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

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Albahri, T, Anastasi, A, Badgley, K, Baeßler, S, Bailey, I, Baranov, VA, Barlas-Yucel, E, Barrett, T, Bedeschi, F, Berz, M et al (show 163 more authors) , Bhattacharya, M, Binney, HP, Bloom, P, Bono, J, Bottalico, E ORCID: 0000-0003-2238-8803, Bowcock, T ORCID: 0000-0002-3505-6915, Cantatore, G, Carey, RM, Casey, BCK, Cauz, D, Chakraborty, R, Chang, SP, Chapelain, A, Charity, S ORCID: 0000-0003-0322-933X, Chislett, R, Choi, J, Chu, Z, Chupp, TE, Conway, A, Corrodi, S, Cotrozzi, L ORCID: 0000-0002-0375-0611, Crnkovic, JD, Dabagov, S, Debevec, PT, Falco, S Di, Meo, P Di, Sciascio, G Di, Stefano, R Di, Driutti, A, Duginov, VN, Eads, M, Esquivel, J, Farooq, M, Fatemi, R, Ferrari, C, Fertl, M, Fienberg, AT, Fioretti, A, Flay, D, Froemming, NS, Gabbanini, C, Galati, MD, Ganguly, S, Garcia, A, George, J, Gibbons, LK, Gioiosa, A, Giovanetti, KL, Girotti, P, Gohn, W, Gorringe, T, Grange, J, Grant, S, Gray, F, Haciomeroglu, S, Halewood-Leagas, T, Hampai, D, Han, F, Hempstead, J, Herrod, AT, Hertzog, DW, Hesketh, G, Hibbert, A, Hodge, Z, Holzbauer, JL, Hong, KW, Hong, R, Iacovacci, M, Incagli, M, Kammel, P, Kargiantoulakis, M, Karuza, M, Kaspar, J, Kawall, D, Kelton, L, Keshavarzi, A, Kessler, D, Khaw, KS, Khechadoorian, Z, Khomutov, NV, Kiburg, B, Kiburg, M, Kim, O, Kim, YI, King, B, Kinnaird, N, Kraegeloh, E, Kuchinskiy, NA, Labe, KR, LaBounty, J, Lancaster, M, Lee, MJ, Lee, S, Li, B, Li, D, Li, L, Logashenko, I, Campos, A Lorente, Lucà, A, Lukicov, G, Lusiani, A, Lyon, AL, MacCoy, B, Madrak, R, Makino, K, Marignetti, F, Mastroianni, S, Miller, JP, Miozzi, S, Morse, WM, Mott, J, Nath, A, Nguyen, H, Osofsky, R, Park, S, Pauletta, G, Piacentino, GM, Pilato, RN ORCID: 0000-0002-4325-7530, Pitts, KT, Plaster, B, Počanić, D, Pohlman, N, Polly, CC, Price, J ORCID: 0000-0002-1435-5449, Quinn, B, Raha, N, Ramachandran, S, Ramberg, E, Ritchie, JL, Roberts, BL, Rubin, DL, Santi, L, Schlesier, C, Schreckenberger, A, Semertzidis, YK, Shemyakin, D, Smith, MW, Sorbara, M, Stöckinger, D, Stapleton, J, Stoughton, C, Stratakis, D, Stuttard, T, Swanson, HE, Sweetmore, G, Sweigart, DA, Syphers, MJ, Tarazona, DA, Teubner, T ORCID: 0000-0002-0680-0776, Tewsley-Booth, AE, Thomson, K, Tishchenko, V, Tran, NH, Turner, W, Valetov, E, Vasilkova, D ORCID: 0000-0001-8704-3254, Venanzoni, G ORCID: 0000-0002-3525-476X, Walton, T, Weisskopf, A, Welty-Rieger, L, Winter, P, Wolski, A ORCID: 0000-0002-5057-5588 and Wu, W (2021) Magnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab Phys. Rev. A, 103 (4). 042208-042208. ISSN 2469-9926, 2469-9934

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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.

Item Type:	Article
Additional Information:	Added one citation and corrected missing normalization in Eqs (35) and (36)
Uncontrolled Keywords:	hep-ex, hep-ex, nucl-ex
Divisions:	Faculty of Science & Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	13 Apr 2021 07:21
Last Modified:	22 Apr 2026 10:38
DOI:	10.1103/PhysRevA.103.042208
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3119138
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