Skip to main content
Log in

Three Flavor Neutrino Mixing and Dark Energy Above GUT Scale

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Neutrino mixing lead to a non zero contribution to the dark energy of the universe. We assume that the neutrino masses and mixing arise through physics at a scale intermediate between Planck Scale and the electroweak scale. The mechanism of neutrino mixing is a possible candidate to contribute the cosmological dark energy. Quantum gravitational (Planck scale) effects lead to an effective SU(2) L ×U(1) invariant dimension-5 Lagrangian involving neutrino and Higgs fields, which gives rise to additional terms in neutrino mass matrix. There additional term can be considered to be perturbation of the GUT scale bi-maximal neutrino mass matrix. We assume that the gravitational interaction is flavor. In this paper, we discuss the three flavor neutrino mixing and cosmological dark energy contributes due to Planck scale effects.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Blasone, M., et al.: Phys. Lett. A 323, 182 (2004)

    Article  MATH  ADS  Google Scholar 

  2. Pontecorvo, B.: Sov. Phys. JETP 6, 429 (1957)

    ADS  Google Scholar 

  3. Mikheev, S.P., Smirnov, A.Y.: Sov. J. Nucl. Phys. 42, 913 (1985)

    Google Scholar 

  4. Wolfenstein, L.: Phys. Rev. D 17, 2369 (1978)

    Article  ADS  Google Scholar 

  5. Fujii, K.: Nuovo Cimento 34, 722 (1964)

    Article  Google Scholar 

  6. Bilenky, S.M., Petcov, S.T.: Rev. Mod. Phys. 59, 671 (1987)

    Article  ADS  Google Scholar 

  7. Gribov, V.N., Pontecorvo, B.: Phys. Rep. 41, 225 (1978)

    Article  ADS  Google Scholar 

  8. Mohapatra, R.N., Pal, P.B.: World Sci. Lect. Notes Phys. 41, 1 (1991)

    Google Scholar 

  9. Bahcall, J.N.: Neutrino Astrophysics. Cambridge Univ. Press, Cambridge (1989)

    Google Scholar 

  10. Cheng, T., Li, L.: Gauge Theory of Elementary Particle Physics. Clarendon, Oxford (1989)

    Google Scholar 

  11. Blasone, M., et al.: Ann. Phys. 244, 283 (1995)

    Article  ADS  Google Scholar 

  12. Blasone, M., et al.: Phys. Lett. B 451, 140 (2003)

    ADS  MathSciNet  Google Scholar 

  13. Fujii, K., et al.: Phys. Rev. D 64, 013011 (2001)

    Article  ADS  Google Scholar 

  14. Ji, C.R., Mishchenko, Y.: Phys. Rev. D 64, 076004 (2001)

    Article  ADS  Google Scholar 

  15. Blasone, M., et al.: Phys. Lett. A 323, 182 (2004)

    Article  MATH  ADS  Google Scholar 

  16. Capolupo, A., et al.: Phys. Lett. A 363, 53 (2007)

    Article  ADS  Google Scholar 

  17. Mohapatra, R.N., et al.: Phys. Rev. Lett. 44, 912 (1980)

    Article  ADS  Google Scholar 

  18. Coleman, S., Galshow, S.L.: Phys. Rev. D 59, 116008 (1999)

    Article  ADS  Google Scholar 

  19. Vissani, F., et al.: Phys. Lett. B 571, 209 (2003)

    Article  ADS  Google Scholar 

  20. Koranga, B.S., Narayan, M., Sankar, S.U.: Fizika B 18, 219–226 (2009)

    Google Scholar 

  21. Koranga, B.S., Narayan, M., Sankar, S.U.: Phys. Lett. B 665, 63 (2008)

    Article  ADS  Google Scholar 

  22. Weinberg, S.: Phys. Rev. Lett. 43, 1566 (1979)

    Article  ADS  Google Scholar 

  23. Capolupo, A., Capozziello, S., Vitiello, G.: Int. J. Mod. Phys. A 23, 4979–4990 (2008)

    Article  MATH  ADS  Google Scholar 

  24. Koranga, B.S.: Electron. J. Theor. Phys. 5, 133–140 (2008)

    Google Scholar 

  25. Koranga, B.S., Sankar, S.U.: Electron. J. Theor. Phys. 6, 229 (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bipin Singh Koranga.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Koranga, B.S., Pandey, R. Three Flavor Neutrino Mixing and Dark Energy Above GUT Scale. Int J Theor Phys 50, 1468–1473 (2011). https://doi.org/10.1007/s10773-010-0655-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-010-0655-0

Keywords

Navigation