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Reference

  1. G. W. Bennett et al. [Muon (g-2) Collaboration], Phys. Rev. Lett. 92 (2004) 161802

    Article  ADS  Google Scholar 

  2. P. A. M. Dirac, Proc. Roy. Soc. A 126 (1930) 360

    Article  ADS  Google Scholar 

  3. C. D. Anderson, S. H. Neddermeyer, Phys. Rev. 50 (1936) 263; S. H. Neddermeyer, C. D. Anderson, Phys. Rev. 51 (1937) 884

    Google Scholar 

  4. C. D. Anderson, Phys. Rev. 43 (1933) 491.

    Article  ADS  Google Scholar 

  5. P. A. M. Dirac, Proc. Roy. Soc. A 133 (1931) 60; Phys. Rev. 74 (1948) 817

    Article  MATH  ADS  Google Scholar 

  6. G. E. Uhlenbeck, S. Goudsmit, Naturwissenschaften 13 (1925) 953; Nature 117 (1926) 264

    Article  Google Scholar 

  7. E. Back, A. Land’e, Zeemane.ekt und Multiplettstruktur der Spektrallinien, 1st edn (J. Springer, Berlin 1925), pp. 213; see also: H. A. Bethe, E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Systems, Handbuch der Physik, Band XXXV, Atoms I (Springer Verlag, Berlin, 1957)

    Google Scholar 

  8. W. Pauli, Zeits. Phys. 43 (1927) 601

    Article  ADS  Google Scholar 

  9. P. A. M. Dirac, Proc. Roy. Soc. A 117 (1928) 610; A 118 (1928) 351

    Article  ADS  Google Scholar 

  10. L. E. Kinster, W. V. Houston, Phys. Rev. 45 (1934) 104

    Article  ADS  Google Scholar 

  11. P. Kusch, Science 123 (1956) 207; Physics Today 19 (1966) 23

    Article  ADS  Google Scholar 

  12. S. Tomonaga, Riken Iho, Progr. Theor. Phys. 1 (1946) 27; 76 (19J. Schwinger, Phys. Rev. 74 (1948) 1439; R. P. Feynman, Phys. Rev. 49) 749; F. Dyson, Phys. Rev. 75 (1949) 486, ibid. 1736

    Article  MATH  ADS  Google Scholar 

  13. J. S. Schwinger, Phys. Rev. 73 (1948) 416

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. S. S. Schweber, QED and the Men Who Made It: Dyson, Feynman, Schwinger, and Tomonaga, 1st edn (Princeton University Press, Princeton 1994) pp. 732

    Google Scholar 

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

    Article  ADS  Google Scholar 

  16. D. E. Nagle, R. S. Julian, J. R. Zacharias, Phys. Rev. 72 (1947) 971

    Article  ADS  Google Scholar 

  17. G. Breit, Phys. Rev. 72 (1947) 984

    Article  ADS  MATH  Google Scholar 

  18. P. Kusch, H. M. Foley, Phys. Rev. 73 (1948) 421; Phys. Rev. 74 (1948) 250

    Article  Google Scholar 

  19. W. E. Lamb Jr, R. C. Retherford, Phys. Rev. 72 (1947) 241

    Article  ADS  Google Scholar 

  20. H. A. Bethe, Phys. Rev. 72 (1947) 339; N. M. Kroll, W. E. Lamb Jr, Phys. Rev. 75 (1949) 388; V. Weisskopf, J. B. French, Phys. Rev. 75 (1949) 1240

    Article  ADS  Google Scholar 

  21. H. Weyl, I. Zeits. Phys. 56 (1929) 330

    Article  ADS  Google Scholar 

  22. C. N. Yang, R. L. Mills, Phys. Rev. 96 (1954) 191

    Article  ADS  MathSciNet  Google Scholar 

  23. G. ’t Hooft, Nucl. Phys. B 33 (1971) 173; 35 (1971) 167; G. ’t Hooft, M. Veltman, Nucl. Phys. B 50 (1972) 318

    Article  ADS  Google Scholar 

  24. S. L. Glashow, Nucl. Phys. B 22 (1961) 579; S. Weinberg, Phys. Rev. Lett. 19 (1967) 1264; A. Salam, Weak and electromagnetic interactions. In: Elementary Particle Theory, ed by N. Svartholm, (Amquist andWiksells, Stockholm 1969) pp. 367–377

    Article  Google Scholar 

  25. H. Fritzsch, M. Gell-Mann, H. Leutwyler, Phys. Lett. 47B (1973) 365

    Google Scholar 

  26. H. D. Politzer, Phys. Rev. Lett. 30 (1973) 1346; D. Gross , F. Wilczek, Phys. Rev. Lett. 30 (1973) 1343

    Article  ADS  Google Scholar 

  27. W. Bernreuther, M. Suzuki, Rev. Mod. Phys. 63 (1991) 313 [Erratum-ibid. 64 (1992) 633]

    Article  ADS  Google Scholar 

  28. B. C. Regan, E. D. Commins, C. J. Schmidt, D. DeMille, Phys. Rev. Lett. 88 (2002) 071805

    Article  ADS  Google Scholar 

  29. F. J. M. Farley et al., Phys. Rev. Lett. 93 (2004) 052001; M. Aoki et al. [J-PARC Letter of Intent]: Search for a Permanent Muon Electric Dipole Moment at the × 10-24 e˙ cm Level, http://www-ps.kek.jp/jhf-np/LOIlist/pdf/L22.pdf

    Article  ADS  Google Scholar 

  30. W. H. Luisell, R. W. Pidd, H. R. Crane, Phys. Rev. 91 (1953) 475; ibid. 94 (1954) 7; A. A. Schupp, R. W. Pidd, H. R. Crane, Phys. Rev. 121 (1961) 1; H. R. Crane, Sci. American 218 (1968) 72

    Google Scholar 

  31. V. B. Berestetskii, O. N. Krokhin, A. X. Klebnikov, Zh. Eksp. Teor. Fiz. 30 (1956) 788 [Sov. Phys. JETP 3 (1956) 761]; W. S. Cowland, Nucl. Phys. B 8 (1958) 397

    Google Scholar 

  32. T. D. Lee, C. N. Yang, Phys. Rev. 104 (1956) 254

    Article  ADS  Google Scholar 

  33. R. L. Garwin, L. Lederman, M. Weinrich, Phys. Rev. 105 (1957) 1415

    Article  ADS  Google Scholar 

  34. J. I. Friedman, V .L. Telegdi, Phys. Rev. 105 (1957) 1681

    Article  ADS  Google Scholar 

  35. R. L. Garwin, D. P. Hutchinson, S. Penman, G. Shapiro, Phys. Rev. 118 (1960) 271

    Article  ADS  Google Scholar 

  36. G. Charpak, F. J. M. Farley, R. L. Garwin, T. Muller, J. C. Sens, V. L. Telegdi, A. Zichichi, Phys. Rev. Lett. 6 (1961) 128; G. Charpak, F. J. M. Farley, R. L. Garwin, T. Muller, J. C. Sens, A. Zichichi, Nuovo Cimento 22 (1961) 1043; Phys. Lett. 1B (1962) 16

    Article  ADS  Google Scholar 

  37. G. Charpak, F. J. M. Farley, R. L. Garwin, T. Muller, J. C. Sens, A. Zichichi, Nuovo Cimento 37 (1965) 1241

    Article  Google Scholar 

  38. F. J. M. Farley, J. Bailey, R. C. A. Brown, M. Giesch, H. Jöstlein, S. van der Meer, E. Picasso, M. Tannenbaum, Nuovo Cimento 45 (1966) 281

    Article  ADS  Google Scholar 

  39. J. Bailey et al., Phys. Lett. B 28 (1968) 287

    Article  ADS  Google Scholar 

  40. J. Bailey, W. Bartl, G. von Bochmann, R. C. A. Brown, F. J. M. Farley, M. Giesch, H. Jöstlein, S. van der Meer, E. Picasso, R. W. Williams, Nuovo Cimento A 9 (1972) 369

    Article  ADS  Google Scholar 

  41. J. Aldins, T. Kinoshita, S. J. Brodsky, A. J. Dufner, Phys. Rev. Lett. 23 (1969) 441; Phys. Rev. D 1 (1970) 2378

    Article  ADS  Google Scholar 

  42. R. Karplus, N. M. Kroll, Phys. Rep. C 77 (1950) 536

    MATH  Google Scholar 

  43. C. M. Sommerfield, Phys. Rev. 107 (1957) 328; Ann. Phys. (N.Y.) 5 (1958) 26

    Article  ADS  Google Scholar 

  44. A. Petermann, Helv. Phys. Acta 30 (1957) 407; Nucl. Phys. 5 (1958) 677

    Google Scholar 

  45. H. Suura, E. Wichmann, Phys. Rev. 105 (1957) 1930; A. Petermann, Phys. Rev. 105 (1957) 1931

    Article  ADS  Google Scholar 

  46. H. H. Elend, Phys. Lett. 20 (1966) 682; Erratum-ibid. 21 (1966) 720

    Article  ADS  Google Scholar 

  47. T. Kinoshita, Nuovo Cim. B 51 (1967) 140

    Article  ADS  Google Scholar 

  48. B. E. Lautrup, E. De Rafael, Phys. Rev. 174 (1968) 1835

    Article  ADS  Google Scholar 

  49. J. A. Mignaco, E. Remiddi, Nuovo Cim. A 60 (1969) 519

    Article  ADS  Google Scholar 

  50. S. Laporta, E. Remiddi, Phys. Lett. B 379 (1996) 283

    Article  ADS  Google Scholar 

  51. M. I. Levine, ASHMEDAI. Comput. Phys. I (1967) 454; R. C. Perisho, ASHMEDAI User’s Guide, U.S. AEC Report No. COO-3066-44, 1975

    Google Scholar 

  52. M. J. G. Veltman, SchoonShip, CERN Report 1967

    Google Scholar 

  53. H. Strubbe, Comput. Phys. Commun. 8 (1974) 1; Comput. Phys. Commun. 18 (1979) 1

    Article  ADS  Google Scholar 

  54. A. C. Hearn, REDUCE User’s Manual, Stanford University, Report No. ITP- 292, 1967, rev. 1968; A. C. Hearn, REDUCE 2 User’s Manual. Stanford Arti- .cial Intelligence Project Memo AIM-133, 1970 (unpublished)

    Google Scholar 

  55. J. A. M. Vermaseren, Symbolic manipulation with FORM, Amsterdam, Computer Algebra Nederland, 1991.

    Google Scholar 

  56. J. Bailey et al. [CERN Muon Storage Ring Collaboration], Phys. Lett. B 67 (1977) 225 [Phys. Lett. B 68 (1977) 191]

    Article  ADS  Google Scholar 

  57. J. Bailey et al. [CERN-Mainz-Daresbury Collaboration], Nucl. Phys. B 150 (1979) 1

    Article  ADS  Google Scholar 

  58. N. Cabbibo, R. Gatto, Phys. Rev. Lett. 4 (1960) 313, Phys. Rev. 124 (1961) 1577

    Article  ADS  Google Scholar 

  59. C. Bouchiat, L. Michel, J. Phys. Radium 22 (1961) 121

    Article  Google Scholar 

  60. L. Durand, III., Phys. Rev. 128 (1962) 441; Erratum-ibid. 129 (1963) 2835

    Article  ADS  MathSciNet  Google Scholar 

  61. T. Kinoshita, R. J. Oakes, Phys. Lett. 25B (1967) 143

    Article  Google Scholar 

  62. A. R. Erwin, R. March, W. D. Walker, E. West, Phys. Rev. Lett. 6 (1961) 628; D. Stonehill et al., Phys. Rev. Lett. 6 (1961) 624; E. Pickup, D. K. Robinson, E. O. Salant, Phys. Rev. Lett. 7 (1961) 192; D. McLeod, S. Richert, A. Silverman, Phys. Rev. Lett. 7 (1961) 383; D. D. Carmony, R. T. Van de Walle, Phys. Rev. Lett. 8 (1962) 73; J. Button, G. R. Kalb.eisch, G. R. Lynch, B. C. Maglic, A. H. Rosenfeld, M. L. Stevenson, Phys. Rev. 126 (1962) 1858

    Article  ADS  Google Scholar 

  63. B. C. Maglic, L. W. Alvarez, A. H. Rosenfeld, M. L. Stevenson, Phys. Rev. Lett. 7 (1961) 178; N. H. Xuong, G. R. Lynch, Phys. Rev. Lett. 7 (1961) 327; A. Pevsner et al., Phys. Rev. Lett. 7 (1961) 421; M. L. Stevenson, L. W. Alvarez, B. C. Maglic, A. H. Rosenfeld, Phys. Rev. 125 (1962) 687

    Article  ADS  Google Scholar 

  64. M. Gourdin, E. De Rafael, Nucl. Phys. B 10 (1969) 667

    Article  ADS  Google Scholar 

  65. V. L. Auslander, G. I. Budker, Ju. N. Pestov, A. V. Sidorov, A. N. Skrinsky. A. G. Kbabakhpashev, Phys. Lett. B 25 (1967) 433

    Google Scholar 

  66. J. E. Augustin et al., Phys. Lett. B 28 (1969), 503, 508, 513, 517

    Article  ADS  Google Scholar 

  67. C. Heisey et al., A new precision measurement of the muon g-2 value at the level of 6.35 ppm, Brookhaven AGS Proposal 821 (1985), revised (1986). Design Report for AGS 821 (1989)

    Google Scholar 

  68. R. Jackiw, S. Weinberg, Phys. Rev. D 5 (1972) 2396; I. Bars, M. Yoshimura, Phys. Rev. D 6 (1972) 374; G. Altarelli, N. Cabibbo, L. Maiani, Phys. Lett. B 40 (1972) 415; W. A. Bardeen, R. Gastmans, B. Lautrup, Nucl. Phys. B 46 (1972) 319; K. Fujikawa, B. W. Lee, A. I. Sanda, Phys. Rev. D 6 (1972) 2923

    Article  ADS  Google Scholar 

  69. T. Kinoshita, W. B. Lindquist, Phys. Rev. Lett. 47 (1981) 1573

    Article  ADS  Google Scholar 

  70. T. Kinoshita, B. Nizic, Y. Okamoto, Phys. Rev. Lett. 52 (1984) 717; Phys. Rev. D 31 (1985) 2108

    Article  ADS  Google Scholar 

  71. T. Kinoshita, M. Nio, Phys. Rev. Lett. 90 (2003) 021803; Phys. Rev. D 70 (2004) 113001

    Article  ADS  Google Scholar 

  72. L. M. Barkov et al., Nucl. Phys. B 256 (1985) 365

    Article  ADS  Google Scholar 

  73. J. A. Casas, C. Lopez, F. J. Ynduráin, Phys. Rev. D 32 (1985) 736

    Article  ADS  Google Scholar 

  74. F. Jegerlehner, Z. Phys. C 32 (1986) 195

    Article  ADS  Google Scholar 

  75. S. Eidelman, F. Jegerlehner, Z. Phys. C 67 (1995) 585

    Article  ADS  Google Scholar 

  76. J. Z. Bai et al. [BES Collaboration], Phys. Rev. Lett. 84 (2000) 594; Phys. Rev. Lett. 88 (2002) 101802

    Article  ADS  Google Scholar 

  77. R. R. Akhmetshin et al. [CMD-2 Collaboration], Phys. Lett. B 578 (2004) 285

    Article  ADS  Google Scholar 

  78. A. Aloisio et al. [KLOE Collaboration], Phys. Lett. B 606 (2005) 12

    Article  ADS  MathSciNet  Google Scholar 

  79. V. M. Aulchenko et al. [CMD-2 Collaboration], JETP Lett. 82 (2005) 743 [Pisma Zh. Eksp. Teor. Fiz. 82 (2005) 841]; R. R. Akhmetshin et al., JETP Lett. 84 (2006) 413 [Pisma Zh. Eksp. Teor. Fiz. 84 (2006) 491]; hepex/0610021

    Article  ADS  Google Scholar 

  80. M. N. Achasov et al. [SND Collaboration], J. Exp. Theor. Phys. 103 (2006) 380 [Zh. Eksp. Teor. Fiz. 130 (2006) 437]

    Article  ADS  Google Scholar 

  81. B. Aubert et al. [BABAR Collaboration], Phys. Rev. D 70 (2004) 072004; 71 (2005) 052001; 73 (2006) 012005; 73 (2006) 052003

    Article  ADS  Google Scholar 

  82. S. Dytman, Nucl. Phys. B (Proc. Suppl.) 131 (2004) 213

    Article  Google Scholar 

  83. F. J. M. Farley, Y. K. Semertzidis, Prog. Part. Nucl. Phys. 52 (2004) 1

    Article  ADS  Google Scholar 

  84. H. N. Brown et al. [Muon (g-2) Collaboration], Phys. Rev. D 62 (2000) 091101

    Article  ADS  Google Scholar 

  85. H. N. Brown et al. [Muon (g-2) Collaboration], Phys. Rev. Lett. 86 (2001) 2227

    Article  ADS  Google Scholar 

  86. G. W. Bennett et al. [Muon (g-2) Collaboration], Phys. Rev. Lett. 89 (2002) 101804 [Erratum-ibid. 89 (2002) 129903]

    Article  ADS  Google Scholar 

  87. M. Knecht, A. Ny.eler, Phys. Rev. D 65 (2002) 073034; A. Ny.eler, hepph/0210347 (and references therein)

    Google Scholar 

  88. K. Ackersta. et al. [OPAL Collab.], Phys. Lett. B 431 (1998) 188; M. Acciarri et al. [L3 Collab.], Phys. Lett. B 434 (1998) 169; W. Lohmann, Nucl. Phys. B (Proc. Suppl.) 144 (2005) 122

    Article  ADS  Google Scholar 

  89. B. L. Roberts Nucl. Phys. B (Proc. Suppl.) 131 (2004) 157; R. M. Carey et al., Proposal of the BNL Experiment E969, 2004 (www.bnl.gov/ henp/docs/pac0904/P969.pdf); J-PARC Letter of Intent L17, B. L. Roberts contact person

    Article  Google Scholar 

  90. J. Bailey, E. Picasso, Progr. Nucl. Phys. 12 (1970) 43

    Google Scholar 

  91. B. E. Lautrup, A. Peterman, E. de Rafael, Phys. Reports 3C (1972) 193

    Google Scholar 

  92. F. Combley, E. Picasso, Phys. Reports 14C (1974) 1

    Article  ADS  Google Scholar 

  93. F. J. M. Farley, Contemp. Phys. 16 (1975) 413

    Article  ADS  Google Scholar 

  94. T. Kinoshita, Quantum Electrodynamics, 1st edn (World Scienti.c, Singapore 1990) pp. 997, and contributions therein

    MATH  Google Scholar 

  95. F. J. M. Farley, E. Picasso, In: Quantum Electrodynamics, ed T. Kinoshita (World Scienti.c, Singapore 1990) pp. 479–559

    Google Scholar 

  96. T. Kinoshita, W. J. Marciano, In: Quantum Electrodynamics, ed. T. Kinoshita (World Scienti.c, Singapore 1990) pp. 419–478

    Google Scholar 

  97. V. W. Hughes, T. Kinoshita, Rev. Mod. Phys. 71 (1999) S133

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  99. A. Czarnecki, W. J. Marciano, Phys. Rev. D 64 (2001) 013014

    Article  ADS  Google Scholar 

  100. V. W. Hughes, The anomalous magnetic moment of the muon. In: Intern. School of Subnuclear Physics: 39th Course: New Fields and Strings in Subnuclear Physics, Erice, Italy, 29 Aug - 7 Sep 2001; Int. J. Mod. Phys. A 18S1 (2003) 215

    Google Scholar 

  101. E. de Rafael, The muon g-2 revisited. In: XVI Les Rencontres de Physique de la Vallee d’Aoste: Results and Perspectives in Particle Physics, La Thuile, Aosta Valley, Italy, 3–9 Mar 2002; hep-ph/0208251

    Google Scholar 

  102. A. Nyffeler, Acta Phys. Polon. B 34 (2003) 5197; Nucl. Phys. B (Proc. Suppl.) 131 (2004) 162; hep-ph/0305135

    ADS  Google Scholar 

  103. M. Knecht, The anomalous magnetic moment of the muon: A theoretical introduction, In: 41st International University School of Theoretical Physics: Flavor Physics (IUTP 41), Schladming, Styria, Austria, 22–28 Feb 2003; hepph/0307239

    Google Scholar 

  104. M. Passera, J. Phys. G 31 (2005) R75

    Article  ADS  Google Scholar 

  105. K. P. Jungmann, Precision Measurements at the Frontiers of Standard Theory: The Magnetic Anomaly of Leptons, DPG Frühjahrstagung, Berlin, 4–9 March 2005

    Google Scholar 

  106. P. J. Mohr, B. N. Taylor, Rev. Mod. Phys. 72 (2000) 351; Rev. Mod. Phys. 77 (2005) 1

    Article  ADS  Google Scholar 

  107. T. Kinoshita, Nucl. Phys. B (Proc. Suppl.) 144 (2005) 206

    Article  ADS  Google Scholar 

  108. K. Melnikov, A. Vainshtein, Theory of the muon anomalous magnetic moment, (Springer, Berlin, 2006) 176 p

    Google Scholar 

  109. J. P. Miller, E. de Rafael, B. L. Roberts, Rept. Prog. Phys. 70 (2007) 795

    Article  ADS  Google Scholar 

  110. J. Bijnens, J. Prades, Mod. Phys. Lett. A 22 (2007) 767

    Article  ADS  Google Scholar 

  111. M. Passera, Nucl. Phys. Proc. Suppl. 169 (2007) 213

    Article  ADS  Google Scholar 

  112. T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio, arXiv:0706.3496 [hep-ph]

    Google Scholar 

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Jegerlehner, F. (2008). Introduction. In: Jegerlehner, F. (eds) The Anomalous Magnetic Moment of the Muon. Springer Tracts in Modern Physics, vol 226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72634-0_1

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