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The SU(2) L × U(1) Model

  • Chapter
Unification and Supersymmetry

Abstract

In this section we will apply the ideas of spontaneously broken gauge theories to construct the first successful model of electro-weak interaction of quarks and leptons. As we discussed in the Introduction the observed universality of the four-Fermi coupling of weak-decay processes suggests the existence of a hidden symmetry of weak interactions, and the symmetry manifests itself not through the existence of degenerate multiplets but through broken local symmetries. The SU(2) L × U(1) model of Glashow, Weinberg, and Salam [1] provides a realization of this idea in the framework of a renormalizable field theory, and the recent discovery of W ±- and Z-bosons in the proton-antiproton collider experiments [2] has proved the correctness of these ideas and given a boost to the study of spontaneously broken non-abelian gauge theories as the way to probe further into the structure of quark-lepton interactions. This will be explored in the subsequent sections.

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References

  1. S. L. Glashow, Nucl. Phys. 22, 579 (1961);

    Article  Google Scholar 

  2. A. Salam and J. C. Ward, Phys. Lett. 13, 168 (1964);

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967);

    Article  ADS  Google Scholar 

  4. A. Salam, in Elementary Particle Theory (edited by N. Svartholm ), Almquist and Forlag, Stockholm, 1968;

    Google Scholar 

  5. For an excellent review, see

    Google Scholar 

  6. E. S. Abers and B. W. Lee, Phys. Rep. 9C, 1 (1973).

    Article  ADS  Google Scholar 

  7. UA1 Collaboration, G. Arnison et al., Phys. Lett. 122B 103 (1983);

    Google Scholar 

  8. UA2 Collaboration, M. Banner et al., Phys. Lett. 122B 476 (1983).

    Google Scholar 

  9. J. E. Kim, P. Langacker, M. Levine, and H. H. Williams, Rev. Mod. Phys. 53, 211 (1980).

    Article  ADS  Google Scholar 

  10. See, for instance

    Google Scholar 

  11. M. Jonker et al. Phys. Lett. 99B, 265 (1981).

    Google Scholar 

  12. B. Kayser, E. Fishbach, S. P. Rosen, and H. Spivack, Phys. Rec. D20, 87 (1979).

    ADS  Google Scholar 

  13. C. Y. Prescott et al., Phys. Lett. 77B 347 (1978).

    Google Scholar 

  14. P. Bucksbaum, E. Commins, and L. Hunter, Phys. Rev. Lett. 46, 640 (1981);

    Article  ADS  Google Scholar 

  15. L. M. Barkov, M. Zolotorev, and I. Khriplovich, Soy. Phys. Usp. 23, 713 (1980);

    Article  ADS  Google Scholar 

  16. M. A. Bouchiat et al., Phys. Lett. 117B, 358 (1982);

    Google Scholar 

  17. J. Hollister et al., Phys. Lett. 46 643 (1981).

    Google Scholar 

  18. a] For a review, see

    Google Scholar 

  19. Albrecht Bohm, Proceedings of the SLAC Summer Institute (edited by M. Zipf et al.),Stanford, 1983.

    Google Scholar 

  20. W. J. Marciano and A. Sirlin, Phys. Rev. D29, 945 (1984);

    Article  ADS  Google Scholar 

  21. M. Böhm, W. Hollik, and H. Spiesberger, Fortsch. Phys. 34, 687 (1986);

    Article  ADS  Google Scholar 

  22. D. Kennedy and B. W. Lynn, Nucl. Phys. B322, 1 (1989).

    Article  ADS  Google Scholar 

  23. a] For an incomplete list of papers on radiative corrections in gauge theories, see

    Google Scholar 

  24. K. I. Aoki, Z. Hioki, R. Kawabe, M. Konuma, and T. Muta, Prog. Theor. Phys. Suppl. 73, 1 (1982);

    Google Scholar 

  25. S. Sakakibara, Proceedings of the Topical Conference on Radiative Corrections in SU(2) L x U(1) Theories, Trieste, 1983;

    Google Scholar 

  26. For other related work on radiative corrections in SU(2) L x U(1) theories, see

    Google Scholar 

  27. W. J. Marciano and A. Sirlin, Phys. Rev. D22, 2695 (1980);

    ADS  Google Scholar 

  28. A. Sirlin and W. J. Marciano, Nucl. Phys. B189, 442 (1981);

    Article  ADS  Google Scholar 

  29. F. Antonelli, M. Consoli, and G. Corbo, Phys. Lett. 91B, 90 (1980);

    Google Scholar 

  30. C. Llewellynsmith and J. Wheater, Phys. Lett. 105B, 486 (1981);

    Google Scholar 

  31. J. Wheater and C. Llewellynsmith, Nucl. Phys. B208, 27 (1982);

    Article  ADS  Google Scholar 

  32. S. Sakakibara, Phys. Rev. D24, 1149 (1981);

    ADS  Google Scholar 

  33. M. Veltman, Phys. Lett. 91B, 95 (1980);

    Google Scholar 

  34. R. N. Mohapatra and G. Senjanovic, Phys. Rev. D19, 2165 (1979);

    ADS  Google Scholar 

  35. M. J. Musolf and B. Holstein, Phys. Rev. Lett. 65 (1990).

    Google Scholar 

  36. A. Sirlin and W. Marciano, Nucl. Phys. B189, 442 (1981);

    Article  ADS  Google Scholar 

  37. C. Llewellynsmith and J. Wheater, Phys. Lett. 105B, 486 (1981).

    Google Scholar 

  38. G. Arnison et al., Phys. Lett. 126B 398 (1983);

    Google Scholar 

  39. P. Bagnaia et al., Phys. Lett. 129B 130 (1983);

    Google Scholar 

  40. G. Arnison et al., Phys. Lett. 129B 273 (1983).

    Google Scholar 

  41. L. DiLella, Lecture Notes, CERN (1985), unpublished.

    Google Scholar 

  42. W. Marciano, Talk Presented at Proton—Antiproton Collider Physics, Switzerland, 1984;

    Google Scholar 

  43. W. Marcian and Z. Parsa, Proceedings of the 1982 DPE Summer Study, 1982.

    Google Scholar 

  44. S. L. Glashow, J. Illiopoulos, and L. Mariani, Phys. Rev. D2, 1285 (1970).

    ADS  Google Scholar 

  45. M. K. Gaillard and B. W. Lee, Phys. Rev. D10, 897 (1974).

    Article  ADS  Google Scholar 

  46. B. R. Martin, E. de Rafael, and J. Smith, Phys. Rev. D1 (1970).

    Google Scholar 

  47. R. N. Mohapatra, J. Subbarao, and R. E. Marshak, Phys. Rev. 171, 1502 (1968).

    Article  ADS  Google Scholar 

  48. S. Weinberg, Phys. Rev. Lett. 36, 294 (1976);

    Article  ADS  Google Scholar 

  49. A. Linde, JETP Lett. 23, 73 (1976).

    ADS  Google Scholar 

  50. S. Coleman and E. Weinberg, Phys. Rev. D7, 1888 (1973).

    ADS  Google Scholar 

  51. D. A. Dicus and V. S. Mathur, Phys. Rev. D7, 3111 (1973);

    ADS  Google Scholar 

  52. B. W. Lee, C. Quigg, and H. Thacker, Phys. Rev. D16, 1519 (1977);

    ADS  Google Scholar 

  53. M. Veltman, Acta Phys. Polon. B8, 475 (1977).

    Google Scholar 

  54. T. Rizzo, Phys. Rev. D22, 722 (1980).

    MathSciNet  ADS  Google Scholar 

  55. H. Georgi, S. L. Glashow, M. Machachek, and D. Nanopoulos, Phys. Rev. Lett. 40, 692 (1978);

    Article  ADS  Google Scholar 

  56. See also H. Gordon, W. Marciano, F. E. Paige, P. Grannis, S. Naculich, and H. H. Williams, Proceedings of the 1982 DPF Summer Study on Elementary Particle Physics, Snowmass, 1982, p. 161.

    Google Scholar 

  57. See review talk by A. Jawahery, Int. Conference on High Energy Physics,1990, Singapore.

    Google Scholar 

  58. L. Hall and M. Wise, Nucl. Phys. B187, 397 (1981);

    Article  ADS  Google Scholar 

  59. M. Barnett, G. Senjanovic, and D. Wyler, ITP Santa Barbara preprint, (1984);

    Google Scholar 

  60. J. M. Frere, M. Gavela, and J. Varmaseren, Phys. Lett. 125, 275 (1983).

    Google Scholar 

  61. For recent reviews and references for Higgs boson effects, see Higgs Hunters’ Guide by H. Haber, J. Gunion, G. Kane, and S. Dawson (to be published).

    Google Scholar 

  62. M. Sher, Phys. Rep. 179, 274 (1989).

    Article  ADS  Google Scholar 

  63. N. G. Deshpande, Oregon Preprint (1981);

    Google Scholar 

  64. R. Foot, G. C. Joshi, H. Lew, and R. Volkas, Mod. Phys. Lett. A5, 95 (1990).

    Article  ADS  Google Scholar 

  65. K. S. Babu and R. N. Mohapatra, Phys. Rev. Lett, 63, 938 (1989).

    Article  ADS  Google Scholar 

  66. a] For further discussion of change quantization from anomaly constraints, see

    Google Scholar 

  67. C. Geng and R. Marshak, Phys. Rev. D13, 693 (1989);

    Google Scholar 

  68. P. Ramond, J. Minahan, and R. Warner, Phys. Rev. D41, 715 (1990);

    Google Scholar 

  69. S. Rudaz, Phys. Rev. D41, 2619 (1990);

    ADS  Google Scholar 

  70. E. Golowich and P. Pal. Phys. Rev. D41, 3537 (1990).

    ADS  Google Scholar 

  71. S. Weinberg, Phys. Rev. Lett. 43, 1566 (1979);

    Article  ADS  Google Scholar 

  72. F. Wilczek and A. Zee, Phys. Rev. Lett. 43, 1571 (1979);

    Article  ADS  Google Scholar 

  73. A. H. Weldon and A. Zee, Nucl. Phys. B173, 269 (1980);

    Article  ADS  Google Scholar 

  74. R. N. Mohapatra, Proceedings of the First Workshop on Grand Unification (edited by P. Frampton, H. Georgi, and S. L. Glashow ), Math Sci. Press, Brookline, MA, 1980.

    Google Scholar 

  75. For excellent recent reviews, see

    Google Scholar 

  76. J. D. Vergados, Phys. Rep. (1986) (to appear).

    Google Scholar 

  77. G. Costa and M. Zwirner, Rev. Nuovo. Cim. (1886) (to appear).

    Google Scholar 

  78. C. Burges and H. Schnitzer, Nucl. Phys. B228, 464 (1983).

    Article  ADS  Google Scholar 

  79. M. K. Gaillard, Proceedings of the Workshop on Intense Medium Energy Sources of Strangeness (edited by T. Goldman, H. Haber, and H. F. Sadrozinski ), ( AIP ), New York 1983, p. 54.

    Google Scholar 

  80. The latest experimental situation in weak interaction has recently been summarized in

    Google Scholar 

  81. G. Barbiellini and C. Santoni, Rev. Nuovo Cim. (1986) (to appear).

    Google Scholar 

  82. Particle Data Group, Rev. Mod. Phys. 56, S1 (1984).

    Article  ADS  Google Scholar 

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Mohapatra, R.N. (1992). The SU(2) L × U(1) Model. In: Unification and Supersymmetry. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4373-9_3

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  • DOI: https://doi.org/10.1007/978-1-4757-4373-9_3

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