Quantum Gravity Correction to Co-bimaximal Neutrino Mixings

  • Bipin Singh Koranga Department of Physics, Kirori Mal college (University of Delhi,) Delhi-110007, India
  • Vivek Kumar Nautiyal Department of Physics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, India
  • Mohan Narayan Department of Physics, Mumbai University Institute of Chemical Technology, Mumbai 400019, India
Keywords: Neutrino Oscillation, Quantum Gravity effect

Abstract

The quantum gravity may have strong consequence for neutrino oscillation phenemomenon. We found a significant modification of neutrino oscillation due to quantum gravity effects in specific case. We also assume that just above the electroweak scale, neutrino masses are degenerate and their mixing is co-bimaximal. Quantum gravity (Planck scale effects) leads to an effective SU(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 (MX=Mpl) demands that the element of this perturbation matrix should be independent of flavor indices. In this paper, we compute the deviation of the three neutrino mixing angles due to Planck scale effects in a co-bimaximal scheme. We found that the change in θ 12 can be as large as 3.15o  

Downloads

Download data is not yet available.

References

[1] Don N Page and C D Gelker Phys.Rev.Lett.47 979(1981).
[2] G Amelino Camelia, Lect. Notes Phys.669 59 (2005).
[3] T2K Collaboration, K.Abeet al.,Phys.Rev.Lett.107 (2011), 041801.
[4] Day Bay Collaboration, F.P Anet al.,Phys.Rev.Lett.108 (2012), 171803.
[5] E.Ma,Phys.Lett.B755 (2016) , 348-350.
[6] D V Ahluwalia and C Burgard Gen. Rel. Grav. 28 1161 (1996)
[7] D V Ahluwalia and C Burgard Phys. Rev D 57 4724 (1998)
[8] S Weinberg Phys.Rev.Lett.431566(1979).
[9] F Vissani et al.,Phys.Lett. B571 209 (2003).
[10] Bipin Singh Koranga Mohan Narayan and S Uma Sankar Phys.Lett.B665
63 (2000)
[11] S R Coleman et al.,Phys.Rev.D 59 116008 (1995)
[12] Bipin Singh Koranga Mod.Phys.Lett.A25 2183 2010
[13] C Kraus et al.,Eur.Phys. J 33 (2004).
[14] Super-Kamiokande Collaboration, J Hosaka, et al.,Phys. RevD 74 32002 (2006).
[15] KamLAND Collaboration J Hosaka et al., Phys.Rev.Lett. 94 08180 (2005)
[16] Y.Abe et al.,Phys.Lett. B723 (2013) 66-70
[17] Guo X et al., hep − ex/0701029
[18] T.Kajita,Pramana 67 (2006) 639-654
[19] MINOS Collaboration,P Adsmson et al., Phys.Rev.Lett 101,131082 (2008)
[20] M Apollonio et al.,Phys.Lett B466 415 (1999)
Published
2020-11-20
How to Cite
Koranga, B., Nautiyal, V., & Narayan, M. (2020). Quantum Gravity Correction to Co-bimaximal Neutrino Mixings. Boson Journal of Modern Physics, 7(1), 24-35. Retrieved from http://scitecresearch.com/journals/index.php/bjmp/article/view/1937
Section
Articles