Abstract
The quantum gravity may have strong consequence for neutrino oscillation phenemomenon over a large distance.We found a significant modification of neutrino oscillation due to quantum gravity effects. Quantum gravity (Planck scale effects) leads to an effective S U(2) L ×U(1) invariant dimension-5 Lagrangian involving, neutrino and Higgs fields. On symmetry breaking, this operator gives rise to correction to the neutrino masses and mixing. The gravitational interaction (M X =M p l ) demands that the element of this perturbation matrix should be independent of flavor indices. In this paper, we study the quantum gravity effects on neutrino oscillation, namely modified dispersion relation for neutrino oscillations parameter.
Similar content being viewed by others
References
Page, D.N., Gelker, C.D.: Phys. Rev. Lett. 47, 979 (1981)
Camelia, G.A.: Lect. Notes Phys. 59, 669 (2005)
Ahluwalia, D.V., Burgard, C.: Gen. Relativ. Gravit. 28, 1161 (1996)
Ahluwalia, D.V., Burgard, C.: Phys. Rev. D 57, 4724 (1998)
Gonzalez-Garcia, M.C., et al.: Phys. Rev. D 70, 033010 (2004)
Battistoni, G., et al.: Phys. Lett. B 615, 14 (2005)
ICECUBE Collaboration, Ahrens, J., et al.: Nuclear Phys. Proc. Suppl. 118, 338 (2003)
ANTARES Collaboration, Korolkova, E.V.: Nuclear Phys. Proc. 136, 69 (2004)
NESTOR Collaboration, Resvanis, L.K.: Nuclear Phys. Proc. 35, 29 (1994)
NEMO Collaboration Status of the NEMO Project: arXiv: astro-ph/0611105
Mattingly, D.: Living Rev. Relativ. 8, 5 (2005)
Coleman, S.R., et al.: Phys. Rev. D 59, 116008 (1995)
Christian, J., et al.: Phys. Rev. D 71, 024012 (2005)
Balantekin, A.B.: J. Phys. Conf. Ser. 337, 012049 (2012)
Weinberg, S.: Phys. Rev. Lett. 43 (1979)
MINOS Collaboration, Adsmson, P., et al.: Phys. Rev. Lett. 101, 131082 (2008)
Apollonio, M., et al.: Phys. Lett. B 466, 415 (1999)
Boehm, F., et al.: Phys. Rev. Lett. 84, 3764 (2000)
Yamamoto, S., et al.: Phys. Rev. Lett. 84, 3764 (2006)
Itow, Y., et al.: arXiv: hep-ex/0106.19
Guo, X., et al.: arXiv: hep-ex/0701029
Soo, B., et al.: arXiv: 1204.0626
Coleman, S., Galshow, S.L.: Phys. Rev. D, 59116008 (1999)
Vissani, F., et al.: Phys. Lett. B 571, 209 (2003)
Koranga, B.S., Narayan, M., Uma Sankar, S.: Fizika B 18, 219 (2009)
Koranga, B.S., Narayan, M., Uma Sankar, S.: Phys. Lett. B 665, 63 (2000)
Kraus, C., et al.: Eur. Phys. J. 33 (2004)
Super-Kamiokande Collaboration, Hosaka, J., et al.: Phys. Rev. D 74, 32002 (2006)
KamLAND Collaboration, Hosaka, J., et al.: Phys. Rev. Lett. 94, 08180 (2005)
Koranga, B.S.: Modern Phys. Lett. A 25, 2183 (2010)
Mohapatra, R.N., et al.: Phys. Rev. Lett. 44, 912 (1980)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Koranga, B.S., Narayan, M. Quantum Gravity Effect on Neutrino Oscillation. Int J Theor Phys 53, 2753–2759 (2014). https://doi.org/10.1007/s10773-014-2071-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-014-2071-3