- Editors' Suggestion
- Open Access
Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
Phys. Rev. Lett. 131, 161802 – Published 17 October, 2023
DOI: https://doi.org/10.1103/PhysRevLett.131.161802
Abstract
We present a new measurement of the positive muon magnetic anomaly, , from the Fermilab Muon Experiment using data collected in 2019 and 2020. We have analyzed more than 4 times the number of positrons from muon decay than in our previous result from 2018 data. The systematic error is reduced by more than a factor of 2 due to better running conditions, a more stable beam, and improved knowledge of the magnetic field weighted by the muon distribution, , and of the anomalous precession frequency corrected for beam dynamics effects, . From the ratio , together with precisely determined external parameters, we determine (0.21 ppm). Combining this result with our previous result from the 2018 data, we obtain (0.20 ppm). The new experimental world average is (0.19 ppm), which represents a factor of 2 improvement in precision.
Physics Subject Headings (PhySH)
See Also
Detailed report on the measurement of the positive muon anomalous magnetic moment to 0.20 ppm
Article Text
References (47)
- B. Abi et al. (Muon Collaboration), Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm, Phys. Rev. Lett. 126, 141801 (2021).
- T. Albahri et al. (Muon Collaboration), Measurement of the anomalous precession frequency of the muon in the Fermilab Muon Experiment, Phys. Rev. D 103, 072002 (2021).
- T. Albahri et al. (Muon Collaboration), Magnetic-field measurement and analysis for the Muon Experiment at Fermilab, Phys. Rev. A 103, 042208 (2021).
- T. Albahri et al. (Muon Collaboration), Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab, Phys. Rev. Accel. Beams 24, 044002 (2021).
- J. Grange et al. (Muon Collaboration), Muon Technical Design Report, arXiv:1501.06858 .
- D. Stratakis, B. Drendel, J. P. Morgan, M. J. Syphers, and N. S. Froemming, Commissioning and first results of the Fermilab Muon Campus, Phys. Rev. Accel. Beams 22, 011001 (2019).
- G. T. Danby et al., The Brookhaven muon storage ring magnet, Nucl. Instrum. Methods Phys. Res., Sect. A 457, 151 (2001).
- G. W. Bennett et al. (Muon Collaboration), Final report of the muon E821 anomalous magnetic moment measurement at BNL, Phys. Rev. D 73, 072003 (2006).
- A. P. Schreckenberger et al., The fast non-ferric kicker system for the Muon Experiment at Fermilab, Nucl. Instrum. Methods Phys. Res., Sect. A 1011, 165597 (2021).
- Y. K. Semertzidis et al., The Brookhaven muon () storage ring high voltage quadrupoles, Nucl. Instrum. Methods Phys. Res., Sect. A 503, 458 (2003).
- K. S. Khaw et al., Performance of the Muon calorimeter and readout systems measured with test beam data, Nucl. Instrum. Methods Phys. Res., Sect. A 945, 162558 (2019).
- S. Corrodi, P. D. Lurgio, D. Flay, J. Grange, R. Hong, D. Kawall, M. Oberling, S. Ramachandran, and P. Winter, Design and performance of an in-vacuum, magnetic field mapping system for the Muon Experiment, J. Instrum. 15, P11008 (2020).
- D. Flay et al., High-accuracy absolute magnetometry with application to the Fermilab Muon Experiment, J. Instrum. 16, P12041 (2021).
- B. T. King et al., The straw tracking detector for the Fermilab Muon Experiment, J. Instrum. 17, P02035 (2022).
We use the shielded proton-to-electron magnetic moment ratio [16] and the electron -factor [17, 18] measurement. The CODATA-2018 result is used for the muon-to-electron mass ratio [19], which is determined from bound-state QED theory and measurements described in Ref. [20]. The QED factor is computed by theory with negligible uncertainty [19].
- W. D. Phillips, W. E. Cooke, and D. Kleppner, Magnetic moment of the proton in in Bohr magnetons, Metrologia 13, 179 (1977).
- X. Fan, T. G. Myers, B. A. D. Sukra, and G. Gabrielse, Measurement of the Electron Magnetic Moment, Phys. Rev. Lett. 130, 071801 (2023).
- R. L. Workman et al. (Particle Data Group), Review of particle physics, Prog. Theor. Exp. Phys. 2022, 083C01 (2022), and 2023 update.
- E. Tiesinga, P. J. Mohr, D. B. Newell, and B. N. Taylor, The 2018 CODATA recommended values of the fundamental physical constants (Web Version 8.1), http://physics.nist.gov/constants (2018).
- W. Liu et al., High Precision Measurements of the Ground State Hyperfine Structure Interval of Muonium and of the Muon Magnetic Moment, Phys. Rev. Lett. 82, 711 (1999).
- G. W. Bennett et al. (Muon Collaboration), Statistical equations and methods applied to the precision Muon Experiment at BNL, Nucl. Instrum. Methods Phys. Res., Sect. A 579, 1096 (2007).
- R. Hong et al., Systematic and statistical uncertainties of the Hilbert-transform based high-precision FID frequency extraction method, J. Magn. Reson. 329, 107020 (2021).
We have updated the Run-1 measurement with three corrections. The E-field correction was inadvertently calculated using the blinded clock frequency. We have updated this to use the unblinded clock frequency. This changes the Run-1 result by . The phase acceptance correction for Run-1b was inadvertently swapped with the for Run-1c. We have applied these correctly now. This changes the Run-1 result by . A correction was applied to the temperature dependence of the magnetic susceptibility of a spherical water probe. The applied correction did not include an additional term that accounts for the temperature dependence of the density of water. We have now included this term. This changes the Run-1 result by . These corrections are all positive and sum to a correction to the Run-1 result.
- T. Aoyama et al., The anomalous magnetic moment of the muon in the Standard Model, Phys. Rep. 887, 1 (2020).
- T. Aoyama, M. Hayakawa, T. Kinoshita, and M. Nio, Complete Tenth-Order QED Contribution to the Muon , Phys. Rev. Lett. 109, 111808 (2012).
- T. Aoyama, T. Kinoshita, and M. Nio, Theory of the anomalous magnetic moment of the electron, Atoms 7, 28 (2019).
- A. Czarnecki, W. J. Marciano, and A. Vainshtein, Refinements in electroweak contributions to the muon anomalous magnetic moment, Phys. Rev. D 67, 073006 (2003); 73, 119901(E) (2006).
- C. Gnendiger, D. Stöckinger, and H. Stöckinger-Kim, The electroweak contributions to after the Higgs boson mass measurement, Phys. Rev. D 88, 053005 (2013).
- M. Davier, A. Hoecker, B. Malaescu, and Z. Zhang, Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon and using newest hadronic cross-section data, Eur. Phys. J. C 77, 827 (2017).
- A. Keshavarzi, D. Nomura, and T. Teubner, Muon and : A new data-based analysis, Phys. Rev. D 97, 114025 (2018).
- G. Colangelo, M. Hoferichter, and P. Stoffer, Two-pion contribution to hadronic vacuum polarization, J. High Energy Phys. 02 (2019) 006.
- M. Hoferichter, B.-L. Hoid, and B. Kubis, Three-pion contribution to hadronic vacuum polarization, J. High Energy Phys. 08 (2019) 137.
- M. Davier, A. Hoecker, B. Malaescu, and Z. Zhang, A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to , Eur. Phys. J. C 80, 241 (2020); 80, 410(E) (2020).
- A. Keshavarzi, D. Nomura, and T. Teubner, The of charged leptons, and the hyperfine splitting of muonium, Phys. Rev. D 101, 014029 (2020).
- A. Kurz, T. Liu, P. Marquard, and M. Steinhauser, Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order, Phys. Lett. B 734, 144 (2014).
- K. Melnikov and A. Vainshtein, Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited, Phys. Rev. D 70, 113006 (2004).
- P. Masjuan and P. Sánchez-Puertas, Pseudoscalar-pole contribution to the : A rational approach, Phys. Rev. D 95, 054026 (2017).
- G. Colangelo, M. Hoferichter, M. Procura, and P. Stoffer, Dispersion relation for hadronic light-by-light scattering: Two-pion contributions, J. High Energy Phys. 04 (2017) 161.
- M. Hoferichter, B.-L. Hoid, B. Kubis, S. Leupold, and S. P. Schneider, Dispersion relation for hadronic light-by-light scattering: Pion pole, J. High Energy Phys. 10 (2018) 141.
- A. Gérardin, H. B. Meyer, and A. Nyffeler, Lattice calculation of the pion transition form factor with Wilson quarks, Phys. Rev. D 100, 034520 (2019).
- J. Bijnens, N. Hermansson-Truedsson, and A. Rodríguez-Sánchez, Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment, Phys. Lett. B 798, 134994 (2019).
- G. Colangelo, F. Hagelstein, M. Hoferichter, L. Laub, and P. Stoffer, Longitudinal short-distance constraints for the hadronic light-by-light contribution to with large- Regge models, J. High Energy Phys. 03 (2020) 101.
- T. Blum, N. Christ, M. Hayakawa, T. Izubuchi, L. Jin, C. Jung, and C. Lehner, Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD, Phys. Rev. Lett. 124, 132002 (2020).
- G. Colangelo, M. Hoferichter, A. Nyffeler, M. Passera, and P. Stoffer, Remarks on higher-order hadronic corrections to the muon , Phys. Lett. B 735, 90 (2014).
- Sz. Borsanyi et al., Leading hadronic contribution to the muon magnetic moment from lattice QCD, Nature (London) 593, 51 (2021).
- F. V. Ignatov et al. (CMD-3 Collaboration), Measurement of the cross section from threshold to 1.2 GeV with the CMD-3 detector, arXiv:2302.08834.
- G. Colangelo et al., Prospects for precise predictions of in the Standard Model, arXiv:2203.15810.