Quantum Gravity Correction to Co-bimaximal Neutrino Mixings
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 3.15oDownloads
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