Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

The anomalous magnetic moment of the muon and related topics

Il momenta magnetico anomalo del muone e argomenti attinenti

  • 71 Accesses

Abstract

The anomalous magnetic moment of the muon has been measured in three CERN experiments with increasing precisions, from 1959 to 1977. In this article the theoretical and experimental results are reviewed. A brief presentation of a new experiment in preparation at the Brookhaven National Laboratory (U.S.) is given. A review of high precision tests of Quantum Electrodynamics is briefly presented.

Riassunto

Il momento magnetico anomalo del muone e stato misurato con crescente precisione ai CERN dal 1959 al 1977. In questo articolo si riassumono le previsioni teoriche e i risultati sperimentali. Un nuovo esperimento è in preparazione negli Stati Uniti nel Laboratorio Nazionale di Brookhaven (Long Island). Si esaminano alcuni espenmenti di grande precisione che verificano la teoria dell’elettrodinamica quantistica.

This is a preview of subscription content, log in to check access.

References

  1. [1]

    R. Van Dyck Jr.,Anomalous magnetic moment of single electrons and positrons; experiment. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 322–387.

  2. [2]

    T. Kinoshita,Theory of the anomalous magnetic moment of the electron-numerical approach. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 218–321.

  3. [3]

    M. E. Cage -R. F. Dziuba -R. E. Elmquist -B. F. Field -G. R. Jones Jr. -P. T. Olsen -W. D. Phillips -J. Q. Shield -R. L, Steiner -B. N. Taylor -E. R. Williams,NBS Determination of the Fine Structure Constant, and of the Quantized Hall Resistance and Josephson Frequenry-to-Voltage Quotient in SI Units. IEEE Transactions on Instrument and Measurement, vol. 34, n. 2, 1989, 284–289.

  4. [4]

    T. Kinoshita -G.P. Le Page,Quantum electrodynamics, for nonrelativistic systems and high precision determination of a. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 81–91.

  5. [5]

    F. J. M. Farley -E. Picasso,The muon (g - 2) experiments. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 479–559.

  6. [6]

    T. Kinoshita -W. J. Marciano,Theory of the muon anomalous magnetic moment. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 419–478.

  7. [7]

    J. Bailey -K. Borer -F. Combley -H. Drumm -C. Eck -F. J. M. Farley -J. H. Field -W. Flegel -P. M. Hattersley -F. Krienen -F. Lange -G. Lebée -E. Mc Millan -G. Petrucci -E. Picasso -O. Rúnolfsson -W. von Rüden -R. W. Williams -S. Wojcicki,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, 1–75.

  8. [8]

    J. Calmet -S. Narrison -M. Perrotet -E. de Rafael,The anomalous magnetic moment of the muon: a review of the theoretical contributions. Rev. Mod. Phys., 49, 1977, 21–29.

  9. [9]

    W. A. Bardeen -R. Gastmans -B. Lautrup,Static quantities in Weinbergs model of weak and electromagnetic interactions. Nucl. Phys., B46, 1972, 319–331.

  10. [10]

    R. Jackiw -S. Weinberg,Weak-interaction corrections to the muon magnetic moment and to muonic-atom energy levels. Phys. Rev., D5, 1972, 2396–2398.

  11. [11]

    I. Bars -M. Yoshimura,Muon magnetic moment in a finit theory of weak and electromagnetic interactions. Phys. Rev., D6, 1972, 374–376.

  12. [12]

    T. V. Kukhto -E. A. Kuraev -A. Schiller -Z. K. Silagadze,The dominant two-loop electroweak contributions to the anomalous magnetic moment of the muon. Nucl. Phys., B371, 1992, 567–596.

  13. [13]

    S. Peris - M. Perroitet - E. de Rafael, Two-Loop Electroweak Corrections to the Muon (g - 2): a New Class of Hadronic Contributions. CERN-TH/95-141, 1995, 1-11.

  14. [14]

    Design Report - BNL AGS E82L A Sew Precision Measurement of the Muon (g - 2) Value at the Level of 0.35 ppm. 1995, 1-466.

  15. [15]

    V. Bargmann -L. Michel -V. L. Telegdi,Precession of the polarization of particle moving in a homogeneous electromagnetic field. Phys. Rev. Lett., 2, 1959, 435–437.

  16. [16]

    J. D. Jackson,Classic Electrodynamics. J. Wiley & Sons, New York 1975, 556–561.

  17. [17]

    F. J. M. Farley, (g - 2) Experiments on the electron, muon and related topics. In: Lectures in Physics, vol. 2 (Gordon and Breach), Cargés 1968, 55.

  18. [18]

    J. Bailey -E. Picasso,The anomalous magnetic moment of the muon and related topics. Nucl. Phys., 12, 1970, 43–75.

  19. [19]

    G. Charpak -F. J. M. Farley -R. L. Garwin -T. Muller -J. C. Sens -A. Zichichi,The anomalous magnetic moment of the muon. Il Nuovo Cimento, vol. 37, 1965, 1241–1363.

  20. [20]

    J. Bailey -W. Bartl -G. von Bochmann -R. G. A. Brown -F. J. M. Farley -M. Giesch -H. Jostlein -S. van der Meer -E. Picasso -R. W. Williams,Precise measurement of the anomalous magnetic moment of the muon. Il Nuovo Cimento, vol. A9, 1972, 369–432.

  21. [21]

    F. Combley -E. Picasso,The muon (g - 2)precession experiment: past, present and future. Phys. Rep., vol. 14, 1974, 1–58.

  22. [22]

    J. Bailey -K. Borer -F. Combley -H. Drumm -F. Krienen -F. Lange -E. Picasso -W. von Rüden -F. J. M. Farley -J. H. Field -W. Flegel -P. M. Hattersley,Measurements of relativistic time dilatation for positive and negative muons in a circular orbit. Nature, vol. 268, 1977, 301–305.

  23. [23]

    A. Einstein,Elektrodynamik bewegter körper. Annalen der Physik, vol. 17, 1905, 891–921.

  24. [24]

    M. P. Baladin -V. M. Grebenyuk -V. G. Zinov -A. D. Konin -A. N. Ponomarey,Measurement of the lifetime of the positive muon. Sow Phys. JETP, 40, 1974, 811–814.

  25. [25]

    D. Newman -G. W. Ford -A. Rich -E. Sweetman,Precision experimental verification of special relativity. Phys. Rev. Lett., 40, 1978, 1355–1358.

  26. [26]

    F. Combley -F. J. M. Farley -J. H. Field -E. Picasso, (g - 2)Experiments as a test of special relativity. Phys. Rev. Lett., 42, 1979, 1383–1385.

  27. [27]

    J. Bailey -K. Borer -F. Combley -H. Drumm -F. J. M. Farley -J. H. Field -W. Flegel -P. M. Hattersley -F. Krienen -F. Lange -E. Picasso -W. von Rüden,New limits on the electric dipole moment of positive and negative muons. J. Phys., vol. G4, 1978, 345–352.

  28. [28]

    H. U. Martyn,Test of QED by High Energy Electron-Positron Collisions. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 92–161.

  29. [29]

    F. M. Pipkin,Lamb shift measurements. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 696–773.

  30. [30]

    D. A. Andrews -G. Newton,Radio-frequency atomic beam measurement of the (2 22 S ]/2 ,F = 0) - -(22P1/2,F = 1)Lamb shift interval in hydrogen. Phys. Rev. Lett., vol. 37, 1976, 1254–1257.

  31. [31]

    S. R. Lundeen -F. M. Pipkin,Measurement of the Lamb-shift in hydrogen, n = 2. Phys. Rev. Lett., vol. 46, 1991, 232–235.

  32. [32]

    V. G. Palchicov -Yu. L. Sokolov -V. P. Yakovlev,Lifetime of the 2p status and Lamb-shift in the hydrogen atom. JEPT Letters, vol. 38, 1983, 418–420.

  33. [33]

    T. W. Hänsch, Laser spectroscopy of atomic hydrogen. In: T. W. Hänsch - M. Inguscio (eds.), Proc. Int. School of Physics «E. Fermi». Course CXX, North Holland, Amsterdam .1994, 297–31.6.

  34. [34]

    B. Cagnac -M. D. Plimmer -L. Julien -F. Biraben,The hydrogen, atom, a tool for metrology. Repr. Prog. Phys., vol. 57, 1994, 853–893.

  35. [35]

    N. Ramsey,Atomic hydrogen hyperfine structure experiments. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 673–695.

  36. [36]

    V. W. Hughes -G. zu Pulitz,Muonium. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 822–904.

  37. [37]

    Allen P. Mills Jr. -Steve Chu,Precision measurements in positronium. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 774–821.

  38. [38]

    E. R. Cohen -B. N. Taylor,The 1986 adjustment of the fundamental physical constants. Rev. Mod. Phys., vol. 59, 1987, 1121–1148.

  39. [39]

    E. Klempt -R. Schulze -H. Wolf -M. Camani -F. N. Gygax -W. Rüegg -A. Schlnck -H. Shilling,Measurement of the magnetic moment of the positive muon by a stroboscopic muon-spin-rotation technique. Phys. Rev., D25, 1982, 652–676.

  40. [401

    D. R. Yennie.Integral quantum Hall effect for nonspecialists. Rev. Mod. Phys., vol. 59, 1987, 781–824.

  41. [41]

    A. Blondll, Precision Electroweak Physics at LEP. CERN-PPE/94-133, 1994.

  42. [42]

    A. A. Sokolov - I. M. Ternov, Synchrotron Radiation. Pergamon Press, 1968.

  43. [43]

    S. L. Adler,Photon splitting and photon dispersion in strong magnetic field. Annals of Physics, 67, 1971, 599–647.

  44. [44]

    E. Iacopini - P. Lazeyras - M. Morpurgo - E. Picasso - B. Smith - E. Zavattini, Experimental determination of Vacuum Polarization Effects on a Laser Light-Beam Propagating in a Strog Magnetic Field. CERN, Proposal D2, 1980, 1-19.

  45. [45]

    E. Iacopini -E. Zavattni,Experimental method to detect the vacuum birifringence induced by a magnetic field. Phys. Lett., B85, 1979, 151.

  46. [46]

    Wei-Tou Ni -K. Tsubono -N. Mio -K. Nakihara -S. Chen -Sun-Kun-King S. Pan,Test of quantum electrodynamics using ultra-high sensitive interferometers. Modern Physics Letters, A, vol. 6, 1991, 3671–3678.

  47. [47]

    G. Feinberg, On knowing things better and better. Some thoughts about precise physical measurements. In: M. E. Zeller (ed.), A Festschrift in honor of V. W. Huges. World Scientific, 1991, 13-27.

  48. [48]

    S. Koenig -A. G. Prodell. -P. Kusch.The anomalous magnetic moment of the electron. Phys. Rev., vol. 88, 1952, 191–199.

  49. [49]

    R. Karplus -N. Kroel,Fourth-order corrections in quantum electrodynamics and the magnetic moment of the electron. Phys. Rev., vol. 77, 1950, 536–549.

  50. [50]

    C. Sommerfield,Magnetic Dipole moment of the electron. Phys. Rev., vol. 107, 1957, 328–329.

  51. [51]

    P. Franken -S. Liebes Jr.,Magnetic moment of the proton in Bohr magnetons. Phys. Rev., vol. 104, 1970, 1197–1198.

  52. [52]

    D. Kleppner,Trapped atomic hydrogen. In: G. F. Bassani - M. Inguscio - T. W. Hänsch (eds.),The Hydrogen Atom. Springer-Verlag, Berlin 1989, 103–111.

  53. [53]

    H. Helwig -R. C. Vessot -M.W. Levine -P. W. Zitzewitz -D. W. Allan -D. J. Glaze,Measurement of the unperturbated hydrogen hyperfine transition frequency. IEEE Trans. Instrum. Meas., vol. 19, 1970, 200–209.

  54. [54]

    L. Essen -R. W. Donaldson -M. J. Bangiiam -E. G. Hope,Frequency of hydrogen maser. Nature, vol. 229, 1971, 110.

Download references

Author information

Correspondence to Emilio Picasso.

Additional information

Presentata nella seduta del 9 marzo 1996.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Picasso, E. The anomalous magnetic moment of the muon and related topics. Rend. Fis. Acc. Lincei 7, 209–241 (1996). https://doi.org/10.1007/BF03001803

Download citation

KEY words

  • Quantum electrodynamics tests
  • Muon (g - 2)
  • Lifetime