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International Journal of Theoretical Physics

, Volume 50, Issue 3, pp 760–766 | Cite as

Relation Between CPT Violation in Neutrino Masses and Mixings

  • Bipin Singh Koranga
  • Mohan Narayan
  • S. Uma Sankar
Article

Abstract

The neutrino parameters determined from the solar neutrino data and the anti-neutrino parameters determined from KamLAND reactor experiment are in good agreement with each other. However, the best fit points of the two sets differ from each other by about 10−5 eV2 in mass-square difference and by about 2° in the mixing angle. Future solar neutrino and reactor anti-neutrino experiments are likely to reduce the uncertainties in these measurements. This, in turn, can lead to a signal for CPT violation in terms a non-zero difference between neutrino and anti-neutrino parameters. In this paper, we propose a CPT violating mass matrix which can give rise to the above differences in both mass-squared difference and mixing angle and study the constraints imposed by the data on the parameters of the mass matrix.

Keywords

CPT violation Neutrino masses and mixings 

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References

  1. 1.
    Araki, T., et al. (KamLAND Collaboration): Phys. Rev. Lett. 94, 081801 (2005) CrossRefADSGoogle Scholar
  2. 2.
    Abe, S., et al. (KamLAND Collaboration): Phys. Rev. Lett. 100, 221803 (2008) CrossRefADSGoogle Scholar
  3. 3.
    Bahcall, J.N., Gonzalez-Garcia, M.C., Pena-Garay, C.: J. High Energy Phys. 0408, 016 (2004) CrossRefADSGoogle Scholar
  4. 4.
    Fogili, G.L., Lisi, E., Marrone, A., Palazzo, A.: hep-ph/0605186
  5. 5.
    de Gouvea, A., Pena-Garay, C.: Phys. Rev. D 71, 093002 (2005) CrossRefADSGoogle Scholar
  6. 6.
    de Gouvea, A.: Talk presented at Neutrino 2004. Paris. hep-ph/0408246
  7. 7.
    Choubey, S., Petcov, S.T.: Phys. Lett. B 594, 333 (2004) CrossRefADSGoogle Scholar
  8. 8.
    Minakata, H., Nunokawa, H., Teves, W.J.C., Zukanovich Funchal, R.: Phys. Rev. D 71, 013005 (2005) CrossRefADSGoogle Scholar
  9. 9.
    Bandyopadhyay, A., Choubey, S., Goswami, S., Petcov, S.T.: Phys. Rev. D 72, 033013 (2005) CrossRefADSGoogle Scholar
  10. 10.
    Goswami, S.: Int. J. Mod. Phys. A 21, 1901 (2006). Talk presented at LP 2005, Uppsala CrossRefADSGoogle Scholar
  11. 11.
    Petcov, S.T., Schwetz, T.: hep-ph/0607155
  12. 12.
    Vogelaar, B.: Talk presented at Neutrino 2006, Santa Fe, June 2006 Google Scholar
  13. 13.
    Greenberg, O.W.: Phys. Rev. Lett. 89, 231602 (2002) CrossRefADSGoogle Scholar
  14. 14.
    Kostelecky, V.A., Mewes, M.: Phys. Rev. D 69, 016005 (2004) CrossRefADSGoogle Scholar
  15. 15.
    Skadhauge, S.: Nucl. Phys. B 639, 281 (2002) CrossRefADSGoogle Scholar
  16. 16.
    Barenboim, G., Lykken, J.: arXiv:0908.2993
  17. 17.
    Barenboim, G., Borissov, L., Lykken, J., Smirnov, A.Yu.: J. High Energy Phys. 0210, 001 (2002) CrossRefADSGoogle Scholar
  18. 18.
    Barenboim, G., Beacom, J.F., Borissov, L., Kayser, B.: Phys. Lett. B 537, 227 (2002) CrossRefADSGoogle Scholar
  19. 19.
    Barenboim, G., Lykken, J.: Phys. Lett. B 554, 73 (2003) MATHCrossRefADSGoogle Scholar
  20. 20.
    Koranga, B.S., Narayan, M., Sankar, S.U.: Fizika B (Zagreb) 18, 219 (2009) Google Scholar
  21. 21.
    Vissani, F., Narayan, M., Berezinsky, V.: Phys. Lett. B 571, 209 (2003) CrossRefADSGoogle Scholar
  22. 22.
    Koranga, B.S., Narayan, M., Sankar, S.U.: Phys. Lett. B 665, 63 (2008) CrossRefADSGoogle Scholar
  23. 23.
    Schwetz, T., Tortola, M., Valle, J.W.F.: New J. Phys. 10, 113011 (2008) CrossRefADSGoogle Scholar
  24. 24.
    Weinheimer, C., et al.: Phys. Lett. B 460, 219 (1999) CrossRefADSGoogle Scholar
  25. 25.
    Lobashev, V.M., et al.: Phys. Lett. B 460, 227 (1999) CrossRefADSGoogle Scholar
  26. 26.
    Tegmark, M.: Phys. Scr. T 121, 153 (2005). hep-ph/0503257 CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Bipin Singh Koranga
    • 1
  • Mohan Narayan
    • 2
  • S. Uma Sankar
    • 3
  1. 1.Department of PhysicsKirori Mal College (University of Delhi)DelhiIndia
  2. 2.Department of PhysicsInstitute of Chemical TechnologyMumbaiIndia
  3. 3.Department of PhysicsIndian Institute of Technology BombayMumbaiIndia

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