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N=1 Supergravity unified theories and their experimental signatures

  • Pran Nath
  • R. Arnowitt
  • A. H. Chamseddine
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 208)

Abstract

A review is given of the recent developments of the N=l Supergravity unified theories. The first part of these lectures contains the underlying formalism while the second part contains a discussion of the phenomenological consequences of the theory. The lectures begin with a brief introduction to the supergravity-matter couplings and a deduction of the Lagrangian which couples an arbitrary number of chiral multiplets and a vector multiplet to supergravity. This is followed by a discussion of the phenomena of gravity induced symmetry breaking via the super Higgs effect. The effective low energy theory that arises after elimination of the super Higgs and heavy fields is exhibited. Generation of the weak scale in the theory at the tree level (T.B. models) or through renormalization group effects (R.G. models) is discussed. Gauge hierarchy of the Supergravity unified theory at the tree level and at the one loop level is discussed. Next a model independent formulation of the low energy theory is given which can accommodate a wide variety of N=1 Supergravity models. Particle content of this model independent theory is exhibited by diagonalization of the mass matrices in the supersymmetric sectors of the gauge bosons and Higgs bosons and in the squark and slepton sectors. The interaction vertices in terms of the physical fields are exhibited. Experimental signatures of N=l Supergravity unified theory are investigated in a variety of phenomena. These include supersymmetric decays of the W+- and Z0 and possible experimental signals for the production of Winos, Zinos, squarks and sleptons at energies currently avaialble at the PP Collider at CERN or in future experiments at SLC, LEP, Tevatron or SSC. Events with special signatures in the W and Z decays are found to be UFO events, lepton-jet events and certain exotic events. Other signatures of the theory are supersymmetric electro-weak effects on gu-2 which are generally found to be larger than the electro-weak contributions of the standard Weinberg-Salam theory. Supersymmetric corrections to the p parameter, sin 20W and to MW and MZ masses are also discussed.

Keywords

Gauge Group Chiral Multiplet Gaugino Masse Weak Scale Gravitino Mass 
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References

  1. (1).
    For previous reviews of Supergravity unified theory see P. Nath, R. Arnowitt and A.H. Chamseddine, “Applied N=1 Supergravity,” NUB #2613, Lectures at the 1983 Summer Workshop on Particle Physics, Trieste. J. Ellis, in International Symposium on Lepton and Phôton Interactions, Cornell 1983. TH. 3718-CERN. H.P. Nilles, “Supersymmetry, Supergravity and Particle Physics,” UGVA-DPT 1983/ 12–412. For a review of Supersymmetry and Supergravity see A. Salam and J. Strathdee, Fortschr. der Phys. 26, 57 (1978). P. Fayet and S. Ferrara, Phys. Rep. 32C, 249 (1977). P. van Nieuwenhuizen, Phys. Reports 68(4), 1981. J. Bagger and J. Wess, Supersymmetry and Supergravity (Princeton University Press, Princeton, NJ, 1983). J. Gates, M. Grisaru, H. Rocek and W. Siegel, Superspace (Benjamin, Reading, Mass., 1983).Google Scholar
  2. (2).
    A.H. Chamseddine, R. Arnowitt and P. Nath, Phys. Rev. Lett. 49 (1982) 970.Google Scholar
  3. (3).
    P. Nath, R. Arnowitt and A.H. Chamseddine, Phys. Lett. 121B (1983) 33.Google Scholar
  4. (4).
    R. Arnowitt, A.H. Chamseddine and P. Nath, Phys. Lett. 120B (1983) 145.Google Scholar
  5. (5).
    R. Barbieri, S. Ferrara and A. Savoy, Phys. Lett. 119B (1982) 343.Google Scholar
  6. (6).
    L.E. Ibáñez, Phys. Lett. 118B (1982) 73; L.E. Ibáñez, Universidad Autonoma de Madrid Preprint FTUAM/82-8 (1982); L.E. Ibáñez and C. Lopez, Phys. Lett. 126B (1983) 54.Google Scholar
  7. (7).
    J. Ellis, D.V. Nanopoulos and K. Tamvakis, Phys. Lett. 121B (1983) 123.Google Scholar
  8. (8).
    L. Alvarez-Gaumé, J. Polchinski and H.B. Wise, Nucl. Phys. B221 (1983) 495.Google Scholar
  9. (9).
    S. Ferrara, D.V. Nanopoulos and C.A. Savoy, Phys. Lett. 123B (1983) 214.Google Scholar
  10. (10).
    J. Ellis, J. Hagelin, D.V. Nanopoulos and K. Tamvakis, Phys. Lett. 125B (1983) 275.Google Scholar
  11. (11).
    S. Weinberg, Phys. Rev. Lett. 50 (1983) 387.Google Scholar
  12. (12).
    R. Arnowitt, A.H. Chamseddine and P. Nath, Phys. Rev. Lett. 50 (1983) 232.Google Scholar
  13. (13).
    M.K. Gaillard, AIP Conf. Proc. No. 93 (R.S. Panvini, M.S. Alam, and S.E. Csorna, ed. AIP N.Y. 1982).Google Scholar
  14. (14).
    L. Hall, J. Lykken and S. Weinberg, Phys. Rev. D. 27 (1983) 2359. See also L. Hall in these proceedings.Google Scholar
  15. (15).
    P. Nath, R. Arnowitt and A.H. Chamseddine, Nucl. Phys. B227 (1983) 121.Google Scholar
  16. (16).
    B.A. Ovrut and S. Raby, Phys. Lett. 130B (1983) 277; 125B (1983) 270; 121B (1983) 381. S.K. Soni and H.A. Weldon, Phys. Lett. 126B, 215 (1983).Google Scholar
  17. (17).
    M. Claudson, L.J. Hall and I. Hinchliffe, Nucl. Phys. B228 (1983) 501.Google Scholar
  18. (18).
    C. Kounnas, A.B. Lahanas, D.V. Nanopoulos and M. Quiros, Phys. Lett. 132B (1983) 95; CERN TH. 3651 (1983).Google Scholar
  19. (19).
    J. Ellis, A.B. Lahanas, D.V. Nanopoulos and K. Tamvakis, Phys. Lett. 134 (1984) 429.Google Scholar
  20. (20).
    R. Arnowitt, P. Nath and A.H. Chamseddine, Proc. of the International Symposium Gauge Theory and Gravitation, Tezukayama University, Nara, Japan August, 1982.Google Scholar
  21. (21).
    P. Nath, A.H. Chamseddine and R. Arnowitt, Proc. of APS Meeting at the University of Maryland, College Park, Maryland, October 1982.Google Scholar
  22. (22).
    P. Nath, A.H. Chamseddine and R. Arnowitt, Proc. of Orbis Scientiae, Miami, Florida, 1983.Google Scholar
  23. (23).
    J. Ellis and D.V. Nanopoulos, Phys. Lett. 116B (1982) 133.Google Scholar
  24. (24).
    H. Goldberg, Phys. Rev. Lett. 50 (1983) 1419.Google Scholar
  25. (25).
    R. Barbieri, L. Girardello and A. Marsiero, Phys. Lett. 127B (1983) 429.Google Scholar
  26. (26).
    A.H. Chamseddine, P. Nath and R. Arnowitt, Phys. Lett. 129B (1983) 445.Google Scholar
  27. (27).
    P. Nath, R. Arnowitt and A.H. Chamseddine, Harvard/Northeastern preprint HUTP-83/AO77-NUB#2588.Google Scholar
  28. (28).
    M.-M. Frere and G.L. Kane, Nucl. Phys. B223, 331 (1983). G.L. Kane, in Proc. of the Fourth Workshop on Grand Unification (1983).Google Scholar
  29. (29).
    J. Ellis, J.S. Hagelin, D.V. Nanopoulos and M. Srednicki, Phys. Lett. 127B (1983) 233.Google Scholar
  30. (30).
    D.A. Dicus, S. Nandi, and X. Tata, Phys. Lett. 129B (1983) 451.Google Scholar
  31. (31).
    B. Grinstein, J. Polchinski and M.B. Wise Phys. Lett. 130B (1983) 285.Google Scholar
  32. (32).
    P. Fayet, Phys. Lett. 133B, 363 (1983); 117B (1983) 460.Google Scholar
  33. (33).
    R.M. Barnett, L. Lackner and H.E. Haber, Phys. Rev. Lett. 51 (1983) 176; Phys. Lett. 126B (1983) 64.Google Scholar
  34. (34).
    N. Cabibbo, L. Maiani and S. Petrarca, Phys. Lett. 132B (1983) 195; R. Barbieri, N. Cabibbo, L. Maiani and S. Petrarca, Phys. Lett. 127B (1983) 458.Google Scholar
  35. (35).
    G. Altarelli and R. RUckl, Ref. TH. 3814-CERN.Google Scholar
  36. (36).
    M. Glück and E. Reya, Phys. Lett. 130B (1983) 423.Google Scholar
  37. (37).
    G. Eilam and E. Reya, TECHNION-PH-84-17.Google Scholar
  38. (38).
    D.A. Dicus, S. Nandi, W. Repko and X. Tata, Phys. Rev. Lett. 51 (1983) 1030.Google Scholar
  39. (39).
    S. Dawson, E. Eichten and C. Quigg, FERMILAB-Pub-83/82-THY; LBL-16540 (1983).Google Scholar
  40. (40).
    J.S. Ha gel in, G.L. Kane and S. Raby, Preprint LA-UR-83-711; L.E. Ibáñez, FTUAM83–28 (1983).Google Scholar
  41. (41).
    K.S. Stelle and P.C. West, Nucl. Phys. 145, 175 (1978).Google Scholar
  42. (42).
    P. van Nieuwenhuizen and S. Ferrara, Phys. Lett. 76 (1978) 404.Google Scholar
  43. (43).
    E. Cremmer, B. Julia, J. Scherk, S. Ferrara, L. Girardello and P. van Nieuwenhuizen, Nucl. Phys. B147, 105 (1979).Google Scholar
  44. (44).
    A.H. Chamseddine, R. Arnowitt and P. Nath, Phys. Rev. Lett. 49, 970 (1982) and P. Nath, R. Arnowitt and A.H. Chamseddine, NUB #2613.Google Scholar
  45. (45).
    E. Cremmer, S. Ferrara, L. Girardello and A. van Proeyen, Phys. Lett. 116, B231 (1982); Nucl. Phys. B212 (1983) 413.Google Scholar
  46. (46).
    E. Witten and J. Bagger, Phys. Lett. 115B (1982) 202. J. Bagger, Nucl. Phys. B211 (1983) 302.Google Scholar
  47. (47).
    T. Kugo and S. Uehara, Nucl. Phys. B222 (1983) 125. S. Ferrara, L. Girardello, T. Kugo and A. Van Proeyen, CERN TH 3523 (1983). C.S. Aulakh, H. Kaku and R.N. Mohapatra, Phys. Lett. 126B, 183 (1983).Google Scholar
  48. (48).
    J. Wess and B. Zumino, Nucl. Phys. B70 (1974) 39.Google Scholar
  49. (49).
    B. Zumino, Phys. Lett. 87B, 203 (1979).Google Scholar
  50. (50).
    The simplest illustration of the effect is due to J. Polony, University of Budapest Report No. KFKI-1977-93, 1977 (unpublished).Google Scholar
  51. (51).
    R. Arnowitt, A.H. Chamseddine and P. Nath, Proc. of Workshop on Problems in Unification and Supergravity, La Jolla Institute, Jan. 1983.Google Scholar
  52. (52).
    M. Cvetič and J.C. Pati, Phys. Lett. 135B (1984) 57.Google Scholar
  53. (53).
    H.P. Nilles, M. Srednicki and D. Wyler, Phys. Lett. 124B (1983) 337 and 120B (1982) 346. A.B. Lahanas, Phys. Lett. 124B (1983) 341.Google Scholar
  54. (54).
    J. Bailey et al., Phys. Lett. 68B, 191 (1977); F.J.M. Farley and E. Picasso, Ann. Rev. Nucl. Sci. 29, 243 (1979), F. Combley, F.J.H. Farley, and E. Picasso, Phys. 68, 93 (1981); L. Lyons, Prog. Part. and Nucl. Phys. 10, 227 (1983).Google Scholar
  55. (55).
    T. Kinoshita, B. Nižié and Y. Okamoto, Phys. Rev. Lett. 53, 717 (1984).Google Scholar
  56. (56).
    Vernon W. Hughes (Private Communication). A serious consideration of this possibility is planned at the “Workshop on a Possible High Precision Huon G-2 Experiment at the AGS” June 11–June 16, 1984 at BNL.Google Scholar
  57. (57).
    R. Jackiw and S. Weinberg, Phys. Rev. D5,2473 (1972). G. Altarelli, N. Cabibbo and L. Haiani, Phys. Lett. 40B 415 (1972). I. Bars and M. Yoshimura, Phys. Rev. D6, 374 (1972). K. Fujikawa, B.W. Lee and A.I. Sanda, Phys. Rev. D6, 2923 (1972). W.A. Bardeen, R. Gastmans and B.E. Lautrup, Nucl. Phys. B46, 319 (1972).Google Scholar
  58. (58).
    P. Fayet, in Unification of the Fundamental Particle Interactions, eds. S. Ferrara, J. Ellis, and P. van Nieuwenhuizen (Plenum, New York, 1980), p. 587. J.A. Grifols and A. Mendez, Phys. Rev. D26, 1809 (1982). J. Ellis, J.S. Hagelin and D.V. Nanopoulos, Phys. Lett. 116B, 283 (1982). R. Barbieri and L. Haiani, Phys. Lett. 117B, 203 (1982).Google Scholar
  59. (59).
    D.A. Kosower, L.M. Krauss and N. Sakai, Phys. Lett. 133B, 305 (1983).Google Scholar
  60. (61).
    (60) T.-C. Yuan, R. Arnowitt, A.H. Chamseddine and P. Nath, NUB #2633 (1984).Google Scholar
  61. (61).
    W. Bartel et al. (JADE collaboration), Phys. Lett. 114B, 211 (1982)Google Scholar
  62. (61a).
    W. Bartel et al. (CELLO collaboration), Phys. Lett. 114B, 287 (1982)Google Scholar
  63. (61b).
    B. Adeva et al. (MARK J collaboration), Phys. Lett. 115B, 345 (1982).Google Scholar
  64. (61c).
    R. Brandelik (TASSO collaboration), Phys. Lett. 117B, 365 (1982).Google Scholar
  65. (61d).
    Fernandez et al. (MAC collaboration), Phys. Rev. Lett. 52, 22 (1984).Google Scholar
  66. (62).
    J. Kim, P. Langacker, M. Levine and H.H. Williams, Rev. Mod Phys. 53, 211 (1981).Google Scholar
  67. (63).
    M. Jonker et al. CHARM Collab. Phys. Lett. 99B, 265 (1981).Google Scholar
  68. (64).
    A. Sirlin, Rev. Mod. Phys. 50, 573 (1978); Phys. Rev. D22, 971 (1980).Google Scholar
  69. (65).
    W. Marciano and A. Sirlin, Phys. Rev. D22, 2695 (1980); Nucl. Phys. B189 (1981) 442; Reprint BNL-33819 (1984).Google Scholar
  70. (66).
    M. Veltman, Nucl. Phys. B123, 89 (1977).Google Scholar
  71. (67).
    R. Barbieri and L. Maiani, Nucl. Phys. B224, 32 (1983).Google Scholar
  72. (68).
    (68) T. Inami and N. Sakai, University of Tokyo Preprint INS-Rep.-480 (1983).Google Scholar
  73. (69).
    E. Eliasson, Northeastern University preprint NUB #2621 (1983).Google Scholar
  74. (70).
    E. Eliasson, Northeastern University preprint NUB #2640 (1984).Google Scholar
  75. (71).
    B.A. Campbell, J.A. Scott and M.K. Sundaresan, Phys. Lett. 126B, 376 (1983).Google Scholar
  76. (72).
    G.L. Kane and J.P. Leveille, Phys. Lett. 112B, 227 (1982); R.R. Harrison andGoogle Scholar
  77. (72a).
    C.H. Llewellyn-Smith, Nucl. Phys. B213, 223 (1983).Google Scholar
  78. (73).
    N.S. Craigie, K. Hidaka and P. Ratcliffe, Phys. Lett. 129B, 310 (1983).Google Scholar
  79. (74).
    Proc. of 1982 DPF-Summer Study on Elementary Particle Physics and Future Facilities, SNowmass, Colorado, 1982. Ed. by R. Donaldson, R. Dustafson and F. Paige.Google Scholar
  80. (75).
    R.M. Godbole, S. Pakvasa and D.P. Roy, Phys. Lett. 50 (1983) 1539. V. Barger, A.D. Martin and R.J.N. Phillips, Phys. Lett. 125B, 339 (1983).Google Scholar
  81. (76).
    M.K. Gaillard, L. Hall and I. Hinchliffe, Phys. Lett. 116B, 279 (1982).Google Scholar
  82. (77).
    For the current experimental status of proton decay see Proc. Fifth Grand Unification Workshop at Brown (1984).Google Scholar
  83. (78).
    J.C. Pati and A. Salam, Phys. Rev. D8, 1240 (1973). H. Georgi and S.L. Glashow, Phys. Rev. Letters 32, 438 (1974). For a recent review see J.C. Pati in Proc. of the ICOMON Conference, Frascati (1983).Google Scholar
  84. (79).
    J. Ellis, D.V. Nanopoulos and S. Rudaz, Nucl. Phys. B202, 43–62 (1982). V.M. Belyaev and M.I. Vysotsky, Phys. Lett. 127B, 215 (1983). J. 11ilutnovik, P. Pal and G. Senjavonic, NSF-ITP-84-05.Google Scholar
  85. (80).
    N. Sakai, TIT/HEP-78 (1983).Google Scholar
  86. (81).
    R. Arnowitt, C.H. Chamseddine and P. Nath, NUB #2641.Google Scholar
  87. (82).
    J. Polchinski and M. Wise, Phys. Lett. 125B, 393 (1983). R. Mohapatra, S. Ouvry and G. Senjanovic, Phys. Lett. 126B, 329 (1983). F. del Aguila, M.B. Gavela, J.A. Grifols and A. Mendez, Phys. Lett. 126B, 71 (1983). F. del Aguila, J.A. Grifols, A. Mendez, D. Nanopoulos and 11. Srednicki, Phys. Lett. 129B, 77 (1983). J.-M. Gerard, W. Grimus, A. Raychaudauri, and G. Zoupanos, Ref. TH. 3809-CERN.Google Scholar
  88. (83).
    S. Weinberg, Phys. Rev. Lett. 48, 1303 (1982). J. Ellis, A.D. Linde and D.V. Nanopoulos, Phys. Lett. 118B (1982) 59. L.M. Krauss, HUTP-83/AO09. M. Yu Khlopov and A.D. Linde, Phys. Lett. 138B, 265 (1984). See also A.D. Linde, Talk at the Shelter Island Conference II, 1–3 June 1983. K.A. Olive, in Proc. of the 3rd Moriond Astrophysics Meeting, LaPlagne, France, 1983, Eds. J. Audouze and J. Tran Thanh Van.Google Scholar
  89. (84).
    M. Dine, W. Fischler and D. Nemeschansky, Preprint 1983. G.D. Coughlan, W. Fischler, E. Kolb, S. Raby and G.G. Ross, Los Alamos Preprint LA-UR83-1423.Google Scholar
  90. (85).
    F. del Aguila, M. Dugân, B. Grinstein and L. Hall, G.G. Ross and P. West, HUTP-84/A001. See also L. Hall in these proceedings.Google Scholar
  91. (86).
    R. Arnowitt, C.H. Chamseddine and P. Nath, Proc. of the Fourth Grand Unification Workshop at Brown (1984).Google Scholar
  92. (87).
    G. Thomas and P. West, Kings College Preprint (1984).Google Scholar
  93. (88).
    E. Witten, Princeton University Preprint (1983).Google Scholar
  94. (89).
    See P. Roy in these proceedings and P. Roy and 0. Shahker, TIFR/TH-84-6 (1984).Google Scholar
  95. (90).
    For analyses in SUSY models see K. Inoue, A. Kakuto, M. Komatsu and S. Takeshita, Prog. Theor. Phys. 67, 1889 (1972); 68, 927 (1982). R.A. Flores and M. Sher, Ann. Phys. 148, 95 (1983). B.P. Li and M. Sher, Technical Report No. 84-7.Google Scholar
  96. (91).
    G. Arnison et al., CERN-EP/84-42.Google Scholar
  97. (92).
    J. Ellis and H. Kowalski, Ref. TH. 1843-CERN (1984).Google Scholar
  98. (93).
    G. Altarelli, B. Mele and F. Petrarca, Ref. TH. 3822-CERN.Google Scholar
  99. (94).
    (94) E. Reya and D.P. Roy, DO-TH. 84/11 (1984).Google Scholar
  100. (100).
    (95) H.E. Haber and G.L. Kane, UCSC-TH-169-84.Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Pran Nath
    • 1
  • R. Arnowitt
    • 1
  • A. H. Chamseddine
    • 1
  1. 1.Department of PhysicsNortheastern UniversityBostonUSA

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