The anomalous magnetic moment of the muon: A review of the theoretical contributions

J. Calmet; S. Narison; M. Perrottet; E. de Rafael

doi:10.1103/RevModPhys.49.21

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The anomalous magnetic moment of the muon: A review of the theoretical contributions

J. Calmet, S. Narison^*, M. Perrottet, and E. de Rafael

Centre de Physique Théorique, CNRS, F—13274 Marseille, France

^*Boursier de la CEE (Communauté Economique Européenne).

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Rev. Mod. Phys. 49, 21 – Published 1 January, 1977

DOI: https://doi.org/10.1103/RevModPhys.49.21

Abstract

We review the possible contributions to the muon $g$ -factor anomaly, $α_{μ} \equiv \frac{1}{2} (g_{μ} - 2)$ which are potentially significant for a comparison between theory and experiment at present. This includes purely quantum electrodynamic (QED) perturbation theory effects up to eighth order; hadronic effects at fourth and sixth order; and weak interaction effects. From these sources we get a total theoretical contribution $α_{μ} (theory) = (1 165 920.6 \pm 12.9) \times 10^{- 9}$ , to be compared with the latest CERN experimental result (Bailey et al., 1975), $α_{μ} (experiment) = 1 165 895 \pm 27) \times 10^{- 9}$ .

References (49)

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[c1] Aldins, J., S. J. Brodsky, A. Dufner, and T. Kinoshita, 1970 Phys. Rev. D 1, 2378

[c2] Bailey, J. et al., 1975, Phys. Lett. B 55, 420

[c3] Barbieri, R. and E. Remiddi, 1975a, Nucl. Phys. B 90, 997

[c4] Barbieri, R. and E. Remiddi, 1975b, Phys. Lett. B 57, 273

[c5] Bardeen, W. A., R. Gastmans, and B. E. Lautrup, 1972, Nucl. Phys. B 46, 319

[c6] Barger, V., W. F. Long, and M. G. Olsson, 1975, Phys. Lett. B 60, 89

[c7] Callan, Jr., C., 1970, Phys. Rev. D 2, 1541

[c8] Calmet, J., S. Narison, M. Perrottet, and E. de Rafael, 1976, Phys. Lett. B 61, 283

[c9] Calmet, J. and A. Peterman, 1973, Phys. Lett. B 47, 369

[c10] Calmet, J. and A. Peterman, 1975a, Phys. Lett. B 56, 383

[c11] Calmet, J. and A. Peterman, 1975b, Phys. Lett. B 58, 449

[c12] Calmet, J. and E. de Rafael, 1975, Phys. Lett. B 56, 181

[c13] Casperson, D. E. et al., 1975, Phys. Lett. B 59, 397

[c14] Chang, C. and M. J. Levine, unpublished

[c15] Combley, F. and E. Picasso, 1974, Phys. Rep. C 14, 1

[c16] Cvitanović, P. and T. Kinoshita, 1974, Phys. Rev. D 10, 4007

[c17] Farley, F. J. M., 1975, Contemp. Phys. 16, 413

[c18] Feldman, G. J., 1975, in Proceedings of the International Symposium on Lepton and Photon Interactions at High Energies, edited by W. T. Kirk (SLAC, Stanford University, Stanford, California)

[c19] Fritzsch, H. and M. Gell-Mann, 1972, in Proceedings of the XVI International Conference on High Energy Physics, edited by J. D. Jackson and A. Roberts (National Accelerator Laboratory, Batavia, Illinois), Vol. 2., p. 135

[c20] Fujikawa, K., B. W. Lee, and A. I. Sanda, 1972, Phys. Rev. D 6, 2923

[c21] Gaillard, Mary K., 1975, Phenomenology of Weak Interactions, Lectures at the Cargese Summer Institute, 1975

[c22] Georgi, H. and S. L. Glashow, 1972, Phys. Rev. Lett. 28, 1494

[c23] Gross, D. J. and F. Wilczek, 1973, Phys. Rev. D 8, 3633

[c24] Kinoshita, T., 1967, Nuovo Cimento B 51, 140

[c25] Kinoshita, T., 1972, J. Math. Phys. 3, 650

[c26] Lautrup, B. E., 1972, Phys. Lett. B 38, 408

[c27] Lautrup, B. E., private communication

[c28] Lautrup, B. E., A. Peterman, and E. de Rafael, 1972, Phys. Rep. C 3, 193

[c29] Lautrup, B. E. and E. de Rafael, 1968, Phys. Rev. 174, 1835

[c30] Lautrup, B. E. and E. de Rafael, 1974, Nucl. Phys. B 70, 317

[c31] Lee, B. W., 1972, Phys. Rev. D 6, 1188

[c32] Levine, M. J., R. C. Perisho, and R. Roskies, 1976, Phys. Rev. D 13, 997

[c33] Morfin, J. G., 1975, in Proceedings of the International Symposium on Lepton and Photon Interactions at High Energies, edited by W. T. Kirk (SLAC, Stanford University, Stanford, California)

[c34] Narison, S., 1976, Thèse de 3e cycle, Marseille

[c35] Olsen, P. T. and E. R. Williams, 1975, in Proceedings of the Fifth International Conference on Atomic Masses and Fundamental Constants, Paris, edited by J. H. Sanders

[c36] Perl, M. et al., 1975, Phys. Rev. Lett. 35, 1489

[c37] Politzer, H. D., 1974, Phys. Rep. C 14, 129

[c38] Prentki, J. and B. Zumino, 1972, Nucl. Phys. B 47, 99

[c39] Primack, J. R. and H. R. Quinn, 1972, Phys. Rev. D 6, 3171

[c40] de Rafael, E., unpublished

[c41] de Rafael, E. and J. L. Rosner, 1974, Ann. Phys. (N.Y.) 82, 369

[c42] Salam, A., 1968, in Proceedings of the Eighth Nobel Symposium, edited by N. Svartholm (Wiley, New York)

[c43] Samuel, M. A., 1974, Phys. Rev. D 9, 2913

[c44] Samuel, M. A. and C. Chlouber, 1976, Phys. Rev. Lett. 36, 442

[c45] Symanzik, K., 1970, Commun. Math. Phys. 18, 227

[c46] Symanzik, K., 1971, Commun. Math. Phys. 23, 49

[c47] Weinberg, S., 1967, Phys. Rev. Lett. 19, 1264

[c48] Weinberg, S., 1975, "Mass of the Higgs Boson," Harvard Preprint

[c49] Wesley, J. C. and E. Rich, 1971, Phys. Rev. A 4, 1341

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The anomalous magnetic moment of the muon: A review of the theoretical contributions

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