Large leptonic Dirac CP phase from broken democracy with random perturbations
Large leptonic Dirac CP phase from broken democracy with random perturbations
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DOI：
10.1016/j.physletb.2018.04.040
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发表时间：
2018-03
影响因子：
4.4
通讯作者：
S. Ge;A. Kusenko;T. Yanagida
中科院分区：
文献类型：
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作者：
S. Ge;A. Kusenko;T. Yanagida
轻子狄拉克CP阶段的很大值可能来自破裂的民主，其中质量矩阵是民主的，直到小的随机扰动。这样的扰动是S 3的剩余对称性破坏的自然结果，这些对称性决定了民主质量矩阵处于主导顺序。在随机扰动下，轻子狄拉克CP相有更高的概率达到±π/2左右。与无政府模型相比，破裂的民主模型可以受益于剩余的S 3对称性，并且它可以对夸克和轻子扇区的质量等级、混合角和狄拉克CP相给出更好、更现实的预测。我们的方法提供了一类模型的一般框架，在这类模型中，剩余对称性决定了前序的一般特征，并且在缺乏其他基本原理的情况下，对称破缺以随机扰动的形式出现。
A large value of the leptonic Dirac CP phase can arise from broken democracy, where the mass matrices are democratic up to small random perturbations. Such perturbations are a natural consequence of broken residual S 3 symmetries that dictate the democratic mass matrices at leading order. With random perturbations, the leptonic Dirac CP phase has a higher probability to attain a value around±π/2. Comparing with the anarchy model, broken democracy can benefit from residual S 3 symmetries, and it can produce much better, realistic predictions for the mass hierarchy, mixing angles, and Dirac CP phase in both quark and lepton sectors. Our approach provides a general framework for a class of models in which a residual symmetry determines the general features at leading order, and where, in the absence of other fundamental principles, the symmetry breaking appears in the form of random perturbations.