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Present Status of g — 2 of Electron and Muon

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The Hydrogen Atom

Part of the book series: Lecture Notes in Physics ((LNP,volume 570))

Abstract

The current status of the theory of the magnetic moment anomaly of the electron and muon is reviewed with particular emphasis on the on-going effort to reduce the statistical and non-statistical uncertainties in the numerical evaluation of the QED contribution.

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References

  1. R. S. Van Dyck, Jr., P. B. Schwinberg, and H. G. Dehmelt: Phys. Rev. Lett. 59, 26 (1987)

    Article  ADS  Google Scholar 

  2. G. P. Lepage: J. Comput. Phys. 27, 192 (1978)

    Article  MATH  ADS  Google Scholar 

  3. G. Breit: Phys. Rev. 72, 984L (1947), Phys. Rev. 73, 1410L (1948), Phys. Rev. 74, 656 (1948)

    Article  ADS  Google Scholar 

  4. J. E. Nafe, E. B. Nelson, and I. I. Rabi: Phys. Rev. 71, 914 (1947)

    Article  ADS  Google Scholar 

  5. J. E. Nagle, R. S. Julian, and J. R. Zacharias: Phys. Rev. 72, 971 (1947)

    Article  ADS  Google Scholar 

  6. P. Kusch and H. M. Foley: Phys. Rev. 72, 1256 (1947)

    Article  ADS  Google Scholar 

  7. J. Schwinger: Phys. Rev. 73, 416L (1948)

    Article  ADS  MathSciNet  Google Scholar 

  8. L. S. Brown et al.: Phys. Rev. A 32, 3204 (1985), Phys. Rev. Lett. 55, 44 (1985)

    Article  ADS  Google Scholar 

  9. R. S. Van Dyck, Jr., P. B. Schwinberg, and H. G. Dehmelt: in The Electron, ed. by D. Hestenes and A. Weingartshofer (Kluwer, Netherlands, 1991), pp. 239–293

    Google Scholar 

  10. R. Mittleman et al.: Phys. Rev. Lett. 75, 2839 (1995)

    Article  ADS  Google Scholar 

  11. G. Gabrielse and J. Tan: Cavity Quantum Electrodynamics in Advances in Atomic, Molecular and Optical Physics, Supplement 2, edited by P. R. Berman (Academic, 1994), p. 267–299

    Google Scholar 

  12. See references in the review article by T. Kinoshita: Rep. Prog. Phys. 59, 1459 (1996)

    Article  ADS  Google Scholar 

  13. V. W. Hughes and T. Kinoshita: Rev. Mod. Phys. 71, S133 (1999)

    Article  Google Scholar 

  14. S. Laporta and E. Remiddi: Phys. Lett.B 379, 283 (1996)

    Article  ADS  Google Scholar 

  15. T. Kinoshita: Phys. Rev. Lett. 75, 4728 (1995)

    Article  ADS  Google Scholar 

  16. M. Caffo, S. Turrini, and E. Remiddi: Phys. Rev. D 30, 483 (1984); E. Remiddi and S. P. Sorella: Lett. Nuovo Cimento 44, 231 (1985)

    Article  ADS  Google Scholar 

  17. Another approach which may lead to an exact algebraic result is being pursued by P. Mastrolia and E. Remiddi: this edition, pp.776–783

    Google Scholar 

  18. For the literature prior to 1990, see T. Kinoshita: Theory of the anomalous magnetic moment of the electron-Numerical approach, in Quantum Electrodynamics, ed. by T. Kinoshita (World Scientific, Singapore, 1990), pp. 218–321

    Google Scholar 

  19. T. Kinoshita: What Can One Learn from Very Accurate Measurements of the Lepton Magnetic Moments ?, in New Frontiers in High Energy Physics, Eds. B. Kursunoglu, A. Perlmutter, and L. F. Scott (Plenum, New York, 1978), pp.127–143

    Google Scholar 

  20. M. A. Samuel and G. Li: Phys. Rev. D 44, 3935 (1991), Phys. Rev. D 48, 1879 (1991)(E)

    Article  ADS  Google Scholar 

  21. G. Li, R. Mendel, and M. A. Samuel: Phys. Rev. D 47, 1723 (1993)

    Article  ADS  Google Scholar 

  22. A. Czarnecki and M. Skrzypek: Phys. Lett. B 449, 354 (1999)

    Article  ADS  Google Scholar 

  23. S. Laporta: Nuovo Cimento A 106, 675 (1993)

    Article  ADS  Google Scholar 

  24. S. Laporta and E. Remiddi: Phys. Lett. B 301, 440 (1993)

    Article  ADS  Google Scholar 

  25. P. J. Mohr and B. N. Taylor: Rev. Mod. Phys. 72, 351 (2000)

    Article  ADS  Google Scholar 

  26. S. Laporta: Phys. Lett.B 312, 495 (1993)

    Article  ADS  Google Scholar 

  27. S. Laporta: Phys. Lett.B 328, 522 (1994)

    Article  ADS  Google Scholar 

  28. B. Lautrup: Phys. Lett.B 69, 109 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  29. M. Davier and A. Höcker: Phys. Lett.B 435, 427 (1998)

    Article  ADS  Google Scholar 

  30. B. Krause: Phys. Lett.B 390, 392 (1997)

    Article  ADS  Google Scholar 

  31. M. Hayakawa and T. Kinoshita: Phys. Rev. D 57, 465 (1998)

    Article  ADS  Google Scholar 

  32. A. Jeffery et al.: IEEE Trans. Instrum. Meas. 46, 264 (1997)

    Article  Google Scholar 

  33. E. Krüger, W. Nistler, and W. Weirauch: Metrologia 36, 147 (1999)

    Article  ADS  Google Scholar 

  34. W. Liu et al.: Phys. Rev. Lett. 82, 711 (1999)

    Article  ADS  Google Scholar 

  35. K. Jungmann: this book, pp.81–102

    Google Scholar 

  36. Th. Udem et al.: Phys. Rev. Lett. 82, 3568 (1999)

    Article  ADS  Google Scholar 

  37. B. C. Young: Stanford University Ph. D. thesis, 1997

    Google Scholar 

  38. T. Zhang, Z.-C. Yan, and G. W. F. Drake: Phys. Rev. Lett. 77, 1715 (1996)

    Article  ADS  Google Scholar 

  39. J. Castillega et al.: Phys. Rev. Lett. 84, 4321 (2000)

    Article  ADS  Google Scholar 

  40. F. Minardi et al.: Phys. Rev. Lett. 82, 1112 (1999)

    Article  ADS  Google Scholar 

  41. G. W. F. Drake: this book, pp.57–78

    Google Scholar 

  42. P. Cancio Pastor et al., this edition 314–327

    Google Scholar 

  43. D. S. Weiss, B. C. Young, and S. Chu: Phys. Rev. Lett. 70, 2706 (1993)

    Article  ADS  Google Scholar 

  44. M. W. Keller, et al.: SCIENCE 285, 1706 (1999)

    Article  Google Scholar 

  45. J. Bailey, et al.: Nucl. Phys.B 150, 1 (1979)

    Article  ADS  Google Scholar 

  46. F. J. M. Farley and E. Picasso: The Muon g-2 Experiments, in Quantum Electrodynamics, edited by T. Kinoshita (World Scientific, Singapore, 1990), pp. 479–559

    Google Scholar 

  47. R. M. Carey et al.: Phys. Rev. Lett. 82, 1632 (1999)

    Article  ADS  Google Scholar 

  48. B. L. Roberts: hep-ex/0002005; H. N. Brown et al.: submitted to Phys. Rev. D as rapid communication.

    Google Scholar 

  49. T. Kinoshita: Nuovo Cimento 51B, 140 (1967)

    ADS  Google Scholar 

  50. J. Aldins et al.: Phys. Rev. Lett. 23, 441 (1969); Phys. Rev. D 1, 2378 (1970)

    Article  ADS  Google Scholar 

  51. A. S. Elkhovskii: Yad. Fiz. 49, 1059 (1989) [Sov. J. Nucl. Phys. 49, 656 (1989)]

    Google Scholar 

  52. T. Kinoshita: J. Math. Phys. 3, 650 (1962)

    Article  MATH  ADS  Google Scholar 

  53. For the literature prior to 1990, see T. Kinoshita and W. J. Marciano, Theory of the muon anomalous magnetic moment, in Quantum Electrodynamics, ed. by T. Kinoshita (World Scientific, Singapore, 1990), pp. 419–478

    Google Scholar 

  54. B. E. Lautrup and E. de Rafael: Nucl. Phys.B 70, 317 (1974)

    Article  ADS  Google Scholar 

  55. T. Kinoshita, H. Kawai, and Y. Okamoto: Phys. Lett.B 254, 235 (1991)

    Article  ADS  Google Scholar 

  56. P. A. Baikov and D. J. Broadhurst: in New Computing Techniques in Physics Research IV. International Workshop on Software Engineering and Artificial Intelligence for High Energy and Nuclear Physics, edited by B. Denby and D. Perret-Gallix (World Scientific, Singapore), pp. 167–172

    Google Scholar 

  57. T. Kinoshita and M. Nio: Phys. Rev. D 60, 053008 (1999)

    Google Scholar 

  58. S. G. Karshenboim: Yad. Fiz. 56, 252 (1993) [Phys. At. Nucl. 56, 857 (1993)]

    Google Scholar 

  59. T. Kinoshita, B. Nižić, and Y. Okamoto: Phys. Rev. D 31, 2108 (1985)

    ADS  Google Scholar 

  60. A. Czarnecki, B. Krause, and W. J. Marciano: Phys. Rev. Lett. 76, 3267 (1996), Phys. Rev. D 52, R2619 (1995); S. Peris, M. Perrottet, and E. de Rafael: Phys. Lett. B 355, 523 (1995); T. V. Kukhto, E. A. Kuraev, A. Schiller, and Z. K. Silagadze: Nucl. Phys. B 371, 567 (1992); G. Degrassi and G. F. Giudice: Phys. Rev. D 58, 053007 (1998)

    Article  ADS  Google Scholar 

  61. Z.-G. Zhao: in Proc. of the XIX International Symposium on Lepton and Photon Interactions at High Energies, Stanford, August 1999, ed. M. Peskin, pp. 368–385

    Google Scholar 

  62. S. Bertolucci: in Proc. of the XIX International Symposium on Lepton and Photon Interactions at High Energies, Stanford, August 1999, ed. M. Peskin, pp. 132–139

    Google Scholar 

  63. J. Z. Bai et al.: Phys. Rev. Lett. 84, 594 (2000)

    Article  ADS  Google Scholar 

  64. M. Hayakawa, T. Kinoshita and A. I. Sanda: Phys. Rev. Lett. 75, 790 (1995); Phys. Rev. D 54, 3137 (1996)

    Article  ADS  Google Scholar 

  65. J. Bijnens, E. Pallante and J. Prades: Phys. Rev. Lett. 75, 1447 (1995), Phys. Rev. Lett. 75, 3781 (1995), Nucl. Phys. B 474, 379 (1996)

    Article  ADS  Google Scholar 

  66. J. Gronberg et al.: Phys. Rev. D 57, 33 (1998)

    Article  ADS  Google Scholar 

  67. A. Czarnecki and W. J. Marciano: Nucl. Phys.B (Proc. Suppl.) 76, 245 (1999)

    Article  Google Scholar 

  68. M. L. Graesser: hep-ph/9902310 (1999); G. Shiu, R. Shrock, and S.-H. Henry Tye: Phys. Lett. B 458, 274 (1999)

    Google Scholar 

  69. R. Jackiw and V. A. Kostelecký: Phys. Rev. Lett. 82, 3572 (1999); R. Bluhm, V. A. Kostelecký, and C. D. Lane: Phys. Rev. Lett. 84, 1098 (2000)

    Article  ADS  Google Scholar 

  70. V. W. Hughes et al.: this edition 397–406

    Google Scholar 

  71. T. Kinoshita: IEEE Trans. Instrum. Meas. 44, 498 (1995)

    Article  Google Scholar 

  72. T. Kinoshita: IEEE Trans. Instrum. Meas. 46, 108 (1997)

    Article  MathSciNet  Google Scholar 

  73. F. Bloch: Phys. Rev. Lett. 21, 1241 (1968), Phys. Rev. B 2, 109 (1970); T. A. Fulton: Phys. Rev. B 7, 981 (1973)

    Article  ADS  Google Scholar 

  74. R. B. Laughlin: Phys. Rev.B 23, 5632 (1981); B. I. Halperin: Phys. Rev. B 25, 2185 (1982); R. E. Prange: Phys. Rev. B 23, 4802 (1981); D. J. Thouless, et al.: Phys. Rev. Lett. 49, 405 (1982)

    Article  ADS  Google Scholar 

  75. R. Sinkovits, private communication (1999)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Newman Laboratory, Cornell University, 14853, Ithaca, NY, USA

    Toichiro Kinoshita

Authors
  1. Toichiro Kinoshita
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Editor information

Editors and Affiliations

  1. D.I. Mendeleev Institute for Metrology, 198005, St. Petersburg, Russia

    Savely G. Karshenboim

  2. MPI for Quantum Optics, 85748, Garching, Germany

    Savely G. Karshenboim  & T.W. Hänsch  & 

  3. Scuola Normale Superiore, Piazza dei Cavalieri, Pisa, Italy

    F. Bassani

  4. Dept.of Physics, University of Perugia, Perugia, Italy

    F.S. Pavone

  5. LENS and INFM, University of Florence, 50125, Florence, Italy

    F.S. Pavone

  6. Dept. of Physics and LENS, University of Florence, Florence, Italy

    M. Inguscio

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Kinoshita, T. (2001). Present Status of g — 2 of Electron and Muon. In: Karshenboim, S.G., Bassani, F., Pavone, F., Inguscio, M., Hänsch, T. (eds) The Hydrogen Atom. Lecture Notes in Physics, vol 570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45395-4_9

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  • DOI: https://doi.org/10.1007/3-540-45395-4_9

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