. Choi and Z. Chu and Chupp, {T. E.} and S. Corrodi and L. Cotrozzi and Crnkovic, {J. D.} and S. Dabagov and Debevec, {P. T.} and {Di Falco}, S. and {Di Meo}, P. and {Di Sciascio}, G. and {Di Stefano}, R. and A. Driutti and Duginov, {V. N.} and M. Eads and J. Esquivel and M. Farooq and R. Fatemi and C. Ferrari and M. Fertl and A. Fiedler and Fienberg, {A. T.} and A. Fioretti and D. Flay and Semertzidis, {Y. K.}",
note = "Publisher Copyright: {\textcopyright} 2021 authors.",
year = "2021",
month = apr,
doi = "10.1103/PhysRevAccelBeams.24.044002",
language = "English",
volume = "24",
journal = "Physical Review Accelerators and Beams",
issn = "2469-9888",
number = "4",
}
(Muon g-2 Collaboration) 2021, 'Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab', Physical Review Accelerators and Beams, vol. 24, no. 4, 044002. https://doi.org/10.1103/PhysRevAccelBeams.24.044002
Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab. / (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
TY - JOUR
T1 - Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab
AU - (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 - Bowco*ck, 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 - Semertzidis, Y. K.
N1 - Publisher Copyright:© 2021 authors.
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
SN - 2469-9888
VL - 24
JO - Physical Review Accelerators and Beams
JF - Physical Review Accelerators and Beams
IS - 4
M1 - 044002
ER -
(Muon g-2 Collaboration). Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab. Physical Review Accelerators and Beams. 2021 Apr;24(4):044002. doi: 10.1103/PhysRevAccelBeams.24.044002
