Neutrino Oscillation Probability from Tri-Bimaximality due to Planck Scale Effects

TL;DR

This paper investigates how Planck scale effects can cause deviations from tri-bimaximal neutrino mixing, leading to measurable changes in neutrino oscillation probabilities, especially affecting the solar mixing angle.

Contribution

It introduces a model where quantum gravity effects induce perturbations to neutrino mixing, providing quantitative predictions for deviations from tri-bimaximal mixing due to Planck scale operators.

Findings

Solar mixing angle can deviate by about 10%.

Oscillation probability P_{μe} can change significantly.

Planck scale effects can impact neutrino mixing parameters.

Abstract

Current neutrino experimental data on neutrino mixing are well describes by Tri-bi-maximal mixing, which is predicts sin^{2}\theta_{12}=1/3,zero U_{e3} and \theta_{23}=45^{o}. We consider the planck scale operator on neutrino mixing. We assume that the neutrino masses and mixing arise through physics at a scale intrimediate between planck scale and the electroweak braking scale. We also assume, that just above the electroweak breaking scale neutrino mass are nearly degenerate and the mixing is tri-bi-maximal. Quantum gravity (Planck scale) effects lead to an effective SU(2)_{L}\times U(1) invariant dimension-5 Lagrangian symmetry involving Standard Model. On electroweak symmetry breaking, this operator gives rise to correction to the neutrino masses and mixings these additional terms can be considered as perturbation to the tri-bimaximal neutrino mass matrix. We compute the deviation of the three mixing angles and oscillation probability. We find that the only large change in solar mixing angle and % change in maximum P_{\mu e} is about 10%.