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We present the first results of the Fermilab Muon g-2 Experiment for the positive muon magnetic anomaly $a_\mu \equiv (g_\mu-2)/2$.
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D. Giusti and S. Simula, Lepton anomalous magnetic moments in Lattice QCD+QED, PoS LATTICE2019
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P. A. M. Dirac, The Quantum theory of electron. Part II, Proc. Roy. Soc. Lond. A118
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D. E. Nagel, R. S. Julian, and J. R. Zacharias, The Hyperfine Structure of Atomic Hydrogen and Deuterium, Phys. Rev. 72
1947
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J. E. Nafe, E. B. Nelson, and I. I. Rabi, The Hyperfine Structure of Atomic Hydrogen and Deuterium, Phys. Rev. 71
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J. S. Schwinger, On Quantum electrodynamics and the magnetic moment of the electron, Phys. Rev. 73
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P. Kusch and H. M. Foley, The Magnetic Moment of the Electron, Phys. Rev. 74
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R. L. Garwin, L. M. Lederman, and M. Weinrich, Observations of the Failure of Conservation of Parity and Charge Conjugation in Meson Decays: The Magnetic Moment of the Free Muon, Phys. Rev. 105
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J. M. Cassels, T. W. O’Keeffe, M. Rigby, A. M. Wetherell, and J. R. Wormald, Experiments with a polarized muon beam, Proceedings of the Physical Society. Section A 70
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R. L. Garwin, D. P. Hutchinson, S. Penman, and G. Shapiro, Accurate Determination of the μ + \mu^{+} Magnetic Moment, Phys. Rev. 118
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G. Danby et al. , Observation of High-Energy Neutrino Reactions and the Existence of Two Kinds of Neutrinos, Phys. Rev. Lett. 9
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G. Charpak, F. J. M. Farley, and R. L. Garwin, A New Measurement of the Anomalous Magnetic Moment of the Muon, Phys. Lett. 1
1962
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D. W. Allan, Statistics of Atomic Frequency Standards, Proceedings of the IEEE 54
1966
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J. Bailey et al. , Precision measurement of the anomalous magnetic moment of the muon, Phys. Lett. B28
1968
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R. Jackiw and S. Weinberg, Weak interaction corrections to the muon magnetic moment and to muonic atom energy levels, Phys. Rev. D5
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I. Bars and M. Yoshimura, Muon magnetic moment in a finite theory of weak and electromagnetic interaction, Phys. Rev. D6
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K. Fujikawa, B. W. Lee, and A. I. Sanda, Generalized Renormalizable Gauge Formulation of Spontaneously Broken Gauge Theories, Phys. Rev. D6
1972
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F. J. M. Farley, Pitch correction in g − 2 g-2 experiments, Phys. Lett. 42B
1972
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W. D. Phillips, W. E. Cooke, and D. Kleppner, Magnetic moment of the proton in H 2 O in bohr magnetons, Metrologia 13
1977
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J. Bailey et al. (CERN-Mainz-Daresbury), Final Report on the CERN Muon Storage Ring Including the Anomalous Magnetic Moment and the Electric Dipole Moment of the Muon, and a Direct Test of Relativistic Time Dilation, Nucl. Phys. B150
1979
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We use the shielded proton-to-electron magnetic moment ratio Phillips et al. 1977 and the electron g g -factor Hanneke et al. 2011 measurement. The CODATA-2018 result is used for the muon-to-electron mass ratio Tiesinga et al. , which is determined from bound-state QED theory and measurements described in Liu et al. 1999 . The QED factor μ e ( H ) / μ e \mu_{e}(H)/\mu_{e} is computed by theory with negligible uncertainty Tiesinga et al.
1999
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1999
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G. T. Danby et al. , The Brookhaven muon storage ring magnet, Nucl. Instrum. Meth. A457
2001
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2015
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F. Jegerlehner, The Anomalous Magnetic Moment of the Muon , Vol. 274 (Springer, Cham, 2017)
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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
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The value is based on evaluating hadronic vacuum polarization contributions via e + e − → hadrons e^{+}e^{-}\rightarrow\text{hadrons} data. Lattice QCD calculations of the hadronic vacuum polarization show promising improvements Aoyama et al. 2020 ; Chakraborty et al. 2018 ; Borsanyi et al. 2018 ; Blum et al. 2018 ; Giusti et al. 2019 ; Shintani and Kuramashi 2019 ; Davies et al. 2020 ; Gérardin et al. 2019 ; Aubin et al. 2020 ; Giusti and Simula 2019 ; Borsanyi et al. 2020 ; Lehner and Meyer 2020 . The lattice world average determined in Ref. Aoyama et al. 2020 is consistent with the data-driven result used for the number in the main text, but has a higher central value and larger uncertainty. Further scrutiny and improvements of lattice results are expected
2019
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T. Aoyama, T. Kinoshita, and M. Nio, Theory of the Anomalous Magnetic Moment of the Electron, Atoms 7
2019
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M. Farooq, T. Chupp, J. Grange, A. Tewsley-Booth, D. Flay, D. Kawall, N. Sachdeva, and P. Winter, Absolute Magnetometry with He3, Phys. Rev. Lett. 124
2020
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R. Hong et al. , Systematic and statistical uncertainties of the hilbert-transform based high-precision FID frequency extraction method, J. Magn. Reson XYZ
2021
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