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Top Quark Mass

  • Jonathan L. Rosner
Part of the NATO ASI Series book series (NSSB, volume 363)

Abstract

In the present article, based on a series of three lectures, we describe ways in which the large top quark mass influences a number of processes, and some ideas about how it might arise. After a brief introduction to the pattern of masses and couplings of quarks and leptons and an overview of the top quark’s properties, we discuss in Section 2 the role of the top quark in mixing processes, such as particle-antiparticle mixing in the neutral kaon and B meson systems, and in other flavor-changing charge-preserving processes. Section 3 is devoted to precision electroweak experiments and the impact upon their interpretation of the precise measurements of the top quark’s mass which have recently been achieved at Fermilab (Section 4). Some brief remarks about top quark production in electron-positron collisions occupy Section 5, while Section 6 contains various speculations about the source of the top quark’s mass. (See also Graham Ross’ lectures at this Institute [1].) Section 7 concludes.

Keywords

Higgs Boson High Energy Physics Grand Unify Theory Charmed Quark American Physical Society 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    G. Ross, lectures at this Institute.Google Scholar
  2. [2]
    T. J. LeCompte, Top decay physics at CDF and measurement of the CKM element V6, Fermilab report FERMILAB-CONF-96–021-E, Jan., 1996, presented at 2nd Rencontres du Vietnam, Physics at the Frontiers of the Standard Model, Ho Chi Minh City, Vietnam, 21 — 28 Oct., 1995.Google Scholar
  3. [3]
    N. Cabibbo, Phys. Rev. Lett. 10: 531 (1963).ADSCrossRefGoogle Scholar
  4. [4]
    M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49: 652 (1973).ADSCrossRefGoogle Scholar
  5. [5]
    J. L. Rosner, Present and future aspects of CP violation, Enrico Fermi Institute Report No. 95–36 [hep-ph/9506364], lectures given at the VIII J. A. Swieca Summer School, Particles and Fields,Rio de Janeiro, February, 1995, proceedings to be published by World Scientific.Google Scholar
  6. [6]
    S. L. Glashow, Nucl. Phys. 22: 579 (1961);CrossRefGoogle Scholar
  7. S. Weinberg, Phys. Rev. Lett. 19: 1264 (1967);ADSCrossRefGoogle Scholar
  8. A. Salam, in Proceedings of the Eighth Nobel Symposium, edited by N. Svartholm (Almqvist and Wiksell, Stockholm; Wiley, New York, 1978 ), p. 367.Google Scholar
  9. [7]
    LEP Electroweak Working Group, CERN report LEPEWWG/96–02, July 30, 1996, presented at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  10. [8]
    Y. Hara, Phys. Rev. 134: B701 (1964);ADSCrossRefGoogle Scholar
  11. Z. Maki and Y. Ohnuki, Prog. Theor. Phys. 32: 144 (1964);MathSciNetADSCrossRefGoogle Scholar
  12. B. J. Bjorken and S. L. Glashow, Phys. Lett. 11: 255 (1964).MathSciNetADSCrossRefGoogle Scholar
  13. [9]
    M. Gell-Mann and M. Lévy, Nuovo Cim. 19: 705 (1960).CrossRefGoogle Scholar
  14. [10]
    S. L. Glashow, J. Iliopoulos, and L. Maiani, Phys. Rev. D 2: 1285 (1970).ADSGoogle Scholar
  15. [11]
    C. Bouchiat, J. Iliopoulos, and Ph. Meyer, Phys. Lett. 38B: 519 (1972).CrossRefGoogle Scholar
  16. See also H. Georgi and S. L. Glashow, Phys. Rev. D 6: 429 (1972);ADSCrossRefGoogle Scholar
  17. D. J. Gross and R. Jackiw, ibid. 6: 477 (1972).Google Scholar
  18. [12]
    For more details see, e.g., V. L. Fitch and J. L. Rosner, Elementary particle physics in the second half of the twentieth century, in Twentieth Century Physics,edited by L. M. Brown, A. Pais, and B. Pippard (AIP/IOP, New York and Bristol, 1995), ch. 9.Google Scholar
  19. [13]
    W. Pauli, Zur iilteren und neueren Geschichte des Neutrinos, in Collected Scientific Papers, R. Kronig and V. F. Weisskopf, eds., Interscience, New York, 1964, v. 2, p. 1313.MATHGoogle Scholar
  20. [14]
    See, e.g., L. M. Brown, in Twentieth Century Physics,L. M. Brown, A. Pais, and B. Pippard, eds., AIP/IOP, New York and Bristol, 1995, ch. 5.Google Scholar
  21. [15]
    S. H. Neddermeyer and C. D. Anderson, Phys. Rev. 51: 884 (1937).ADSCrossRefGoogle Scholar
  22. See also J. C. Street and E. C. Stevenson, Phys. Rev. 51: 1005 (1937);Google Scholar
  23. Y. Nishina, M. Takeuchi, and T. Ichimaya, Phys. Rev. 52: 1198 (1937).ADSCrossRefGoogle Scholar
  24. G. Danby et al., Phys. Rev. Lett. 9:36 (1962).Google Scholar
  25. J. J. Aubert et al., Phys. Rev. Lett. 33:1404 (1974).Google Scholar
  26. [18]
    J.-E. Augustin et al., Phys. Rev. Lett. 33: 1406 (1974).ADSCrossRefGoogle Scholar
  27. E. G. Cazzoli et al., Phys. Rev. Lett. 34:1125 (1975);Google Scholar
  28. G. Goldhaber et al., Phys. Rev. Lett. 37: 255 (1976);ADSCrossRefGoogle Scholar
  29. I. Peruzzi et al., Phys. Rev. Lett. 37: 569 (1976).ADSCrossRefGoogle Scholar
  30. [20]
    M. Perl et al., Phys. Rev. Lett. 35: 1489 (1975);ADSCrossRefGoogle Scholar
  31. M. Perl et al., Phys. Lett. 63B: 466 (1976);Google Scholar
  32. M. Perl et al., Phys. Lett. 70B: 487 (1977).Google Scholar
  33. [21]
    H. Harari, in Proceedings of the 1975 International Symposium on Lepton and Photon Interactions at High Energies, Stanford University, Aug. 21–27, 1975, W. T. Kirk, ed., SLAC, Stanford, CA, (1975), p. 317.Google Scholar
  34. S. W. Herb et al., Phys. Rev. Lett. 39:252 (1977);Google Scholar
  35. W. R. Innes et al., Phys. Rev. Lett. 39:1240, 1640(E) (1977).Google Scholar
  36. [23]
    S. Behrends et al. (CLEO Collaboration), Phys. Rev. Lett. 50: 881 (1983).ADSCrossRefGoogle Scholar
  37. [24]
    F. Abe et al. (CDF Collaboration), Phys. Rev. Lett. 73: 225 (1994);ADSCrossRefGoogle Scholar
  38. F. Abe et al. Phys. Rev. D 50: 2966 (1995);Google Scholar
  39. F. Abe et al. Phys. Rev. Lett. 74: 2626 (1995);ADSCrossRefGoogle Scholar
  40. S. Abachi et al. (DO Collaboration), Phys. Rev. Lett. 74: 2632 (1995).ADSCrossRefGoogle Scholar
  41. Fermilab E-872, R. Ramieka, spokesperson. See B. Lundberg et al.,Measurement of r lepton production from the process yr + N —Fermilab proposal P-872, Jan., 1994.Google Scholar
  42. [26]
    P. Tipton, Plenary talk, XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996; CDF Collaboration, presented by R. Hughes, reports PA-05–052, PA05–053, and PA08–108; DO Collaboration, presented by A. Zieminski, reports PA05–027, PA05–028, and PA05–029.Google Scholar
  43. [27]
    M. Jeiabek, J. H. Kühn, and T. Teubner, Zeit. Phys. C 56: 653 (1992).Google Scholar
  44. [28]
    Mark III Collaboration, R. M. Baltrusaitis et al., Phys. Rev. Lett. 52: 2126 (1984).CrossRefGoogle Scholar
  45. [29]
    See, e.g., W. Kwong and J. L. Rosner, Phys. Rev. D 38: 279 (1988);ADSGoogle Scholar
  46. W. Buchmüller and S. Cooper, Upsilon spectroscopy, in High-Energy Electron-Positron Physics, A. Ali and P. Söding, eds., World Scientific, Singapore (1988), p. 412.Google Scholar
  47. [30]
    C. Quigg and J. L. Rosner, Phys. Lett. 71B: 153 (1977);Google Scholar
  48. C. Quigg and J. L. Rosner, Comments on Nucl. and Part. Phys. 8: 11 (1978);Google Scholar
  49. C. Quigg and J. L. Rosner, Phys. Rep. 56: 167 (1979).MathSciNetADSCrossRefGoogle Scholar
  50. [31]
    A. Martin, Phys. Lett. 93B: 338 (1980);Google Scholar
  51. A. Martin, Phys. Lett. 100B: 511 (1981).Google Scholar
  52. CLEO Collaboration, P. Avery et al., Phys. Rev. Lett. 75:4364 (1995);Google Scholar
  53. L. Gibbons et al., Phys. Rev. Lett. 77:810 (1996).Google Scholar
  54. [33]
    CLEO Collaboration, report PA01–078, presented by R. Kutschke at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996. We thank J. Yelton for communicating this result to us.Google Scholar
  55. [34]
    M. Neubert, lectures at this Institute. See also M. Neubert, CERN report CERNTH/96–55 [hep-ph/9604412], to be published in Int. J. Mod. Phys. A.Google Scholar
  56. [35]
    N. Gray, D. J. Broadhurst, W. Grafe, and K. Schilcher, Zeit. Phys. C 48:673 (1990), and references therein.Google Scholar
  57. [36]
    A. Ali and D. London, DESY report DESY 96–140 [hep-ph/9607392], presented at High Energy Physics International Euroconference on QCD (QCD 96), Montpellier, France, July 4–12, 1996.Google Scholar
  58. [37]
    L.-L. Chau and W.-Y. Keung, Phys. Rev. Lett. 53: 1802 (1984);ADSCrossRefGoogle Scholar
  59. H. Harari and M. Leurer, Phys. Lett. B 181: 123 (1986);MathSciNetGoogle Scholar
  60. J. D. Bjorken and I. Dunietz, Phys. Rev. D 36: 2109 (1987).ADSGoogle Scholar
  61. [38]
    L. Wolfenstein, Phys. Rev. Lett. 51: 1945 (1983).ADSCrossRefGoogle Scholar
  62. See, e.g., M. Bourquin et al., Zeit. Phys. C 21:27 (1983);Google Scholar
  63. H. Leutwyler and M. Roos, Zeit. Phys. C 25: 91 (1984);Google Scholar
  64. J. F. Donoghue, B. R. Holstein, and S. W. Klimt, Phys. Rev. D 35: 934 (1987);ADSCrossRefGoogle Scholar
  65. F. J. Gilman, K. Kleinknecht, and B. Renk, in Review of particle properties, Particle Data Group, Phys. Rev. D 54:94 (1996).Google Scholar
  66. [40]
    T. Browder and K. Honscheid, Prog. Nucl. Part. Phys. 35: 81 (1995).ADSCrossRefGoogle Scholar
  67. [41]
    L. Gibbons, Plenary talk, XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  68. [42]
    L.-L. Chau and W.-Y. Keung, Phys. Rev. Lett. 53: 1802 (1984);ADSCrossRefGoogle Scholar
  69. M. Gronau and J. Schechter, ibid. 54: 385 (1985);MathSciNetADSCrossRefGoogle Scholar
  70. M. Gronau, R. Johnson, and J. Schechter, Phys. Rev. D 32: 3062 (1985);CrossRefGoogle Scholar
  71. C. Jarlskog, in Physics at LEAR with Low Energy Antiprotons, proceedings of the workshop, Villars-sur-011on, Switzerland, 1987, edited by C. Amsler et al. ( Harwood, Chur, Switzerland, 1988 ), p. 571;Google Scholar
  72. J. D. Bjorken and I. Dunietz, Phys. Rev. D 36: 2109 (1987).ADSGoogle Scholar
  73. [43]
    Y. Nir and H. Quinn, Ann. Rev. Nucl. Part. Sci. 42: 211 (1992).ADSCrossRefGoogle Scholar
  74. [44]
    T. P. Cheng and L. F. Li, Gauge Theory of Elementary Particles (Oxford University Press, 1984 ).Google Scholar
  75. [45]
    J. L. Rosner, in Testing the Standard Model (Proceedings of the 1990 Theoretical Advanced Study Institute in Elementary Particle Physics), edited by M. Cvetié and P. Langacker (World Scientific, Singapore, 1991 ), p. 91.Google Scholar
  76. [46]
    T. Inami and C. S. Lim, Prog. Theor. Phys. 65:297 (1981); ibid. 65: 1772 (E) (1981).Google Scholar
  77. [47]
    Particle Data Group, Phys. Rev. D 54:1 (1996).Google Scholar
  78. [48]
    A. Abada et aL, Nucl. Phys. B376: 172 (1992).ADSCrossRefGoogle Scholar
  79. [49]
    A. Buras, M. Jamin, and P. H. Weisz, Nucl. Phys. B347: 491 (1990).ADSCrossRefGoogle Scholar
  80. UAl Collaboration, C. Albajar et al., Phys. Lett. B 186:237, 247 (1987); ibid. 197:565(E) (1987).Google Scholar
  81. [51]
    ARGUS Collaboration, H. Albrecht et aL, Phys. Lett. B 192: 245 (1987).Google Scholar
  82. [52]
    ALEPH Collaboration, D. Buskulic et aL, Phys. Lett. B 313: 498 (1993);Google Scholar
  83. DELPHI Collaboration, P. Abreu et al., Phys. Lett. B 338:409 (1994);Google Scholar
  84. OPAL Collaboration, R. Akers et al., Phys. Lett. B 327: 411 (1994);Google Scholar
  85. OPAL Collaboration, R. Akers et al., Phys. Lett. 336:585 (1994). For a compilation of the many new LEP results presented in 1996 see Ref. [41].Google Scholar
  86. [53]
    CDF Collaboration, F. Abe et aL, Fermilab report FERMILAB-CONF-95–231-E, July, 1995, contributed to LP95: Proceedings of the International Symposium on Lepton and Photon Interactions (IHEP), 10–15 August 1995, Beijing, People’s Republic of China, Z.-P. Zheng and H.-S. Chen, eds., World Scientific, Singapore, 1996; report PA08–032, presented by P. Sphicas at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  87. [54]
    SLD Collaboration, reports PA08–026A, PA08–026B, and PA08–027/028, presented by D. Su at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  88. [55]
    C. Zeitnitz, invited talk at the 4th International Workshop on B-Physics at Hadron Machines (BEAUTY 96), Rome, June 17–21, 1996, proceedings to be published in Nucl. Instr. Meth. A slightly different average was presented in Ref. [41]: band = 0.464 ± 0.017 ps-1.Google Scholar
  89. CERN WA75 Collaboration, S. Aoki et al., Prog. Theor. Phys. 89:131 (1993);Google Scholar
  90. CLEO Collaboration, D. Acosta et aL, Phys. Rev. D 49: 5690 (1994);Google Scholar
  91. F. Muheim and S. Stone, Phys. Rev. D 49: 3767 (1994);ADSGoogle Scholar
  92. BES Collaboration, J. Z. Bai et al., Phys. Rev. Lett. 74:4599 (1995);Google Scholar
  93. F. Muheim, parallel session on B physics, in The Albuquerque Meeting: DPF 94 (Division of Particles and Fields Meeting, American Physical Society, Albuquerque, NM, August 2–6, 1994 ), ed. by S. Seidel ( World Scientific, River Edge, NJ, 1995 );Google Scholar
  94. Fermilab E653 Collaboration, K. Kodama et al., Phys. Lett. B 382:299 (1996).Google Scholar
  95. ARGUS Collaboration, H. Albrecht et al., Phys. Lett. B 219:121 (1989);Google Scholar
  96. D. Bortoletto, Ph. D. Thesis, Syracuse University, 1989; D. Bortoletto and S. L. Stone, Phys. Rev. Lett. 65: 2951 (1990);Google Scholar
  97. CLEO Collaboration, D. Bortoletto et al., Phys. Rev. D 45:2212 (1992);Google Scholar
  98. J. L. Rosner, Phys. Rev. D 42:3732 (1990); in Research Directions for the Decade (Proceedings of the 1990 DPF Snowmass Workshop), edited by E. L. Berger ( World Scientific, Singapore, 1991 ), p. 255;Google Scholar
  99. M. Paulini et al., in Proceedings of the Joint International Symposium and Europhysics Conference on High Energy Physics,S. Hegarty, K. Potter, and E. Quercigh, eds., World Scientific, Singapore (1992), p. 592;Google Scholar
  100. CLEO Collaboration, A. Bean et aL, Phys. Rev. Lett. 70: 2681 (1993).CrossRefGoogle Scholar
  101. [58]
    G. Martinelli, Plenary talk, XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  102. Mark III Collaboration, J. Adler et al., Phys. Rev. Lett. 60:1375 (1988);Google Scholar
  103. Mark III Collaboration, J. Adler et al., Phys. Rev. Lett. 63:1658(E) (1989).Google Scholar
  104. [60]
    J. Z. Bai et al. (BEPC Collaboration), SLAC report SLAC-PUB-7147, 1996.Google Scholar
  105. J. Amundson et al., Phys. Rev. D 47:3059 (1993); J. L. Rosner, The Fermilab Meeting - DPF 92 (Division of Particles and Fields Meeting, American Physical Society, Fermilab, 10–14 November, 1992), ed. by C. H. Albright et al. (World Scientific, Singapore, 1993), p. 658.Google Scholar
  106. [62]
    See, e.g., A. Duncan et al., Phys. Rev. D 51: 5101 (1995);Google Scholar
  107. UKQCD Collaboration, C. R. Allton et aL, NucL Phys. B437: 641 (1995);CrossRefGoogle Scholar
  108. MILC Collaboration, C. Bernard et al.,report WASH-U-HEP-96–31, June, 1996 [hep-lat/9608092], presented at Lattice 96: 14th International Symposium on Lattice Field Theory, St. Louis, MO, 4–8 June 1996; G. Martinelli, Ref. [58].Google Scholar
  109. [63]
    B. Grinstein, Phys. Rev. Lett. 71: 3067 (1993).ADSCrossRefGoogle Scholar
  110. [64]
    J. H. Christenson, J. W. Cronin, V. L. Fitch, and R. Turlay, Phys. Rev. Lett. 13: 138 (1964).ADSCrossRefGoogle Scholar
  111. [65]
    CP Violation,edited by C. Jarlskog (World Scientific, Singapore, 1989).Google Scholar
  112. [66]
    M. Gell-Mann and A. Pais, Phys. Rev. 97: 1387 (1955).MathSciNetCrossRefGoogle Scholar
  113. [67]
    T. D. Lee, R. Oehme and C. N. Yang, Phys. Rev. 106: 340 (1957);MathSciNetADSMATHCrossRefGoogle Scholar
  114. B. L. Ioffe, L. B. Okun’ and A. P. Rudik, Zh. Eksp. Teor. Fix. 32:396 (1957) [Sov. Phys. — JETP 5:328 (1957)].Google Scholar
  115. [68]
    K. Lande, E. T. Booth, J. Impeduglia, and L. M. Lederman, Phys. Rev. 103: 1901 (1956).ADSCrossRefGoogle Scholar
  116. [69]
    L. Wolfenstein, Phys. Rev. Lett. 13: 562 (1964).ADSCrossRefGoogle Scholar
  117. [70]
    A. J. Buras, M. Jamin, and P. H. Weisz, Nucl. Phys. B347: 491 (1990);ADSCrossRefGoogle Scholar
  118. S. Herrlich and U. Nierste, Nucl. Phys. B419: 292 (1994);ADSCrossRefGoogle Scholar
  119. S. Herrlich and U. Nierste, Phys. Rev. D 52: 6505 (1995).ADSGoogle Scholar
  120. [71]
    C. Hamzaoui, J. L. Rosner, and A. I. Sanda, in Proceedings of the Workshop on High Sensitivity Beauty Physics at Fermilab,Fermilab, Nov. 11–14, 1987, edited by A. J. Slaughter, N. Lockyer, and M. Schmidt (Fermilab, Batavia, IL, 1988), p. 97; J. L. Rosner, A. I. Sanda, and M. P. Schmidt, ibid.,p. 165.Google Scholar
  121. [72]
    See, e.g., the following sources quoted by [36]: S. Sharpe, Nucl. Phys. B (Proc. Suppl.) 34: 403 (1994);ADSCrossRefGoogle Scholar
  122. J. Bijnens and J. Prades, Nucl. Phys. B444: 523 (1995);ADSCrossRefGoogle Scholar
  123. A. Soni, Brookhaven National Laboratory report BNL-62284 [heplat/9510036];Google Scholar
  124. JLQCD Collaboration, S. Aoki et al., Nucl. Phys. B (Proc. Suppl.) 47:465 (1996);Google Scholar
  125. APE Collaboration, M. Crisafulli et al., Phys. Lett. B 369:325 (1996). Our quoted error reflect a somewhat more generous spread in values obtained by different means.Google Scholar
  126. [73]
    For discussions with references to earlier literature see, e.g., I. I. Bigi and A. I. Sanda, Nucl. Phys. B281: 41 (1987);CrossRefGoogle Scholar
  127. I. Dunietz, Ann. Phys. (N.Y.) 184: 350 (1988);ADSCrossRefGoogle Scholar
  128. M. B. Wise, in Particles and Fields 3 (Proceedings of the 1988 Banff Summer Institute on Particles and Fields), edited by A. N. Kamal and F. C. Khanna (World Scientific, Singapore, 1989 ), p. 124;Google Scholar
  129. I. I. Bigi, V. A. Khoze, N. G. Uraltsev, and A. I. Sanda, in Ref. [65], p. 175;Google Scholar
  130. J. L. Rosner, in Testing the Standard Model (Proceedings of the 1990 Theoretical Advanced Study Institute in Elementary Particle Physics), edited by M. Cvetic and P. Langacker (World Scientific, Singapore, 1991 ), p. 91;Google Scholar
  131. Y. Nir and H. R. Quinn, Ann. Rev. Nucl. Part. Sci. 42: 211 (1992);ADSCrossRefGoogle Scholar
  132. B. Winstein and L. Wolfenstein, Rev. Mod. Phys. 65: 1113 (1993).ADSCrossRefGoogle Scholar
  133. [74]
    I. Dunietz and J. L. Rosner, Phys. Rev. D 34:1404 (1986); I. Dunietz, Ref. [73].Google Scholar
  134. [75]
    D. London and R. Peccei, Phys. Lett. B 223: 257 (1989);Google Scholar
  135. M. Gronau, Phys. Rev. Lett. 63: 1451 (1989);ADSCrossRefGoogle Scholar
  136. B. Grinstein, Phys. Lett. B 229: 280 (1989);Google Scholar
  137. M. Gronau, Phys. Lett. B 300: 163 (1993).Google Scholar
  138. [76]
    M. Gronau and D. London, Phys. Rev. Lett. 65: 3381 (1990).ADSCrossRefGoogle Scholar
  139. [77]
    ALEPH and DELPHI Collaborations, presented at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996; L. Gibbons, Ref. [41].Google Scholar
  140. I. I. Bigi et al., in B Decays,edited by S. Stone (World Scientific, Singapore, 1994), p. 132.Google Scholar
  141. [79]
    I. Dunietz, Phys. Rev. D 52: 3048 (1995).Google Scholar
  142. [80]
    T. E. Browder and S. Pakvasa, Phys. Rev. D 52: 3123 (1995).ADSGoogle Scholar
  143. [81]
    R. Aleksan, A. Le Yaouanc, L. Oliver, O. Pène, and J. C. Raynal, Phys. Lett. B 316: 567 (1993).Google Scholar
  144. [82]
    M. Beneke, G. Buchalla, and I. Dunietz, Phys. Rev. D 54:4419 (1996); M. Beneke, SLAC report SLAC-PUB-96–7258, presented at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  145. [83]
    A. S. Dighe, I. Dunietz, H. J. Lipkin, and J. L. Rosner, Phys. Lett. B 369:144 (1996). See also R. Fleischer and I. Dunietz, Univ. of Karlsruhe report TTP 9607 [hep-ph/9605220] (unpublished); A. Dighe, I. Dunietz, and R. Fleischer, in preparation.Google Scholar
  146. H. J. Lipkin, in Proceedings of the SLAC Workshop on Physics and Detector Issues for a High-Luminosity Asymmetric B Factory,edited by David Hitlin, published as SLAC, LBL and Caltech reports SLAC-373, LBL-30097 and CALT68–1697, 1990, p. 49; I. Dunietz et al., Phys. Rev. D 43:2193 (1991); I. Dunietz, Appendix in B Decays,edited by S. Stone (World Scientific, Singapore, 1994), p. 550.Google Scholar
  147. [85]
    CLEO Collaboration, CLEO-CONF-96–22, report PA05–074, presented by R. Kutschke at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  148. [86]
    J. L. Rosner, Phys. Rev. D 42: 3732 (1990).Google Scholar
  149. [87]
    L. D. Landau, Dokl. Akad. Nauk SSSR 60: 207 (1948);Google Scholar
  150. C. N. Yang, Phys. Rev. 77: 242, 722 (1950)ADSGoogle Scholar
  151. See also N. P. Chang and C. A. Nelson, Jr., Phys. Rev. Lett. 40: 1617 (1978);ADSCrossRefGoogle Scholar
  152. N. P. Chang and C. A. Nelson, Jr., Phys. Rev. D 20: 2923 (1979).ADSGoogle Scholar
  153. [88]
    J. Ellis, M. K. Gaillard, and D. V. Nanopoulos, Nucl. Phys. B100: 313 (1975);ADSCrossRefGoogle Scholar
  154. J. Ellis, M. K. Gaillard, and D. V. Nanopoulos, B109: 213 (1976);Google Scholar
  155. A. I. Vainshtein, V. I. Zakharov, and M. A. Shifman, Pis’ma Zh. Eksp. Teor. Fiz. 22:123 (1975) [JETP Lett. 22:55 (1975)];Google Scholar
  156. J. Ellis, M. K. Gaillard, and D. V. Nanopoulos, Zh. Eksp. Teor. Fiz. 72:1275 (1977) [Sov. Phys. — JETP 45:670 (1977)];Google Scholar
  157. J. Ellis, M. K. Gaillard, D. V. Nanopoulos, and S. Rudaz, Nucl. Phys. B131: 285 (1977);ADSCrossRefGoogle Scholar
  158. J. Ellis, M. K. Gaillard, D. V. Nanopoulos, and S. Rudaz, Nucl. Phys. B132: 541 (E) (1978).Google Scholar
  159. [89]
    M. B. Wise, in Particles and Fields.9 (Proceedings of the 1988 Banff Summer Institute on Particles and Fields), edited by A. N. Kamal and F. C. Khanna (World Scientific, Singapore, 1989 ), p. 124;Google Scholar
  160. J. M. Flynn and L. Randall, Phys. Lett. B 224: 221 (1989);Google Scholar
  161. G. Buchalla, A. J. Buras, and M. Harlander, Nucl. Phys. B337: 313 (1990);ADSCrossRefGoogle Scholar
  162. A. J. Buras, M. Jamin, and M. E. Lautenbacher, Nucl. Phys. B408: 209 (1993);ADSCrossRefGoogle Scholar
  163. M. Ciuchini, E. Franco, G. Martinelli, and L. Reina, Phys. Lett. B 301: 263 (1993);Google Scholar
  164. S. Bertolini, talk given at Workshop on K Physics, Orsay, France, 30 May — 4 June 1996, INFN (Trieste) report SISSA-110–96-EP [hep-ph/9607312];Google Scholar
  165. A. J. Buras, Plenary talk, XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  166. Fermilab E731 Collaboration, L. K. Gibbons et al., Phys. Rev. Lett. 70:1203 (1993).Google Scholar
  167. CERN NA31 Collaboration, G. D. Barr et al., Phys. Lett. B 317:233 (1993).Google Scholar
  168. [92]
    A. J. Buras and R. Fleischer, Phys. Lett. B 341: 379 (1995).Google Scholar
  169. CLEO Collaboration, M. Battle et al., Phys. Rev. Lett. 71:3922 (1993).Google Scholar
  170. [94]
    CLEO Collaboration, D. M. Asner et aL, Phys. Rev. D 53: 1039 (1996).CrossRefGoogle Scholar
  171. [95]
    CLEO Collaboration, P. Gaidarev, Bull. Am. Phys. Soc. 40: 923 (1995).Google Scholar
  172. [96]
    M. Gronau, J. L. Rosner, and D. London, Phys. Rev. Lett. 73: 21 (1994);ADSCrossRefGoogle Scholar
  173. O. F. Hernandez, D. London, M. Gronau, and J. L. Rosner, Phys. Lett. B 333: 500 (1994);Google Scholar
  174. M. Gronau, O. F. Hernândez, D. London, and J. L. Rosner, Phys. Rev. D 50: 4529 (1994).ADSGoogle Scholar
  175. [97]
    M. Gronau and J. L. Rosner, Phys. Rev. D 53: 2516 (1996).ADSGoogle Scholar
  176. [98]
    M. Gronau and J. L. Rosner, Phys. Rev. Lett. 76: 1200 (1996);ADSCrossRefGoogle Scholar
  177. A. S. Dighe, M. Gronau, and J. L. Rosner, Phys. Rev. D 54: 3309 (1996);ADSGoogle Scholar
  178. A. S. Dighe and J. L. Rosner, Phys. Rev. D 54: 4677 (1996).ADSGoogle Scholar
  179. [99]
    M. Gronau and J. L. Rosner, Phys. Lett. B 376: 205 (1996).Google Scholar
  180. [100]
    J. Silva and L. Wolfenstein, Phys. Rev. D 49:R1151 (1994); F. DeJongh and P. Sphicas, Phys. Rev. D 53: 4930 (1996).CrossRefGoogle Scholar
  181. [101]
    G. Buchalla and A. J. Buras, hep-ph/9607447. See also G. Buchalla and A. J. Buras, Nucl. Phys. B412: 106 (1994).ADSCrossRefGoogle Scholar
  182. [102]
    C. O. Dib, Ph.D. Thesis, Stanford University, 1990, SLAC Report SLAC-364, April, 1990 (unpublished).Google Scholar
  183. [103]
    B. Winstein and L. Wolfenstein, Rev. Mod. Phys. 65: 1113 (1993).ADSCrossRefGoogle Scholar
  184. Brookhaven E787 Collaboration, S. Adler et al., Phys. Rev. Lett. 76:1421 (1996).Google Scholar
  185. [105]
    M. K. Gaillard and B. W. Lee, Phys. Rev. D 10: 897 (1974).ADSCrossRefGoogle Scholar
  186. Fermilab E799 Collaboration, M. Weaver et al., Phys. Rev. Lett. 72:3758 (1994).Google Scholar
  187. [107]
    J. L. Rosner, Phys. Rev. D 53: 2724 (1996).Google Scholar
  188. [108]
    The earliest such proposals were made by H. Yukawa, Proc. Phys. Math. Soc. Jap. 17:48 (1935)Google Scholar
  189. O. Klein, in Les Nouvelles Théories de la Physique,Paris, Inst. de Coóperation Intellectuelle (1939), p. 81. For others (in the 1950’s) see Ref. [12].Google Scholar
  190. [109]
    R. P. Feynman and M. Gell-Mann, Phys. Rev. 109: 193 (1958);MathSciNetADSMATHCrossRefGoogle Scholar
  191. E. C. G. Sudarshan and R. E. Marshak, Phys. Rev. 109: 1860 (1958).CrossRefGoogle Scholar
  192. [110]
    S. Eidelman and F. Jegerlehner, Paul Scherrer Institute report PSI-PR-95–1, January, 1995; H. Burkhardt and B. Pietrzyk, Phys. Lett. B 356:398 (1995). Both sets of authors quote a 1 (Mz) = 128.89±0.09. Values differing only slightly from this are obtained by A. D. Martin and D. Zeppenfeld, Phys. Lett. B 345:558 (1995) [a -1 (Mz) = 128.99±0.06] and by M. Swartz, SLAC report SLAC-PUB-95–7001, Sept. 1995, submitted to Phys. Rev. D [a -1 (Mz) = 128.96 ± 0.06].Google Scholar
  193. [111]
    A. Sirlin, Phys. Rev. Lett. 72: 1786 (1994).ADSCrossRefGoogle Scholar
  194. [112]
    A. Pich, lectures at this Institute.Google Scholar
  195. [113]
    D. Treille, lectures at this Institute.Google Scholar
  196. [114]
    M. Veltman, Nucl. Phys. B123: 89 (1977).ADSCrossRefGoogle Scholar
  197. [115]
    M. Peskin and T. Takeuchi, Phys. Rev. Lett. 65: 964 (1990);ADSCrossRefGoogle Scholar
  198. M. Peskin and T. Takeuchi, Phys. Rev. D 46:381 (1992), and references therein.Google Scholar
  199. [116]
    G. DeGrassi, B. A. Kniehl, and A. Sirlin, Phys. Rev. D 48: 3963 (1993).CrossRefGoogle Scholar
  200. [117]
    P. Gambino and A. Sirlin, Phys. Rev. D 49: 1160 (1994).ADSGoogle Scholar
  201. [118]
    M. Veltman, Phys. Lett. B 91: 95 (1980).Google Scholar
  202. [119]
    D. C. Kennedy and P. G. Langacker, Phys. Rev. Lett. 65: 2967 (1990);ADSCrossRefGoogle Scholar
  203. D. C. Kennedy and P. G. Langacker, Phys. Rev. Lett. 66: 395 (E) (1991).Google Scholar
  204. F. J. Hasert et al., Phys. Lett. B 46:138 (1973); Nucl. Phys. B73:1 (1974);Google Scholar
  205. A. Benvenuti et al., Phys. Rev. Lett. 32:800 (1974);Google Scholar
  206. B. Aubert et al., Phys. Rev. Lett. 32: 1454 (1974).ADSCrossRefGoogle Scholar
  207. [121]
    C. H. Llewellyn Smith, Nucl. Phys. B228: 205 (1983).ADSCrossRefGoogle Scholar
  208. [122]
    CCFR Collaboration, FERMILAB-CONF-96/227-E, presented by K. S. McFarland at XXXI Rencontres de Moriond, March, 1996.Google Scholar
  209. CDHS Collaboration, H. Abramowicz et al., Phys. Rev. Lett. 57:298 (1986);Google Scholar
  210. A. Blondel et al., Zeit. Phys. C 45:361 (1990).Google Scholar
  211. CHARM Collaboration, J. V. Allaby et al., Phys. Lett. B 177:446 (1986);Google Scholar
  212. CHARM Collaboration, J. V. Allaby et al., Zeit. Phys. C 36:611 (1987).Google Scholar
  213. [125]
    A. Blondel, Plenary talk, XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  214. CDF Collaboration, F. Abe et al., Phys. Rev. Lett. 75:11 (1995);Google Scholar
  215. CDF Collaboration, F. Abe et al., Phys. Rev. D 52:4784 (1995).Google Scholar
  216. [127]
    DO Collaboration, report PA07–038, presented by A. Zieminski at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  217. [128]
    ALEPH, DELPHI, L3, and OPAL Collaborations, presented at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996. For a compilation of the results see Ref. [125].Google Scholar
  218. UA2 Collaboration, J. Alitti et al., Phys. Lett. B 276:354 (1992).Google Scholar
  219. [130]
    J. L. Rosner, M. P. Worah, and T. Takeuchi, Phys. Rev. D 49: 1363 (1994).ADSGoogle Scholar
  220. CDF Collaboration, F. Abe et al., Phys. Rev. Lett. 74:341 (1995).Google Scholar
  221. [132]
    SLD Collaboration, report PA07–063, presented by D. Su at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  222. [133]
    M. C. Noecker, B. P. Masterson, and C. E. Wieman, Phys. Rev. Lett. 61: 310 (1988).ADSCrossRefGoogle Scholar
  223. [134]
    V. A. Dzuba, V. V. Flambaum, and O. P. Sushkov, Phys. Lett. A 141: 147 (1989);Google Scholar
  224. S. A. Blundell, W. R. Johnson, and J. Sapirstein, Phys. Rev. Lett. 65: 1411 (1990);ADSCrossRefGoogle Scholar
  225. S. A. Blundell, W. R. Johnson, and J. Sapirstein, Phys. Rev. D 45: 1602 (1992).ADSCrossRefGoogle Scholar
  226. [135]
    W. Marciano and J. L. Rosner, Phys. Rev. Lett. 65:2963 (1990); ibid. 68: 898 (E) (1992).Google Scholar
  227. [136]
    J. L. Rosner, Phys. Rev. D 42: 3107 (1990).CrossRefGoogle Scholar
  228. [137]
    P. G. H. Sandars, J. Phys. B 23: L655 (1990).Google Scholar
  229. [138]
    P. A. Vetter, D. M. Meekhof, P. K. Majumder, S. K. Lamoreaux, and E. N. Fortson, Phys. Rev. Lett. 74: 2658 (1995).ADSCrossRefGoogle Scholar
  230. [139]
    N. H. Edwards, S. J. Phipp, P. E. G. Baird, and S. Nakayama, Phys. Rev. Lett. 74: 2654 (1995).ADSCrossRefGoogle Scholar
  231. [140]
    P. G. H. Sandars and B. W. Lynn, J. Phys. B 27: 1469 (1994).Google Scholar
  232. [141]
    V. A. Dzuba, V. V. Flambaum, P. G. Silvestrov, and O. P. Sushkov, J. Phys. B 20: 3297 (1987).Google Scholar
  233. [142]
    A. C. Hartley, E. Lindroth, and A. M. Mârtensson-Pendrill, J. Phys. B 23: 3417 (1990);Google Scholar
  234. A. C. Hartley and P. G. H. Sandars, J. Phys. B 23: 4197 (1990).MathSciNetGoogle Scholar
  235. [143]
    ALEPH Collaboration, reports PA10–014 and PA10–015, presented by J. Carr at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  236. [144]
    P. Langacker, M. Luo, and A. K. Mann, Rev. Mod. Phys. 64: 87 (1992).ADSCrossRefGoogle Scholar
  237. [145]
    J. Ellis, G. Fogli, and E. Lisi, CERN report CERN-TH/96–216 [hep-ph/9608239] (unpublished).Google Scholar
  238. [146]
    W. de Boer, A. Dabelstein, W. Hollik, W. Mösle, and U. Schwickerath, Karlsruhe Univ. report IEKP-KA/96–08 [hep-ph/9609209] (unpublished).Google Scholar
  239. [147]
    M. Schmelling, Plenary talk, XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  240. [148]
    See, e.g., R. S. Chivukula, in The Albuquerque Meeting: DPF 94 (Division of Particles and Fields Meeting, American Physical Society, Albuquerque, NM, August 2–6, 1994 ), ed. by S. Seidel ( World Scientific, River Edge, NJ, 1995 ), p. 273;Google Scholar
  241. T. Takeuchi, A. K. Grant, and J. L. Rosner, ibid., p. 1231;Google Scholar
  242. A. K. Grant, Phys. Rev. D 51: 207 (1995).Google Scholar
  243. [149]
    ALEPH, DELPHI, L3, and OPAL Collaborations, LEP Heavy Flavor Working Group, D. Abbaneo et al.,CERN report CERN-PPE/96–017, Feb. 1996, submitted to Nucl. Inst. Meth.Google Scholar
  244. [150]
    J. Steinberger, seminar at CERN, August 27, 1996; ALEPH Collaboration, A. O. Bazarko et al. [hep-ex/9609005], presented at The Minneapolis Meeting: DPF 96 (Division of Particles and Fields Meeting, American Physical Society, Minneapolis, MN, 10–15 August, 1996), to be published.Google Scholar
  245. [151]
    A. A. Akhundov, D. Yu. Bardin, and T. Riemann, Nucl. Phys. B276: 1 (1986);ADSCrossRefGoogle Scholar
  246. W. Beenaker and W. Hollik, Zeit. Phys. C 40: 141 (1988);Google Scholar
  247. J. Bernabeu, A. Pich, and A. Santamaria, Phys. Lett. B 200: 569 (1988);Google Scholar
  248. B. A. Kniehl and J. H. Kühn, Phys. Lett. B 224: 229 (1989);Google Scholar
  249. K. G. Chetyrkin and J. H. Kühn, Phys. Lett. B 248: 359 (1990);Google Scholar
  250. G. Altarelli and R. Barbieri, Phys. Lett. B 253: 161 (1991);Google Scholar
  251. K. G. Chetyrkin, J. H. Kühn, and A. Kwiatkowski, Phys. Lett. B 282: 221 (1992).Google Scholar
  252. For a recent discussion see A. K. Grant, Phys. Rev. D 51: 207 (1995).Google Scholar
  253. [152]
    SLD Collaboration, Measurement of Rb at SLD, report PA10–23, presented by D. Su at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  254. [153]
    E. Eichten, I. Hinchliffe, K. Lane, and C. Quigg, Rev. Mod. Phys. 56:579 (1984); ibid. 58: 1065 (E) (1986).Google Scholar
  255. [154]
    J. L. Rosner, Phys. Lett. 146B: 108 (1984).Google Scholar
  256. [155]
    J. Feltesse, lectures at this Institute.Google Scholar
  257. [156]
    CDF Collaboration, Fermilab reports FERMILAB-CONF-96–118-E, March, 1996 (presented by P. Azzi), and FERMILAB-CONF-96–146-E, June, 1996 (presented by A. Barbaro-Galtieri), at XXXI Rencontre de Moriond, QCD and High-Energy Hadronic Interactions, Les Arcs, France, 23–30 March 1996.Google Scholar
  258. E. Laenen et al., Phys. Lett. B 321:254 (1994).Google Scholar
  259. [158]
    R. K. Ellis, W. J. Stirling, and B. Webber, to be published by Cambridge University Press (1996). I thank R. K. Ellis for updating the plot of Fig. 21.Google Scholar
  260. [159]
    S. Catani, M. L. Mangano, P. Nason, and L. Trentadue, Phys. Lett. B 378: 329 (1996).Google Scholar
  261. [160]
    W. Kwong, Phys. Rev. D 43: 1488 (1991).Google Scholar
  262. [161]
    M. E. Peskin and M. J. Strassler, Phys. Rev. D 43: 1500 (1991).CrossRefGoogle Scholar
  263. [162]
    R. Gatto, G. Sartori, and M. Tonin, Phys. Lett. 28B: 128 (1968);CrossRefGoogle Scholar
  264. N. Cabibbo and L. Maiani, ibid. 28B: 131 (1968);MathSciNetGoogle Scholar
  265. R. J. Oakes, ibid. 29B: 683 (1969).Google Scholar
  266. [163]
    S. Weinberg, in A Festschrift for I. I. Rabi, Trans. N. Y. Acad. Sci. Ser. II 38 (1977);Google Scholar
  267. F. Wilczek and A. Zee, Phys. Lett. 70B: 418 (1977);Google Scholar
  268. F. Wilczek and A. Zee, Phys. Lett. 72B: 504 (E) (1978);Google Scholar
  269. H. Fritzsch, ibid. 70B: 436 (1977).Google Scholar
  270. [164]
    J. L. Rosner and M. P. Worah, Phys. Rev. D 46: 1131 (1992).ADSGoogle Scholar
  271. [165]
    H. Leutwyler, lectures at this Institute.Google Scholar
  272. [166]
    H. Fritzsch, Phys. Lett. 85B: 81 (1979);Google Scholar
  273. F. Wilczek and A. Zee, Phys. Lett. Nucl. Phys. B155: 189 (1979).Google Scholar
  274. H. Arason et al., Phys. Rev. D 46:3945 (1992);Google Scholar
  275. H. Arason, D. J. Castano, E. J. Piard, and P. Ramond, Phys. Rev. D 47: 232 (1992);Google Scholar
  276. P. Ramond, R. G. Roberts, and G. G. Ross, NucI. Phys. B406: 19 (1993);ADSCrossRefGoogle Scholar
  277. D. J. Castano, E. J. Piard, and P. Ramond, Phys. Rev. D 49: 4882 (1994);ADSGoogle Scholar
  278. T. Blazek, M. Carena, S. Raby, and C. Wagner, Ohio State Univ. report OHSTPY-HEP-T-96–014 [hep-ph/9608273], and references therein.Google Scholar
  279. [168]
    G. C. Branco, W. Grimus, and L. Lavoura, Phys. Lett. B 380: 119 (1996);Google Scholar
  280. G. C. Branco, D. Emmanuel-Costa, and J. I. Silva-Marcos, report [hep-ph/9608477] (unpublished).Google Scholar
  281. [169]
    H. Harari, H. Haut and J. Weyers, Phys. Lett. 78B: 459 (1978);Google Scholar
  282. Y. Nambu, in New Theories in Physics (23–27 May, 1988, Kazimierz, Poland), Z. Ajduk, S. Pokorski, and A. Trautman, eds., World Scientific, Singapore, 1989, p. 1; in Strong Coupling Gauge Theories and Beyond, Proceedings of the Second International Workshop, Nagoya, Japan, 1990, T. Muta and K. Yamawaki, eds., World Scientific, Singapore (1991), p. 3; Enrico Fermi Institute Report No. 92–03, in Proceedings of the Workshop on Electroweak Symmetry Breaking, Hiroshima, 1991, p. 1; Enrico Fermi Institute Report No. 92–37, Spontaneous symmetry breaking and the origin of mass, invited talk at Int. Conf. on Fluid Mech. and Theor. Phys. in honor of Professor Chou Pei-Yuan’s 90th Birthday, 1992;Google Scholar
  283. P. Kaus and S. Meshkov, Mod. Phys. Lett. A 3: 1251 (1988);Google Scholar
  284. P. Kaus and S. Meshkov, Mod. Phys. Lett. 4: 603 (E) (1989);Google Scholar
  285. P. Kaus and S. Meshkov, Mod. Phys. Lett. D 42: 1863 (1990).ADSCrossRefGoogle Scholar
  286. See also the second of Refs. [168].Google Scholar
  287. [170]
    K. Matumoto and T. Matsuoka, Prog. Theor. Phys. 83: 373 (1990);ADSCrossRefGoogle Scholar
  288. K. Matumoto and T. Matsuoka, Prog. Theor. Phys. 84: 53 (1990);ADSCrossRefGoogle Scholar
  289. K. Matumoto, ibid. 84: 185, 787 (1990);Google Scholar
  290. K. Matumoto and T. Matsuoka, Prog. Theor. Phys. 85:1149 (1991); second of Refs. [168].Google Scholar
  291. [171]
    J. L. Rosner, Prog. Theor. Phys. 66: 1421 (1981).Google Scholar
  292. [172]
    M. K. Gaillard, B. W. Lee, and J. L. Rosner, Rev. Mod. Phys. 47: 277 (1975).ADSCrossRefGoogle Scholar
  293. Collaboration, S. Paul et al., Nucl. Phys. A585:183c (1995). See, however, CLEO Collaboration, report PA01–079, presented by R. Kutschke at XXVIII International Conference on High Energy Physics, Warsaw, July 25–31, 1996.Google Scholar
  294. [174]
    A. De Rújula, H. Georgi, and S. L. Glashow, Phys. Rev. D 12: 147 (1975);CrossRefGoogle Scholar
  295. S. Gasiorowicz and J. L. Rosner, Am. J. Phys. 49: 954 (1981).ADSCrossRefGoogle Scholar
  296. M. Veltman, in Proc. Int. Symp. on Lepton and Photon Interactions at High Energies (Fermilab, August 23–29, 1979),T. B. W. Kirk and H. D. I. Abarbanel, eds., Fermilab, Batavia, IL (1979), p. 529; Acta Physica Polonica B12:437 (1981).Google Scholar
  297. [176]
    Y. Nambu, Ref. [169].Google Scholar
  298. [177]
    Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122: 345 (1961);ADSCrossRefGoogle Scholar
  299. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 124: 246 (1961).ADSCrossRefGoogle Scholar
  300. [178]
    W. A. Bardeen, C. T. Hill, and M. Lindner, Phys. Rev. D 41: 1647 (1990).ADSGoogle Scholar
  301. [179]
    J.-M. Gérard and J. Weyers, Phys. Lett. 146B: 411 (1984);Google Scholar
  302. J. P. Fatelo, J.-M. Gérard, T. Hambye, and J. Weyers, Phys. Rev. Lett. 74: 492 (1995);ADSCrossRefGoogle Scholar
  303. M. Chaichian, P. Chiappetta, J.-M. Gérard, R. Gonzalez Felipe, and J. Weyers, Phys. Lett. B 365:141 (1996), and references therein.Google Scholar
  304. [180]
    L. Hall, The heavy top quark and supersymmetry, lectures given at the 1995 SLAC Summer Institute, July 10–21, 1995, report LBL-38110 [hep-ph/9605258].Google Scholar
  305. [181]
    R. Oehme, Enrico Fermi Institute Report No. 95–47 [hep-th/9511006], and references therein.Google Scholar
  306. [182]
    W. Marciano, Phys. Rev. Lett. 62: 2793 (1989);ADSCrossRefGoogle Scholar
  307. W. Marciano, Phys. Rev. D 41: 219 (1990).Google Scholar
  308. [183]
    J. Kubo et al., Max-Planck-Institut report MPI-PHT-95–132 [hep-ph/9512400], and references therein.Google Scholar
  309. [184]
    L. Susskind, Phys. Rev. D 20: 2619 (1979).CrossRefGoogle Scholar
  310. [185]
    S. Weinberg, Phys. Rev. D 13: 974 (1976);Google Scholar
  311. S. Weinberg, Phys. Rev. 19: 1277 (1979).ADSCrossRefGoogle Scholar
  312. [186]
    For a review see E. Farhi and L. Susskind, Phys. Rep. 74: 277 (1981).ADSCrossRefGoogle Scholar
  313. [187]
    M. Gell-Mann, P. Ramond, and R. Slansky, in Supergravity, edited by P. van Nieuwenhuizen and D. Z. Freedman ( North-Holland, Amsterdam, 1979 ), p. 315;Google Scholar
  314. T. Yanagida, in Proc. Workshop on Unified Theory and Baryon Number in the Universe, edited by O. Sawada and A. Sugamoto (KEK Report No. 79–18, Tsukuba, Japan, 1979 ).Google Scholar
  315. [188]
    H. Georgi and S. L. Glashow, Phys. Rev. Lett. 32: 438 (1974).ADSCrossRefGoogle Scholar
  316. [189]
    H. Georgi in Proceedings of the 1974 Williamsburg DPF Meeting, ed. by C. E. Carlson ( New York, AIP, 1975 ) p. 575;Google Scholar
  317. H. Fritzsch and P. Minkowski, Ann. Phys. (N.Y.) 93: 193 (1975).MathSciNetADSCrossRefGoogle Scholar
  318. [190]
    F. Giirsey, P. Ramond, and P. Sikivie, Phys. Lett. 60B: 177 (1976).Google Scholar
  319. [191]
    E. Witten, Nucl. Phys. B258: 75 (1985);MathSciNetADSCrossRefGoogle Scholar
  320. E. Cohen, J. Ellis, K. Enqvist, and D. V. Nanopoulos, Phys. Lett. 165B: 76 (1985);Google Scholar
  321. J. L. Rosner, Comments on Nucl. and Part. Phys. 15: 195 (1986).ADSGoogle Scholar
  322. [192] For a review of E6 phenomenology in the context of superstring theories see J. L. Hewett and T. G. Rizzo, Phys. Rep. 183:193 (1989).
    More recent discussions of extended gauge structures motivated by E6 include those by P. Langacker and M. Luo, Phys. Rev. D 45: 278 (1992);Google Scholar
  323. P. Langacker, in Precision Tests of the Standard Model, edited by P. Langacker ( World Scientific, Singapore, 1995 ), p. 883;Google Scholar
  324. M. Cvetié and S. Godfrey, in Electro-weak Symmetry Breaking and Beyond the Standard Model,edited by T. Barklow, S. Dawson, H. Haber, and J. Siegrist (World Scientific, Singapore, 1995), and references therein;Google Scholar
  325. M. Cvetic and P. Langacker, Phys. Rev. D 54: 3570 (1996).MathSciNetADSGoogle Scholar
  326. [193]
    R. Slansky, Phys. Rep. 79: 1 (1981).MathSciNetADSCrossRefGoogle Scholar
  327. [194]
    See, e.g., S. M. Barr, Phys. Lett. 112B: 219 (1982);Google Scholar
  328. J. Ellis, J. L. Lopez, and D. V. Nanopoulos, Phys. Lett. B 371: 65 (1996);Google Scholar
  329. J. L. Lopez, D. V. Nanopoulos, and A. Zichichi, Phys. Rev. D 53:5253 (1996); and references therein.Google Scholar
  330. [195]
    J. L. Rosner, CERN report CERN-TH/96–209, hep-ph/9607467, submitted to Phys. Rev. D.Google Scholar
  331. [196]
    P. Langacker and J. Erler, in Ref. [47], p. 103.Google Scholar
  332. [197]
    R. W. Robinett and J. L. Rosner, Phys. Rev. D 26: 2396 (1982);ADSGoogle Scholar
  333. P. G. Langacker, R. W. Robinett, and J. L. Rosner, Phys. Rev. D 30: 1470 (1984).ADSCrossRefGoogle Scholar
  334. CDF Collaboration, F. Abe et al., Phys. Rev. D 51:949 (1995);Google Scholar
  335. T. Kamon, Fermilab report FERMILAB-CONF-96–106-E [hep-ex/9605006], presented at XXXI Rencontre de Moriond: QCD and High-energy Hadronic Interactions, 23 — 30 March, 1996;Google Scholar
  336. CDF Collaboration, M. K. Pillai, E Hayashi, K. Maeshima, C. Grosso-Pilcher, P. de Barbaro, A. Bodek, B. Kim, and W. Sakumoto, report hep-ex/9608006, August, 1996, presented at The Minneapolis Meeting: DPF 96 (Division of Particles and Fields Meeting, American Physical Society, Minneapolis, MN, 10–15 August, 1996), to be published.Google Scholar
  337. CDF Collaboration, F. Abe et al., Phys. Rev. Lett. 77:2616 (1996).Google Scholar
  338. [200]
    J. L. Rosner, Phys. Rev. D 54: 1078 (1996).Google Scholar
  339. [201]
    CDF Collaboration, F. Abe et al., presented by S. Park, in Proceedings of the 10th Topical Workshop on Proton-Antiproton Collider Physics, Fermilab, May 9–13, 1995, AIP Conference Proceedings 357, edited by R. Raja and J. Yoh, ( AIP, Woodbury, NY, 1996 ), p. 62.Google Scholar
  340. [202]
    S. Ambrosanio, G. L. Kane, G. D. Kribs, S. P. Martin, and S. Mrenna, Phys. Rev. Lett. 76: 3498 (1996);ADSCrossRefGoogle Scholar
  341. Univ. of Michigan reports hep-ph/9605398 and 9607414 (unpublished);Google Scholar
  342. S. Dimopoulos, M. Dine, S. Raby, and S. Thomas, Phys. Rev. Lett. 76: 3494 (1996);ADSCrossRefGoogle Scholar
  343. S. Dimopoulos, S. Thomas, and J. D. Wells, Phys. Rev. D 54: 3283 (1996);ADSGoogle Scholar
  344. S. Dimopoulos, M. Dine, S. Raby, S. Thomas, and J. D. Wells, SLAC-PUB-7236 [hep-ph/9607450] (unpublished);Google Scholar
  345. J. L. Lopez and D. V. Nanopoulos, Rice University reports DOE/ER/40717–29 [hep-ph/9607220] and DOE/ER/40717–32 [hep-ph/9608275] (unpublished);Google Scholar
  346. K. S. Babu, C. Kolda, and F. Wilczek, Institute for Advanced Study report IASSNS-HEP-96/55 [hepph/9605408]; J. Hisano, K. Tobe, and T. Yanagida, Univ. of Tokyo report UT-754 [hep-ph/9607234] (unpublished).Google Scholar
  347. [203]
    G. Bhattacharyya and R. N. Mohapatra, Phys. Rev. D 54: 4204 (1996).ADSCrossRefGoogle Scholar
  348. [204]
    D. London and J. L. Rosner, Phys. Rev. D 34: 1530 (1986).ADSGoogle Scholar
  349. [205]
    D. Toback, Fermilab report FERMILAB-CONF-96/240-E, August 1996, presented for the CDF Collaboration at The Minneapolis Meeting: DPF 96 (Division of Particles and Fields Meeting, American Physical Society, Minneapolis, MN, 10–15 August, 1996), to be published.Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Jonathan L. Rosner
    • 1
  1. 1.Enrico Fermi Institute and Department of PhysicsUniversity of ChicagoChicagoUSA

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