Neutrino oscillations in an SO(10) supersymmetric grand unified theory with U(2)XU(1)n family symmetry

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 5, 2000, Pages 1-17

  Blazek T ^a,c   Raby, S ^b   Tobe, K ^b,d  

^a NORTHWESTERN UNIVERSITY   (United States)

^b OHIO STATE UNIVERSITY   (United States)

^c Physics and Informatics   (Slovakia)

^d CERN   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18544380938     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.055001     Document Type: Article

References (98)

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2. For results from the Homestake experiment, see B. T. Cleveland et al., Astrophys. J. 496, 505 (1998); B. T. Cleveland et al., Nucl. Phys. B (Proc. Suppl.) 38, 47 (1995); from SAGE, see V. Gavrin et al., in Neutrino 96, Proceedings of the XVII International Conference on Neutrino Physics and Astrophysics, Helsinki, edited by K. Huitu, K. Enquist, and J. Maalampi (World Publishing, Singapore, 1997), p. 14; from GALLEX, see GALLEX Collaboration, P. Anselmann et al., Phys. Lett. B 342, 440 (1995); for results from Kamiokande, see Kamiokande Collaboration, Y. Fukuda et al., Phys. Rev. Lett. 77, 1683 (1996); and from Super-Kamiokande, see Y. Fukuda et al., ibid. 81, 1158 (1998); ibid. 81, 4279(E) (1998); for recent results from Super-Kamiokande, see talk by M. Smy, DPF99, UCLA, hep-ex/9903034.
3. For results from the Homestake experiment, see B. T. Cleveland et al., Astrophys. J. 496, 505 (1998); B. T. Cleveland et al., Nucl. Phys. B (Proc. Suppl.) 38, 47 (1995); from SAGE, see V. Gavrin et al., in Neutrino 96, Proceedings of the XVII International Conference on Neutrino Physics and Astrophysics, Helsinki, edited by K. Huitu, K. Enquist, and J. Maalampi (World Publishing, Singapore, 1997), p. 14; from GALLEX, see GALLEX Collaboration, P. Anselmann et al., Phys. Lett. B 342, 440 (1995); for results from Kamiokande, see Kamiokande Collaboration, Y. Fukuda et al., Phys. Rev. Lett. 77, 1683 (1996); and from Super-Kamiokande, see Y. Fukuda et al., ibid. 81, 1158 (1998); ibid. 81, 4279(E) (1998); for recent results from Super-Kamiokande, see talk by M. Smy, DPF99, UCLA, hep-ex/9903034.
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22. J. N. Bahcall, P. I. Krastev, and A. Yu. Smirnov, Phys. Rev. D 58, 096016 (1998) and references therein; V. Barger, S. Pakvasa, T. J. Weiler, and K. Whisnant, ibid. 58, 093016 (1998); Phys. Lett. B 437, 107 (1998); G. Altarelli and F. Feruglio, J. High Energy Phys. 11, 021 (1998); R. Barbieri, L. J. Hall, D. Smith, A. Strumia, and N. Weiner, ibid. 12, 017 (1998); R. N. Mohapatra and S. Nussinov, Phys. Lett. B 441, 244 (1998); V. Barger, hep-ph/9808353; V. Barger and K. Whisnant, hep-ph/9812273; S. L. Glashow, P. J. Kernan, and L. M. Krauss, Phys. Lett. B 445, 412 (1999); G. L. Fogli, E. Lisi, A. Marrone, and G. Scioscia, Phys. Rev. D 59, 033001 (1999); G. L. Fogli, E. Lisi, and D. Montanino, Phys. Lett. B 434, 333 (1998); S. M. Bilenky, C. Giunti, and W. Grimus, Prog. Part. Nucl. Phys. 43, 1 (1999); for recent analyses, see J. N. Bahcall, P. I. Krastev, and A. Yu. Smirnov, Phys. Rev. D 60, 093001 (1999); M. C. Gonzalez-Garcia, P. C. de Hollanda, C. Pena-Garay, and J. W. F. Valle, hep-ph/9906469 .
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50. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
51. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
52. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
53. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
54. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
55. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
56. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
57. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
58. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
59. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
60. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
61. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
62. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
63. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
64. L. J. Hall and L. Randall, Phys. Rev. Lett. 65, 2939 (1990); M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); Y. Nir and N. Seiberg, Phys. Lett. B 309, 337 (1993); P. Pouliot and N. Seiberg, ibid. 318, 169 (1993); M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993); M. Leurer, Y. Nir, and N. Seiberg, ibid. B420, 468 (1994); D. Kaplan and M. Schmaltz, Phys. Rev. D 49, 3741 (1994); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); L. J. Hall and H. Murayama, Phys. Rev. Lett. 75, 3985 (1995); P. Frampton and O. Kong, ibid. 75, 781 (1995); Phys. Rev. D 53, 2293 (1996); E. Dudas, S. Pokorski, and C. A. Savoy, Phys. Lett. B 356, 45 (1995); 369, 255 (1996); C. Carone, L. J. Hall, and H. Murayama, Phys. Rev. D 53, 6282 (1996); P. Binetruy, S. Lavignac, and P. Ramond, Nucl. Phys. B477, 353 (1996); V. Lucas and S. Raby, Phys. Rev. D 54, 2261 (1996); Z. Berezhiani, Phys. Lett. B 417, 287 (1998).
65. M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); R. Barbieri, G. Dvali, and L. J. Hall, Phys. Lett. B 377, 76 (1996); R. Barbieri and L. J. Hall, Nuovo Cimento A 110, 1 (1997).
66. M. Dine, R. Leigh, and A. Kagan, Phys. Rev. D 48, 4269 (1993); A. Pomarol and D. Tommasini, Nucl. Phys. B466, 3 (1996); R. Barbieri, G. Dvali, and L. J. Hall, Phys. Lett. B 377, 76 (1996); R. Barbieri and L. J. Hall, Nuovo Cimento A 110, 1 (1997).
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