A_4模型中真空期望值偏差引起的摩擦极大混合偏差
Deviations from tribimaximal mixing due to the vacuum expectation value misalignment in A_4 models
摘要：
在标准模型中加入A_4族对称性和扩展的Higgs扇形，假设Higgs标量的真空期望值排列正确，可以产生轻子的三重极大混合斑图。偏离这种排列会影响对中微子振荡和中微子质量观测值的预测。本文试图根据所选的A_4粒子分配对文献中的大量模型进行分类。在这些模型中，两个特别受欢迎的例子已经分析了从tribimmaximal混合扰动真空期望值对齐的偏差。研究了扰动对混合角观测量的影响。然而，只有对与质量相关的观测量（无中微子双β衰变的有效质量和宇宙学中的质量之和）的研究才能导致特定模型被未来数据的约束排除在外，这表明中微子质量在解开模型中的重要性。还对模型进行了参数微调测试。此外，一个著名的跷跷板模型推广到包括额外的标量，转换为A_4的表示，不包括在原始模型。
英文摘要：
The addition of an A_4 family symmetry and extended Higgs sector to the Standard Model can generate the tribimaximal mixing pattern for leptons, assuming the correct vacuum expectation value alignment of the Higgs scalars. Deviating this alignment affects the predictions for the neutrino oscillation and neutrino mass observables. An attempt is made to classify the plethora of models in the literature, with respect to the chosen A_4 particle assignments. Of these models, two particularly popular examples have been analyzed for deviations from tribimaximal mixing by perturbing the vacuum expectation value alignments. The effect of perturbations on the mixing angle observables is studied. However, it is only investigation of the mass-related observables (the effective mass for neutrinoless double beta decay and the sum of masses from cosmology) that can lead to the exclusion of particular models by constraints from future data, which indicates the importance of neutrino mass in disentangling models. The models have also been tested for fine-tuning of the parameters. Furthermore, a well-known seesaw model is generalized to include additional scalars, which transform as representations of A_4 not included in the original model.
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