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Bi-maximal Neutrino Mixing and Anomalous Flavor U(1)

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Recent Developments in Particle Physics and Cosmology

Part of the book series: NATO Science Series ((NAII,volume 34))

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Abstract

We describe how bi-maximal neutrino mixing can be realized in realistic models based on MSSM and SUSY GUTs such as SU(5) and S0(10). A crucial role is played by an anomalous U(1) flavor symmetry, which also helps understand the observed charged fermion mass hierarchies and the magnitudes of the CKM matrix elements. While in MSSM a variety of solutions for the solar neutrino puzzle are possible, SUSY SU(5) and S0(10) only permit the large mixing angle MSW solution. Models in which the U(1) symmetry also mediates SUSY breaking allow both the large mixing angle and the low MSW solutions. We also present renormalization group studies for the neutrino mass matrix, generated through the U(1) flavor symmetry. Our analysis shows that renormalization does not change the desirable picture of bi-maximal mixing.

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References

  1. Pukuda, Y. et al. (1999) Phys. Rev. Lett. 82, 2644; (1999) Phys. Lett. B 467, 185; Fornengo, N. et al. (2000) Nucl. Phys. B 580, 58.

    Article  ADS  Google Scholar 

  2. Bahcall, J., Krastev P., Smirnov A. hep-ph/0006078; Bahcall J. hep-ex/0002018; Gonzalez-Garcia, M.C. et al. (2000) Nucl. Phys. B 573, 3.

    Google Scholar 

  3. Athanassapoulos, C. et al. (1995) Phys. Rev. Lett. 75, 2650; (1996) Phys. Rev. Lett. 77, 3082; nucl-ex/9706006.

    Article  ADS  Google Scholar 

  4. Akhmedov, E. hep-ph/0011136, hep-ph/0011353; Gonzalez-Garcia, M.C., Maltoni, M., Pena-Garay, C., Valle, J.W.F. (2001) Phys. Rev. D 63, 033005; See also refer-ances therein.

    ADS  Google Scholar 

  5. Gell-Mann, M., Ramond, P. and Slansky, R. (1979) in Supergravity, eds. Van Nieuwenhuizen, P. and Freedman, D., North-Holland, Amsterdam p. 315; Yanagida, T., (1979) Prog. Theor. Phys. 135, 66; Mohapatra, R. and Senjanovic, G. (1980) Phys. Rev. Lett. 44, 912.

    Google Scholar 

  6. Barbieri, R. at el. hep-ph/9807235.

    Google Scholar 

  7. Joshipura, A.S., Rindani, S.D. hep-ph/9811252; Mohapatra, R.N., Perez-Lorenzana, A. and De S. Pires, C.A. hep-ph/9911395.

    Google Scholar 

  8. Shafi, Q. and Tavartkiladze, Z. hep-ph/0002150.

    Google Scholar 

  9. Nir, Y. hep-ph/0002168; Bell, N.F., Volkas, R.R. hep-ph/0008177; Kitabayashi T., Yasue, M. hep-ph/0011153.

    Google Scholar 

  10. Green, M. and Schwarz, J. (1984) Phys. Lett. B 149, 117.

    Article  MathSciNet  ADS  Google Scholar 

  11. Dine, M.,N. Seiberg, N. and Witten, E. (1987) Nucl. Phys. B 289, 584; Atick, J., Dixon, L. and Sen, A. (1987) Nucl. Phys. B 292, 109; Dine, M., Ichinose, I. and Seiberg, N. (1987) Nucl. Phys. B 293, 253

    ADS  Google Scholar 

  12. Ibañez, L., Ross, G.G. (1994) Phys. Lett. B 332, 100; Binetruy, P., Ramond, P. (1995) Phys. Lett. B 350, 49; Jain, V., Shrock, R. (1995) Phys. Lett. B 352, 83; Du-das, E., Pokorski, S., Savoy, C. (1995) Phys. Lett. B 369, 255; Choi, K., Chun, E.J., Kim, H. (1997) Phys. Lett. B 394, 89; Berezhiani, Z., Tavartkiladze, Z. (1997) Phys. Lett. B 396, 150; (1997) Phys. Lett. B 409, 220; Irges, N., Lavignac, S., Ramond, P. (1998) Phys. Rev. D 58, 035003; Shafi, Q., Tavartkiladze, Z. hep-ph/9904249; hep-ph/9905202.

    Article  ADS  Google Scholar 

  13. Binetruy, P., Lavignac, S., Petcov, S. (1997) Nucl. Phys. B 496, 3; Leontaris, G., Tracas, N. (1998) Phys. Lett. B 431, 90; Barbieri, R. et al. (1998) JHEP 9812, 017; Grossman, Y., Nir, Y., Shadmi, Y. (1998) JHEP 9810, 007; Fukugita, M., Tanimoto, M., Yanagida, T. hep-ph/9809554; Gomez, M. et al. (1999) Phys. Rev. D 59, 116009; Froggat, C., Gibson, M., Nielsen, H. hep-ph/9811265; Rang, S., Kim, C. hep-ph/9811379; Mohapatra, R. hep-ph/9910365; Feng, J., Nir, Y. hep-ph/9911370; Mira, J.M. et al. (2000) Phys. Lett. B 492, 81; Altarelli, G., Feruglio, F., Masina, I. hep-ph/0007254. Berger, M., Siyeon, K. hep-ph/0010245.

    Article  ADS  Google Scholar 

  14. Ramond, P. hep-ph/9808489, and references therein; Sato, J. and Yanagida, T. hep-ph/9809307; See also Vissani, F. hep-ph/9810435.

    Google Scholar 

  15. Suematsu, D. (1997) Phys. Lett. B 392, 413; Davidson, S., King, S.F. hep-ph/9808296.

    Article  ADS  Google Scholar 

  16. Shaft, Q. and Tavartkiladze, Z. (1999) Phys. Lett. B 451, 129.

    Article  ADS  Google Scholar 

  17. Binetruy, P. et al. (1997) Nucl. Phys. B 496, 3; Barger, V., Weiler, T.J. and Whisnant, K. (1998) Phys. Lett. B 427, 97; Grossman, Y., Nir, Y. and Shadmi, Y. hep-ph/9808355; Shaft, Q. and Tavartkiladze, Z. (1999) Phys. Lett. B 448, 46, hep-ph/9811463. In the context of realistic SU(4)C × SU(2)L × SU(2)R model with maximal vμ — vT mixing, it was also discussed in ref. [19].

    Article  ADS  Google Scholar 

  18. Shaft, Q. and Tavartkiladze, Z. (2000) Phys. Lett. B 487, 145.

    ADS  Google Scholar 

  19. Shaft, Q. and Tavartkiladze, Z. (1999) Nucl Phys. B 549, 3, hep-ph/9811282.

    Article  ADS  Google Scholar 

  20. Dvali, G. and Pomarol, A. (1996) Phys. Rev. Lett. 77, 3738; Binetruy, P. and Dudas, E. (1996) Phys. Lett. B 389, 503.

    Article  ADS  Google Scholar 

  21. Dine, M., Kagan, A., Samuel, S. (1990) Phys. Lett. B 243, 250; Dimopoulos, S., Giudice, G. (1995) Phys. Lett. B 357, 573; Arkani-Hamed, N., Murayama, H. (1997) Phys. Rev. D 56, 6733; Hisano, J., Kurosawa, K., Nomura, Y. (1999) Phys. Lett. B 445, 316; Everett, L. et al. (2000) Phys. Lett. B 477, 233; Feng, J., Matchev, K. hep-ph/0011356; See also references therein.

    Google Scholar 

  22. Gabbiani, F., Gabrielli, E., Masiero, A., Silvestrini, L. (1996) Nucl. Phys. B 477, 321; Eyal, G., Masiero, A., Nir, Y., Silvestrini, L. hep-ph/9908382.

    Article  ADS  Google Scholar 

  23. Nelson, A., Wright, D. hep-ph/9702359.

    Google Scholar 

  24. Shaft, Q., Tavartkiladze, Z. (2000) Phys. Lett. B 473, 272, hep-ph/9911264.

    Article  ADS  Google Scholar 

  25. Wetterich, C. (1981) Nucl. Phys. B 187, 343; Chankowski, P., Pluciennik, Z. (1993) Phys. Lett. B 316, 312; Tanimoto, M. (1995) Phys. Lett. B 360, 41; Haba, N. at el. hep-ph/9810471; Ellis, J., Lola, S. hep-ph/9904279; Chankowski, P., Kro-likowski, W., Pokorski, S. hep-ph/9910231.

    Article  ADS  Google Scholar 

  26. Wu, Y. hep-ph/9905222; Lola, S. hep-ph/0005093; Miura, T. at el. hep-ph/0005267; King. S., Singh, N. (2000) Nucl. Phys. B 591, 3; Akhmedov, E. at el. hep-ph/0008010; Balaji, K. at el. hep-ph/0011263.

    Google Scholar 

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Shafi, Q., Tavartkiladze, Z. (2001). Bi-maximal Neutrino Mixing and Anomalous Flavor U(1). In: Branco, G.C., Shafi, Q., Silva-Marcos, J.I. (eds) Recent Developments in Particle Physics and Cosmology. NATO Science Series, vol 34. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0676-7_5

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  • DOI: https://doi.org/10.1007/978-94-010-0676-7_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7182-3

  • Online ISBN: 978-94-010-0676-7

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