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

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

### Standard

In: Physical review a, Vol. 103, No. 4, 042208, 07.04.2021.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

### Author

Muon g-2. / Magnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab. In: Physical review a. 2021 ; Vol. 103, No. 4.

### Bibtex

@article{21d5194e99f04cfc8dc0e1f5de6dbe3b,
title = "Magnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab",
abstract = " 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. ",
keywords = "hep-ex, nucl-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 A. Conway 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 Fienberg, {A. T.} and A. Fioretti and D. Flay and E. Valetov",
year = "2021",
month = apr,
day = "7",
doi = "10.1103/PhysRevA.103.042208",
language = "English",
volume = "103",
journal = "Physical review a",
issn = "1050-2947",
publisher = "American Physical Society",
number = "4",

}

### RIS

TY - JOUR

T1 - Magnetic Field Measurement and Analysis for the Muon g-2 Experiment 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 - Conway, A.

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 - Fienberg, A. T.

AU - Fioretti, A.

AU - Flay, D.

AU - Valetov, E.

PY - 2021/4/7

Y1 - 2021/4/7

N2 - 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.

AB - 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.

KW - hep-ex

KW - nucl-ex

U2 - 10.1103/PhysRevA.103.042208

DO - 10.1103/PhysRevA.103.042208

M3 - Journal article

VL - 103

JO - Physical review a

JF - Physical review a

SN - 1050-2947

IS - 4

M1 - 042208

ER -