普朗克尺度效应引起的三双峰态的中微子振荡几率
Neutrino Oscillation Probability from Tri-Bimaximality due to Planck Scale Effects
摘要：
目前中微子混合的实验数据可用三-二-最大混合模型来描述，即sin^{2}θ 12}=1/3，零U_{e3}和θ 23}=45^{o}.我们考虑中微子混合的普朗克尺度算符。我们假设中微子质量和混合是在普朗克尺度和电弱制动尺度之间的一个尺度上通过物理学产生的。我们还假设，以上的电弱破缺标度中微子质量几乎简并和混合是三双极大。量子引力（普朗克尺度）效应导致了一个有效的SU（2）_{L} \times U（1）不变的5维拉格朗日对称性，涉及标准模型.在电弱对称性破缺时，该算符引起中微子质量的修正，这些附加项可以被认为是对三双峰中微子质量矩阵的扰动。计算了三个混合角的偏差和振荡几率。我们发现，太阳混合角和最大P_{μe}的%变化的唯一大的变化是大约10%。
英文摘要：
Current neutrino experimental data on neutrino mixing are well describes by Tri-bi-maximal mixing, which is predicts sin^{2}θ_{12}=1/3,zero U_{e3} and θ_{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_{μe} is about 10%.
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