Hadronic contributions to the <i>g-2</i> of the muon

J. A. Casas; C. López; F. J. Ynduráin

doi:10.1103/PhysRevD.32.736

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Hadronic contributions to the g-2 of the muon

J. A. Casas, C. López, and F. J. Ynduráin

Departamento de Física Teórica, C-XI, Universidad Autónoma de Madrid, Canto Blanco, 28049 Madrid, Spain

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Phys. Rev. D 32, 736 – Published 1 August, 1985

DOI: https://doi.org/10.1103/PhysRevD.32.736

Abstract

We compute the hadronic vacuum-polarization contributions $a_{v}$ to the muon anomalous magnetic moment $a_{μ}$ . To improve on previous calculations, we use QCD at large energies, and exploit the analyticity properties of the pion form factor. We find $a_{v}$ =(7100±105±49)× $10^{- 11}$ , with which we have $a_{μ}$ (theory)=(116 592 051±114±49)× $10^{- 11}$ . Purely QCD bounds for $a_{v}$ are also presented.

References (15)

(a) T. Kinoshita, B. Nizić and Y. Okamoto, Phys. Rev. Lett. 52, 717 (1984); Phys. Rev. D 31, 2108 (1985) (b) J. Bailey et al., Phys. Lett. B68, 191 (1977).
J. Calmet, S. Narison, M. Perrottet and E. de Rafael, Rev. Mod. Phys. 49, 21 (1977).
J. Calmet et al., Phys. Lett. B61, 283 (1976); V. Barger, W. F. Long and M. G. Olsson, ibid. B60, 89 (1975).
M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B147, 385 (1979); ibid. B147, 448 (1979).
F. J. Ynduráin, Quantum Chromodynamics (Springer, New York, 1983).
R. Blankenbecler and M. Einhorn, Ann. Phys. (N.Y.) 67, 480 (1971).
J. A. Casas, C. López, and F. J. Ynduráin (unpublished).
M. R. Pennington, R. G. Roberts and G. G. Ross, Nucl. Phys. B242, 69 (1984).
(a)Particle Data Group, Phys. Lett. 111B, 161–166 (1982); E. M. Thorndike, in High Energy Physics—1980, proceedings of the XXth International Conference, Madison, Wisconsin, edited by L. Durand and L. G. Pondrom (AIP, New York, 1981); (b) J.-E. Augustin et al., Phys. Rev. Lett. 34, 764 (1975); (c) R. Brandelik et al., Phys. Lett. 76B, 361 (1978); F. W. Hartmut and Sadrozinski, in High Energy Physics—1980 [see (a)]; (d) D. P. Barber et al., Phys. Rev. Lett. 46, 1663 (1981); M. G. D. Gilchriest, SLAC Report No. 245, 1982 (unpublished).
D. Bollini et al., Nuovo Cimento Lett. 14, 418 (1977); A. D. Bukin et al., Phys. Lett. 73B, 226 (1978); A. Quenzer et al., ibid. 76B, 512 (1978); C. J. Bebek et al., Phys. Rev. D 17, 1693 (1978).
(a) P. M. Ivanov et al., Phys. Lett. 107B, 297 (1981); (b) B. W. Wiik and G. Wolf, Electron-Positron Interactions (Springer, New York, 1979); (c) A. Cordier et al., Nucl. Phys. B172, 13 (1980); G. Cosme et al., ibid. B152, 215 (1979); (c) V. A. Sidorov, in Proceedings of the 1979 International Symposium on Lepton and Photon Interactions at High Energies, Fermilab, edited by T. B. W. Kirk and H. D. I. Abarbanel (Fermilab, Batavia, Illinois, 1980).
J. L. Basdevant, P. Chapelle, C. López and M. Sigelle, Nucl. Phys. B98, 285 (1975).
C. López, Phys. Rev. D 17, 2342 (1978).
B. Hyams et al., Nucl. Phys. B64, 134 (1973).
A full discussion of the π pi and F incompatibility shall be given elsewhere by one of us (J.A.C.).

[c1] (a) T. Kinoshita, B. Nizić and Y. Okamoto, Phys. Rev. Lett. 52, 717 (1984); Phys. Rev. D 31, 2108 (1985) (b) J. Bailey et al., Phys. Lett. B68, 191 (1977).

[c2] J. Calmet, S. Narison, M. Perrottet and E. de Rafael, Rev. Mod. Phys. 49, 21 (1977).

[c3] J. Calmet et al., Phys. Lett. B61, 283 (1976); V. Barger, W. F. Long and M. G. Olsson, ibid. B60, 89 (1975).

[c4] M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B147, 385 (1979); ibid. B147, 448 (1979).

[c5] F. J. Ynduráin, Quantum Chromodynamics (Springer, New York, 1983).

[c6] R. Blankenbecler and M. Einhorn, Ann. Phys. (N.Y.) 67, 480 (1971).

[c7] J. A. Casas, C. López, and F. J. Ynduráin (unpublished).

[c8] M. R. Pennington, R. G. Roberts and G. G. Ross, Nucl. Phys. B242, 69 (1984).

[c9] (a)Particle Data Group, Phys. Lett. 111B, 161–166 (1982); E. M. Thorndike, in High Energy Physics—1980, proceedings of the XXth International Conference, Madison, Wisconsin, edited by L. Durand and L. G. Pondrom (AIP, New York, 1981); (b) J.-E. Augustin et al., Phys. Rev. Lett. 34, 764 (1975); (c) R. Brandelik et al., Phys. Lett. 76B, 361 (1978); F. W. Hartmut and Sadrozinski, in High Energy Physics—1980 [see (a)]; (d) D. P. Barber et al., Phys. Rev. Lett. 46, 1663 (1981); M. G. D. Gilchriest, SLAC Report No. 245, 1982 (unpublished).

[c10] D. Bollini et al., Nuovo Cimento Lett. 14, 418 (1977); A. D. Bukin et al., Phys. Lett. 73B, 226 (1978); A. Quenzer et al., ibid. 76B, 512 (1978); C. J. Bebek et al., Phys. Rev. D 17, 1693 (1978).

[c11] (a) P. M. Ivanov et al., Phys. Lett. 107B, 297 (1981); (b) B. W. Wiik and G. Wolf, Electron-Positron Interactions (Springer, New York, 1979); (c) A. Cordier et al., Nucl. Phys. B172, 13 (1980); G. Cosme et al., ibid. B152, 215 (1979); (c) V. A. Sidorov, in Proceedings of the 1979 International Symposium on Lepton and Photon Interactions at High Energies, Fermilab, edited by T. B. W. Kirk and H. D. I. Abarbanel (Fermilab, Batavia, Illinois, 1980).

[c12] J. L. Basdevant, P. Chapelle, C. López and M. Sigelle, Nucl. Phys. B98, 285 (1975).

[c13] C. López, Phys. Rev. D 17, 2342 (1978).

[c14] B. Hyams et al., Nucl. Phys. B64, 134 (1973).

[c15] A full discussion of the π pi and F incompatibility shall be given elsewhere by one of us (J.A.C.).

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Hadronic contributions to the g-2 of the muon

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