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• 2104.03240v1

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## Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

### Standard

In: Physical Review Accelerators and Beams, Vol. 24, No. 4, 044002, 27.04.2021.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

### Author

Muon g-2. / 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.

### Bibtex

@article{797a6ec442ac4205baf9e0bd1e3e2f77,
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 data set of the Fermilab Muon g-2 Experiment. Two corrections to the measured muon precession frequency $\omega_a^m$ 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 $\omega_a^m$ is 0.50 $\pm$ 0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of $\omega_a^m$. ",
keywords = "physics.acc-ph, hep-ex",
author = "{Muon g-2} 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. Bowcock 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 Falco, {S. Di} and Meo, {P. Di} and Sciascio, {G. Di} and Stefano, {R. Di} 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 M. Korostelev and E. Valetov",
year = "2021",
month = apr,
day = "27",
doi = "10.1103/PhysRevAccelBeams.24.044002",
language = "English",
volume = "24",
journal = "Physical Review Accelerators and Beams",
issn = "2469-9888",
publisher = "American Physical Society",
number = "4",

}

### RIS

TY - JOUR

T1 - Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab

AU - Muon g-2

AU - Albahri, T.

AU - Anastasi, A.

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 - Falco, S. Di

AU - Meo, P. Di

AU - Sciascio, G. Di

AU - Stefano, R. Di

AU - Driutti, A.

AU - Duginov, V. N.

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 - Korostelev, M.

AU - Valetov, E.

PY - 2021/4/27

Y1 - 2021/4/27

N2 - This paper presents the beam dynamics systematic corrections and their uncertainties for the Run-1 data set of the Fermilab Muon g-2 Experiment. Two corrections to the measured muon precession frequency $\omega_a^m$ 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 $\omega_a^m$ is 0.50 $\pm$ 0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of $\omega_a^m$.

AB - This paper presents the beam dynamics systematic corrections and their uncertainties for the Run-1 data set of the Fermilab Muon g-2 Experiment. Two corrections to the measured muon precession frequency $\omega_a^m$ 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 $\omega_a^m$ is 0.50 $\pm$ 0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of $\omega_a^m$.

KW - physics.acc-ph

KW - hep-ex

U2 - 10.1103/PhysRevAccelBeams.24.044002

DO - 10.1103/PhysRevAccelBeams.24.044002

M3 - Journal article

VL - 24

JO - Physical Review Accelerators and Beams

JF - Physical Review Accelerators and Beams

SN - 2469-9888

IS - 4

M1 - 044002

ER -