Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Neutrino mass scale and the mixing angle θ13 for quasidegenerate Majorana neutrinos

Rathin Adhikari1,*, Anindya Datta2,3,†, and Biswarup Mukhopadhyaya3,‡

  • 1Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi - 110025, India
  • 2Department of Physics, University of Calcutta, 92, A. P. C. Road, Kolkata 700009, India
  • 3Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad - 211 019, India

  • *rathin@jamia-physics.net
  • adphys@caluniv.ac.in
  • biswarup@mri.ernet.in

Phys. Rev. D 76, 073003 – Published 11 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.073003

Abstract

Considering a general mass matrix for quasidegenerate neutrinos and treating the experimentally known oscillation parameters as inputs, we study the correlation between the degenerate mass scale (m) and the mixing angle θ13. We find that, corresponding to different values of m, there exist upper bounds on θ13, so that a precise determination of the latter in the future may put an upper limit on the former, and vice versa. One can also find a possible correlation between m and a lower bound of θ13, depending on the relative strength of the unperturbed degenerate mass matrix and the perturbation. The possible constraints on the parameters of a few models of quasidegenerate neutrinos are briefly discussed.

Article Text

References (16)

  1. D. N. Spergel et al., Astrophys. J. Suppl. Ser. 170, 377 (2007).
  2. M. Fukugita et al., Phys. Rev. D 74, 027302 (2006).
  3. S. T. Petcov and A. Yu Smirnov, Phys. Lett. B 322, 109 (1994); D. O. Caldwel and R. N. Mohapatra, Phys. Rev. D 48, 3259 (1993); 50, 3477 (1994); M. Fukugita, M. Tanimoto, and T. Yanagida, 57, 4429 (1998).
  4. P. Binetruy, S. Lavignac, S. T. Petcov, and P. Ramond, Nucl. Phys. B496, 3 (1997).
  5. C. D. Carone and M. Sher, Phys. Lett. B 420, 83 (1998).
  6. K. R. S. Balaji, A. S. Dighe, R. N. Mohapatra, and M. K. Parida, Phys. Rev. Lett. 84, 5034 (2000).
  7. R. Adhikari, E. Ma, and G. Rajasekaran, Phys. Lett. B 486, 134 (2000).
  8. E. Ma and G. Rajasekaran, Phys. Rev. D 64, 113012 (2001); E. Ma, Phys. Rev. Lett. 86, 2502 (2001).
  9. R. N. Mohapatra, M. K. Parida, and G. Rajasekaran, Phys. Rev. D 69, 053007 (2004); 71, 057301 (2005).
  10. Y. Fukuda et al. (Super-Kamiokande Collaboration), Phys. Rev. Lett. 81, 1158 (1998); Super-Kamiokande Collaboration82, 1810 (1999); Super-Kamiokande Collaboration82, 2430 (1999); S. Fukuda et al. (Super-Kamiokande Collaboration), 86, 5651 (2001); Super-Kamiokande Collaboration86, 5656 (2001); Super-Kamiokande CollaborationPhys. Lett. B 539, 179 (2002); Q. R. Ahmad et al. (SNO Collaboration), Phys. Rev. Lett. 87, 071301 (2001); SNO Collaboration89, 011301 (2002); SNO Collaboration89, 011302 (2002); S. N. Ahmed et al. (SNO Collaboration), 92, 181301 (2004); G. Giacomelli et al. (MACRO Collaboration), Nucl. Phys. B, Proc. Suppl. 145, 116 (2005).
  11. Y. Ashie et al. (Super-Kamiokande Collaboration), Phys. Rev. Lett. 93, 101801 (2004); M. Ishitsuka (Super-Kamiokande Collaboration), The 5th Workshop on “Neutrino Oscillations and Their Origin,” NOON2004, Tokyo, Japan, 2004; Y. Ashie et al. (Super-Kamiokande Collaboration), Phys. Rev. D 71, 112005 (2005).
  12. K. Eguchi et al. (KamLAND Collaboration), Phys. Rev. Lett. 90, 021802 (2003); M. Apollonio et al. (CHOOZ Collaboration), Eur. Phys. J. C 27, 331 (2003).
  13. A. Bandyopadhyay et al., Phys. Lett. B 608, 115 (2005); S. Choubey, Nucl. Phys. B, Proc. Suppl. 138, 326 (2005).
  14. H. V. Klapdor-kleingrothaus, arXiv:hep-ph/0512263.
  15. M. Gell-Mann, P. Ramond, R. Slansky, in Supergravity, edited by P. Van Nieuwenhuizen and D. Z. Freedman (North Holland, Amsterdam, 1979), p. 315; T. Yanagida, in Proceedings of the Workshop on the Unified Theory and the Baryon Number in the Universe, edited by O. Sawada and A. Sugamoto (KEK, Tsukuba, Japan, 1979) (KEK-Report No. 79-18), p. 95; S. Weinberg, Phys. Rev. Lett. 43, 1566 (1979); R. N. Mohapatra and G. Senjanovic, 44, 912 (1980); E. Ma, 86, 2502 (2001).
  16. G. C. Branco et al., Phys. Rev. Lett. 82, 683 (1999).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation