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Origin of the Weak-Interaction Angle. II
Phys. Rev. D 1, 707 – Published 15 January, 1970
DOI: https://doi.org/10.1103/PhysRevD.1.707
Abstract
We present a theory of the origin of the weak-interaction angle , based on a self-consistency condition linking weak, strong, and electromagnetic symmetry-breaking effects. The value of is related to the observed pattern of breaking of , and depends upon the value of a new parameter , which gives the strength of the weak corrections to strong processes. A characteristic result of the theory is the prediction of a nonelectromagnetic isospin breaking. This solves the puzzle and accounts for the observed deviation from the Dashen sum rule: . Although we are not able to give a theoretical evaluation of in a realistic model of weak interactions, a phenomenological determination of is proposed, based on the observed isospin-breaking mass splittings among pseudoscalar mesons. In this way we get the prediction , which is in good agreement with the experimental value.
References (26)
- N. Cabibbo and L. Maiani, Phys. Letters 28B, 131 (1968)
- N. Cabibbo, in Hadrons and Their Interactions, edited by A. Zichichi (Academic Press Inc., New York, 1968) N. Cabibbo and G. De Franceschi, in Proceedings of the Eighth Nobel Symposium on Elementary Particles Theory, Aspenäsgärden, 1968 (to be published)
- L. Michel and L. Radicati, in Proceedings of the Fifth Coral Gables Conference on Symmetry Principles at High Energy, edited by A. Pearlmutter, C. A. Hurst, and B. Kursunoglu (W. H. Freeman and Co., San Francisco, 1968)
- T. D. Lee, Nuovo Cimento 59A, 579 (1969)
- S. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)
- M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)
- S. Adler [Institute for the Advanced Studies, Princeton, report (unpublished)]
- D. G. Sutherland, Phys. Letters 23, 384 (1966)
- R. Dashen, Phys. Rev. 183, 1245 (1969)
- M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960)
- J. Goldstone, A. Salam, and S. Weinberg, Phys. Rev. 127, 965 (1962)
- S. Coleman, J. Wess, and B. Zumino, Phys. Rev. 177, 2239 (1969)
- S. Coleman, in Hadrons and their Interactions, edited by A. Zichichi (Academic Press Inc., New York, 1968)
- N. Cabibbo, R. Gatto, and C. Zemach, Nuovo Cimento 16, 168 (1960)
- [13]
- R. E. Cutkosky, in Particle Symmetries, edited by M. Chrétien and S. Deser (Gordon and Breach Science Publishers, Inc., New York, 1966)
- Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961) ibid.124, 246 (1961) J. Goldstone, A. Salam, and S. Weinberg, quoted in [11]
- R. Gatto, G. Sartori, and M. Tonin, Phys. Letters 28B, 128 (1968)
Omitted endnote
- N. Cabibbo, R. Gatto and C. Zemach, quoted in [14]
- E. C. G. Stückelberg, Helv. Phys. Acta 11, 225 (1938) ibid.11, 299 (1938)
Omitted endnote
- S. Coleman and S. L. Glashow, Phys. Rev. 134, B671 (1964) R. Socolow, ibid. 148, B1221 (1965)
Omitted endnote
- D. G. Sutherland, Nucl. Phys. B2, 433 (1967)
- Y. T. Chiu, I. Schechter, and Y. Ueda, Phys. Rev. 161, 1612 (1967)