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.
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Blasone, M., et al.: Phys. Lett. A 323, 182 (2004)
Pontecorvo, B.: Sov. Phys. JETP 6, 429 (1957)
Mikheev, S.P., Smirnov, A.Y.: Sov. J. Nucl. Phys. 42, 913 (1985)
Wolfenstein, L.: Phys. Rev. D 17, 2369 (1978)
Fujii, K.: Nuovo Cimento 34, 722 (1964)
Bilenky, S.M., Petcov, S.T.: Rev. Mod. Phys. 59, 671 (1987)
Gribov, V.N., Pontecorvo, B.: Phys. Rep. 41, 225 (1978)
Mohapatra, R.N., Pal, P.B.: World Sci. Lect. Notes Phys. 41, 1 (1991)
Bahcall, J.N.: Neutrino Astrophysics. Cambridge Univ. Press, Cambridge (1989)
Cheng, T., Li, L.: Gauge Theory of Elementary Particle Physics. Clarendon, Oxford (1989)
Blasone, M., et al.: Ann. Phys. 244, 283 (1995)
Blasone, M., et al.: Phys. Lett. B 451, 140 (2003)
Fujii, K., et al.: Phys. Rev. D 64, 013011 (2001)
Ji, C.R., Mishchenko, Y.: Phys. Rev. D 64, 076004 (2001)
Blasone, M., et al.: Phys. Lett. A 323, 182 (2004)
Capolupo, A., et al.: Phys. Lett. A 363, 53 (2007)
Mohapatra, R.N., et al.: Phys. Rev. Lett. 44, 912 (1980)
Coleman, S., Galshow, S.L.: Phys. Rev. D 59, 116008 (1999)
Vissani, F., et al.: Phys. Lett. B 571, 209 (2003)
Koranga, B.S., Narayan, M., Sankar, S.U.: Fizika B 18, 219–226 (2009)
Koranga, B.S., Narayan, M., Sankar, S.U.: Phys. Lett. B 665, 63 (2008)
Weinberg, S.: Phys. Rev. Lett. 43, 1566 (1979)
Capolupo, A., Capozziello, S., Vitiello, G.: Int. J. Mod. Phys. A 23, 4979–4990 (2008)
Koranga, B.S.: Electron. J. Theor. Phys. 5, 133–140 (2008)
Koranga, B.S., Sankar, S.U.: Electron. J. Theor. Phys. 6, 229 (2009)
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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
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DOI: https://doi.org/10.1007/s10773-010-0655-0