Unification of gauge, Higgs and matter in extra dimensions

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 562, Issue 3-4, 2003, Pages 307-315

  Gogoladze, Ilia ^a,b   Mimura, Yukihiro ^a   Nandi, S ^a  

^a OKLAHOMA STATE UNIVERSITY   (United States)

^b ILIA STATE UNIVERSITY   (Georgia)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ATOMIC PARTICLE; CHIRALITY; MOLECULAR INTERACTION; QUANTUM MECHANICS; RATING SCALE; STRUCTURE ANALYSIS; THEORETICAL MODEL;

EID: 0038751589     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(03)00564-1     Document Type: Article

References (74)

1. N.S. Manton, Nucl. Phys. B 158 (1979) 141; D.B. Fairlie, J. Phys. G 5 (1979) L55; D.B. Fairlie, Phys. Lett. B 82 (1979) 97; P. Forgacs, N.S. Manton, Commun. Math. Phys. 72 (1980) 15; G. Chapline, R. Slansky, Nucl. Phys. B 209 (1982) 461; D. Kapetanakis, G. Zoupanos, Phys. Rep. 219 (1992) 1.
2. N.S. Manton, Nucl. Phys. B 158 (1979) 141; D.B. Fairlie, J. Phys. G 5 (1979) L55; D.B. Fairlie, Phys. Lett. B 82 (1979) 97; P. Forgacs, N.S. Manton, Commun. Math. Phys. 72 (1980) 15; G. Chapline, R. Slansky, Nucl. Phys. B 209 (1982) 461; D. Kapetanakis, G. Zoupanos, Phys. Rep. 219 (1992) 1.
3. N.S. Manton, Nucl. Phys. B 158 (1979) 141; D.B. Fairlie, J. Phys. G 5 (1979) L55; D.B. Fairlie, Phys. Lett. B 82 (1979) 97; P. Forgacs, N.S. Manton, Commun. Math. Phys. 72 (1980) 15; G. Chapline, R. Slansky, Nucl. Phys. B 209 (1982) 461; D. Kapetanakis, G. Zoupanos, Phys. Rep. 219 (1992) 1.
4. N.S. Manton, Nucl. Phys. B 158 (1979) 141; D.B. Fairlie, J. Phys. G 5 (1979) L55; D.B. Fairlie, Phys. Lett. B 82 (1979) 97; P. Forgacs, N.S. Manton, Commun. Math. Phys. 72 (1980) 15; G. Chapline, R. Slansky, Nucl. Phys. B 209 (1982) 461; D. Kapetanakis, G. Zoupanos, Phys. Rep. 219 (1992) 1.
5. N.S. Manton, Nucl. Phys. B 158 (1979) 141; D.B. Fairlie, J. Phys. G 5 (1979) L55; D.B. Fairlie, Phys. Lett. B 82 (1979) 97; P. Forgacs, N.S. Manton, Commun. Math. Phys. 72 (1980) 15; G. Chapline, R. Slansky, Nucl. Phys. B 209 (1982) 461; D. Kapetanakis, G. Zoupanos, Phys. Rep. 219 (1992) 1.
6. N.S. Manton, Nucl. Phys. B 158 (1979) 141; D.B. Fairlie, J. Phys. G 5 (1979) L55; D.B. Fairlie, Phys. Lett. B 82 (1979) 97; P. Forgacs, N.S. Manton, Commun. Math. Phys. 72 (1980) 15; G. Chapline, R. Slansky, Nucl. Phys. B 209 (1982) 461; D. Kapetanakis, G. Zoupanos, Phys. Rep. 219 (1992) 1.
7. Y. Hosotani, Phys. Lett. B 126 (1983) 309; Y. Hosotani, Phys. Lett. B 129 (1983) 193; Y. Hosotani, Phys. Rev. D 29 (1984) 731; Y. Hosotani, Ann. Phys. 190 (1989) 233.
8. Y. Hosotani, Phys. Lett. B 126 (1983) 309; Y. Hosotani, Phys. Lett. B 129 (1983) 193; Y. Hosotani, Phys. Rev. D 29 (1984) 731; Y. Hosotani, Ann. Phys. 190 (1989) 233.
9. Y. Hosotani, Phys. Lett. B 126 (1983) 309; Y. Hosotani, Phys. Lett. B 129 (1983) 193; Y. Hosotani, Phys. Rev. D 29 (1984) 731; Y. Hosotani, Ann. Phys. 190 (1989) 233.
10. Y. Hosotani, Phys. Lett. B 126 (1983) 309; Y. Hosotani, Phys. Lett. B 129 (1983) 193; Y. Hosotani, Phys. Rev. D 29 (1984) 731; Y. Hosotani, Ann. Phys. 190 (1989) 233.
11. L.J. Hall, H. Murayama, Y. Nomura, Nucl. Phys. B 645 (2002) 85, hep-th/0107245; R. Dermisek, S. Raby, S. Nandi, Nucl. Phys. B 641 (2002) 327, hep-th/0205122.
12. L.J. Hall, H. Murayama, Y. Nomura, Nucl. Phys. B 645 (2002) 85, hep-th/0107245; R. Dermisek, S. Raby, S. Nandi, Nucl. Phys. B 641 (2002) 327, hep-th/0205122.
13. J. Scherk, J.H. Schwarz, Phys. Lett. B 82 (1979) 60; J. Scherk, J.H. Schwarz, Nucl. Phys. B 153 (1979) 61; E. Witten, Nucl. Phys. B 258 (1985) 75; P. Candelas, G.T. Horowitz, A. Strominger, E. Witten, Nucl. Phys. B 258 (1985) 46; L. Dixon, J. Harvey, C. Vafa, E. Witten, Nucl. Phys, B 261 (1985) 651.
14. J. Scherk, J.H. Schwarz, Phys. Lett. B 82 (1979) 60; J. Scherk, J.H. Schwarz, Nucl. Phys. B 153 (1979) 61; E. Witten, Nucl. Phys. B 258 (1985) 75; P. Candelas, G.T. Horowitz, A. Strominger, E. Witten, Nucl. Phys. B 258 (1985) 46; L. Dixon, J. Harvey, C. Vafa, E. Witten, Nucl. Phys, B 261 (1985) 651.
15. J. Scherk, J.H. Schwarz, Phys. Lett. B 82 (1979) 60; J. Scherk, J.H. Schwarz, Nucl. Phys. B 153 (1979) 61; E. Witten, Nucl. Phys. B 258 (1985) 75; P. Candelas, G.T. Horowitz, A. Strominger, E. Witten, Nucl. Phys. B 258 (1985) 46; L. Dixon, J. Harvey, C. Vafa, E. Witten, Nucl. Phys, B 261 (1985) 651.
16. J. Scherk, J.H. Schwarz, Phys. Lett. B 82 (1979) 60; J. Scherk, J.H. Schwarz, Nucl. Phys. B 153 (1979) 61; E. Witten, Nucl. Phys. B 258 (1985) 75; P. Candelas, G.T. Horowitz, A. Strominger, E. Witten, Nucl. Phys. B 258 (1985) 46; L. Dixon, J. Harvey, C. Vafa, E. Witten, Nucl. Phys, B 261 (1985) 651.
17. J. Scherk, J.H. Schwarz, Phys. Lett. B 82 (1979) 60; J. Scherk, J.H. Schwarz, Nucl. Phys. B 153 (1979) 61; E. Witten, Nucl. Phys. B 258 (1985) 75; P. Candelas, G.T. Horowitz, A. Strominger, E. Witten, Nucl. Phys. B 258 (1985) 46; L. Dixon, J. Harvey, C. Vafa, E. Witten, Nucl. Phys, B 261 (1985) 651.
18. Y. Kawamura, Prog. Theor. Phys. 103 (2000) 613, hep-ph/9902423; Y. Kawamura, Prog. Theor. Phys. 105 (2001) 999, hep-ph/0012125; Y. Kawamura, Prog. Theor. Phys. 105 (2001) 691, hep-ph/0012352.
19. Y. Kawamura, Prog. Theor. Phys. 103 (2000) 613, hep-ph/9902423; Y. Kawamura, Prog. Theor. Phys. 105 (2001) 999, hep-ph/0012125; Y. Kawamura, Prog. Theor. Phys. 105 (2001) 691, hep-ph/0012352.
20. Y. Kawamura, Prog. Theor. Phys. 103 (2000) 613, hep-ph/9902423; Y. Kawamura, Prog. Theor. Phys. 105 (2001) 999, hep-ph/0012125; Y. Kawamura, Prog. Theor. Phys. 105 (2001) 691, hep-ph/0012352.
21. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
22. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
23. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
24. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
25. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
26. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
27. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
28. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
29. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
30. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
31. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
32. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
33. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
34. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
35. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
36. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
37. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
38. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
39. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
40. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
41. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
42. See, for example, G. Altarelli, F. Feruglio, Phys. Lett. B 511 (2001) 257, hep-ph/0102301; A.B. Kobakhidze, Phys. Lett. B 514 (2001) 131, hep-ph/0102323; L.J. Hall, Y. Nomura, Phys. Rev. D 64 (2001) 055003, hep-ph/0103125; L.J. Hall, Y. Nomura, Phys. Rev. D 66 (2002) 075004, hep-ph/0205067; A. Hebecker, J. March-Russel, Nucl. Phys. B 613 (2001) 3, hep-ph/0106166; A. Hebecker, J. March-Russel, Nucl. Phys. B 625 (2002) 128, hep-ph/0107039; T.J. Li, Phys. Lett. B 520 (2001) 377, hep-th/0107136; T.J. Li, Nucl. Phys. B 619 (2001) 75, hep-ph/0108120; C. Csaki, G.D. Kribs, J. Terning, Phys. Rev. D 65 (2002) 015004, hep-ph/0107266; N. Maru, Phys. Lett. B 522 (2001) 117, hep-ph/0108002; L.J. Hall, Y. Nomura, T. Okui, D.R. Smith, Phys. Rev. D 65 (2002) 035008, hep-ph/0108071; R. Dermisek, A. Mafi, Phys. Rev. D 65 (2002) 055002, hep-ph/0108139; T. Watari, T. Yanagida, Phys. Lett. B 519 (2001) 164, hep-ph/0108152; Y. Mimura, S. Nandi, Phys. Lett. B 538 (2002) 406, hep-ph/0203126; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Nucl. Phys. B 649 (2003) 39, hep-ph/0204080; F. Paccetti Correia, M.G. Schmidt, Z. Tavartkiladze, Phys. Lett. B 545 (2002) 153, hep-ph/0206307; R.N. Mohapatra, A. Perez-Lorenzana, Phys. Rev. D 66 (2002) 035005, hep-ph/0205347; N. Haba, Y. Shimizu, hep-ph/0210146; N. Haba, Y. Shimizu, Phys. Lett. B 560 (2003) 133, hep-ph/0212384; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 554 (2003) 81, hep-ph/0210320; J. Jiang, T.J. Li, W. Liao, hep-ph/0210436; R. Kitano, T. Li, hep-ph/0302073.
43. I. Antoniadis, Phys. Lett. B 246 (1990) 377; N.V. Krasnikov, Phys. Lett. B 273 (1991) 246; I. Antoniadis, K. Benakli, Phys. Lett. B 326 (1994) 69, hep-th/9310151; H. Hatanaka, T. Inami, C.S. Lim, Mod. Phys. Lett. A 13 (1998) 2601, hep-th/9805067; G.R. Dvali, S. Randjbar-Daemi, R. Tabbash, Phys. Rev. D 65 (2002) 064021, hep-ph/0102307; N. Arkani-Hamed, A.G. Cohen, H. Georgi, Phys. Lett. B 513 (2001) 232, hep-ph/0105239; I. Antoniadis, K. Benakli, M. Quiros, New J. Phys. 3 (2001) 20, hep-th/0108005; C. Csaki, C. Grojean, H. Murayama, hep-ph/0210133.
44. I. Antoniadis, Phys. Lett. B 246 (1990) 377; N.V. Krasnikov, Phys. Lett. B 273 (1991) 246; I. Antoniadis, K. Benakli, Phys. Lett. B 326 (1994) 69, hep-th/9310151; H. Hatanaka, T. Inami, C.S. Lim, Mod. Phys. Lett. A 13 (1998) 2601, hep-th/9805067; G.R. Dvali, S. Randjbar-Daemi, R. Tabbash, Phys. Rev. D 65 (2002) 064021, hep-ph/0102307; N. Arkani-Hamed, A.G. Cohen, H. Georgi, Phys. Lett. B 513 (2001) 232, hep-ph/0105239; I. Antoniadis, K. Benakli, M. Quiros, New J. Phys. 3 (2001) 20, hep-th/0108005; C. Csaki, C. Grojean, H. Murayama, hep-ph/0210133.
45. I. Antoniadis, Phys. Lett. B 246 (1990) 377; N.V. Krasnikov, Phys. Lett. B 273 (1991) 246; I. Antoniadis, K. Benakli, Phys. Lett. B 326 (1994) 69, hep-th/9310151; H. Hatanaka, T. Inami, C.S. Lim, Mod. Phys. Lett. A 13 (1998) 2601, hep-th/9805067; G.R. Dvali, S. Randjbar-Daemi, R. Tabbash, Phys. Rev. D 65 (2002) 064021, hep-ph/0102307; N. Arkani-Hamed, A.G. Cohen, H. Georgi, Phys. Lett. B 513 (2001) 232, hep-ph/0105239; I. Antoniadis, K. Benakli, M. Quiros, New J. Phys. 3 (2001) 20, hep-th/0108005; C. Csaki, C. Grojean, H. Murayama, hep-ph/0210133.
46. I. Antoniadis, Phys. Lett. B 246 (1990) 377; N.V. Krasnikov, Phys. Lett. B 273 (1991) 246; I. Antoniadis, K. Benakli, Phys. Lett. B 326 (1994) 69, hep-th/9310151; H. Hatanaka, T. Inami, C.S. Lim, Mod. Phys. Lett. A 13 (1998) 2601, hep-th/9805067; G.R. Dvali, S. Randjbar-Daemi, R. Tabbash, Phys. Rev. D 65 (2002) 064021, hep-ph/0102307; N. Arkani-Hamed, A.G. Cohen, H. Georgi, Phys. Lett. B 513 (2001) 232, hep-ph/0105239; I. Antoniadis, K. Benakli, M. Quiros, New J. Phys. 3 (2001) 20, hep-th/0108005; C. Csaki, C. Grojean, H. Murayama, hep-ph/0210133.
47. I. Antoniadis, Phys. Lett. B 246 (1990) 377; N.V. Krasnikov, Phys. Lett. B 273 (1991) 246; I. Antoniadis, K. Benakli, Phys. Lett. B 326 (1994) 69, hep-th/9310151; H. Hatanaka, T. Inami, C.S. Lim, Mod. Phys. Lett. A 13 (1998) 2601, hep-th/9805067; G.R. Dvali, S. Randjbar-Daemi, R. Tabbash, Phys. Rev. D 65 (2002) 064021, hep-ph/0102307; N. Arkani-Hamed, A.G. Cohen, H. Georgi, Phys. Lett. B 513 (2001) 232, hep-ph/0105239; I. Antoniadis, K. Benakli, M. Quiros, New J. Phys. 3 (2001) 20, hep-th/0108005; C. Csaki, C. Grojean, H. Murayama, hep-ph/0210133.
48. I. Antoniadis, Phys. Lett. B 246 (1990) 377; N.V. Krasnikov, Phys. Lett. B 273 (1991) 246; I. Antoniadis, K. Benakli, Phys. Lett. B 326 (1994) 69, hep-th/9310151; H. Hatanaka, T. Inami, C.S. Lim, Mod. Phys. Lett. A 13 (1998) 2601, hep-th/9805067; G.R. Dvali, S. Randjbar-Daemi, R. Tabbash, Phys. Rev. D 65 (2002) 064021, hep-ph/0102307; N. Arkani-Hamed, A.G. Cohen, H. Georgi, Phys. Lett. B 513 (2001) 232, hep-ph/0105239; I. Antoniadis, K. Benakli, M. Quiros, New J. Phys. 3 (2001) 20, hep-th/0108005; C. Csaki, C. Grojean, H. Murayama, hep-ph/0210133.
49. I. Antoniadis, Phys. Lett. B 246 (1990) 377; N.V. Krasnikov, Phys. Lett. B 273 (1991) 246; I. Antoniadis, K. Benakli, Phys. Lett. B 326 (1994) 69, hep-th/9310151; H. Hatanaka, T. Inami, C.S. Lim, Mod. Phys. Lett. A 13 (1998) 2601, hep-th/9805067; G.R. Dvali, S. Randjbar-Daemi, R. Tabbash, Phys. Rev. D 65 (2002) 064021, hep-ph/0102307; N. Arkani-Hamed, A.G. Cohen, H. Georgi, Phys. Lett. B 513 (2001) 232, hep-ph/0105239; I. Antoniadis, K. Benakli, M. Quiros, New J. Phys. 3 (2001) 20, hep-th/0108005; C. Csaki, C. Grojean, H. Murayama, hep-ph/0210133.
50. I. Antoniadis, Phys. Lett. B 246 (1990) 377; N.V. Krasnikov, Phys. Lett. B 273 (1991) 246; I. Antoniadis, K. Benakli, Phys. Lett. B 326 (1994) 69, hep-th/9310151; H. Hatanaka, T. Inami, C.S. Lim, Mod. Phys. Lett. A 13 (1998) 2601, hep-th/9805067; G.R. Dvali, S. Randjbar-Daemi, R. Tabbash, Phys. Rev. D 65 (2002) 064021, hep-ph/0102307; N. Arkani-Hamed, A.G. Cohen, H. Georgi, Phys. Lett. B 513 (2001) 232, hep-ph/0105239; I. Antoniadis, K. Benakli, M. Quiros, New J. Phys. 3 (2001) 20, hep-th/0108005; C. Csaki, C. Grojean, H. Murayama, hep-ph/0210133.
51. L.J. Hall, Y. Nomura, D.R. Smith, Nucl. Phys. B 639 (2002) 307, hep-ph/0107331.
52. G. Burdman, Y. Nomura, Nucl. Phys. B 656 (2003) 3, hep-ph/0210257.
53. N. Haba, Y. Shimizu, hep-ph/0212166.
54. Q. Shafi, Z. Tavartkiladze, Phys. Rev. D 66 (2002) 115002; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 560 (2003) 204, hep-ph/0301014.
55. Q. Shafi, Z. Tavartkiladze, Phys. Rev. D 66 (2002) 115002; I. Gogoladze, Y. Mimura, S. Nandi, Phys. Lett. B 560 (2003) 204, hep-ph/0301014.
56. K.S. Babu, S.M. Barr, B.S. Kyae, Phys. Rev. D 65 (2002) 115008, hep-ph/0202178.
57. T. Watari, T. Yanagida, Phys. Lett. B 532 (2002) 252, hep-ph/0201086; T. Watari, T. Yanagida, Phys. Lett. B 544 (2002) 167, hep-ph/0205090.
58. T. Watari, T. Yanagida, Phys. Lett. B 532 (2002) 252, hep-ph/0201086; T. Watari, T. Yanagida, Phys. Lett. B 544 (2002) 167, hep-ph/0205090.
59. J.C. Pati, A. Salam, Phys. Rev. D 10 (1974) 275.
60. T.J. Li, Eur. Phys. J. C 24 (2002) 595, hep-th/0110065; T.J. Li, Nucl. Phys. B 633 (2002) 83, hep-th/0112255; C.S. Huang, J. Jiang, T.J. Li, W. Liao, Phys. Lett. B 530 (2002) 218, hep-th/0112046.
61. T.J. Li, Eur. Phys. J. C 24 (2002) 595, hep-th/0110065; T.J. Li, Nucl. Phys. B 633 (2002) 83, hep-th/0112255; C.S. Huang, J. Jiang, T.J. Li, W. Liao, Phys. Lett. B 530 (2002) 218, hep-th/0112046.
62. T.J. Li, Eur. Phys. J. C 24 (2002) 595, hep-th/0110065; T.J. Li, Nucl. Phys. B 633 (2002) 83, hep-th/0112255; C.S. Huang, J. Jiang, T.J. Li, W. Liao, Phys. Lett. B 530 (2002) 218, hep-th/0112046.
63. N. Arkani-Hamed, T. Gregoire, J. Wacker, JHEP 0203 (2002) 055, hep-th/0101233.
64. M.B. Green, J.H. Schwarz, Phys. Lett. B 149 (1984) 117.
65. C.D. Froggatt, H.B, Nielsen, Nucl. Phys. B 147 (1979) 277.
66. H. Georgi, C. Jarlskog, Phys. Lett. B 86 (1979) 297.
67. J.L. Chkareuli, I.G. Gogoladze, Phys. Rev. D 58 (1998) 055011, hep-ph/9803335.
68. M.B. Einhorn, D.R.T. Jones, Nucl. Phys. B 196 (1982) 475; W. Marciano, G. Senjanović, Phys. Rev. D 25 (1982) 3092; V. Barger, M.S. Berger, P. Ohmann, Phys. Rev. D 47 (1993) 1093; S.P. Martin, M.T. Vaughn, Phys. Rev. D 50 (1994) 2282.
69. M.B. Einhorn, D.R.T. Jones, Nucl. Phys. B 196 (1982) 475; W. Marciano, G. Senjanović, Phys. Rev. D 25 (1982) 3092; V. Barger, M.S. Berger, P. Ohmann, Phys. Rev. D 47 (1993) 1093; S.P. Martin, M.T. Vaughn, Phys. Rev. D 50 (1994) 2282.
70. M.B. Einhorn, D.R.T. Jones, Nucl. Phys. B 196 (1982) 475; W. Marciano, G. Senjanović, Phys. Rev. D 25 (1982) 3092; V. Barger, M.S. Berger, P. Ohmann, Phys. Rev. D 47 (1993) 1093; S.P. Martin, M.T. Vaughn, Phys. Rev. D 50 (1994) 2282.
71. M.B. Einhorn, D.R.T. Jones, Nucl. Phys. B 196 (1982) 475; W. Marciano, G. Senjanović, Phys. Rev. D 25 (1982) 3092; V. Barger, M.S. Berger, P. Ohmann, Phys. Rev. D 47 (1993) 1093; S.P. Martin, M.T. Vaughn, Phys. Rev. D 50 (1994) 2282.
72. P. Langacker, N. Polonsky, Phys. Rev. D 47 (1993) 4028; M. Carena, S. Pokorsky, C.E.M. Wagner, Nucl. Phys. B 406 (1993) 59.
73. P. Langacker, N. Polonsky, Phys. Rev. D 47 (1993) 4028; M. Carena, S. Pokorsky, C.E.M. Wagner, Nucl. Phys. B 406 (1993) 59.
74. Particle Data Group, K. Hagiwara, et al., Phys. Rev. D 66 (2002) 010001.