Predicting lepton flavor mixing from Δ(48) and generalized C P symmetries

We propose to understand the mixing angles and C P-violating phases from the ?(48) family symmetry combined with the generalized C P symmetry. A model-independent analysis is performed by scanning all the possible symmetry breaking chains. We find a new mixing pattern with only one free parameter, excellent agreement with the observed mixing angles can be achieved and all the C P-violating phases are predicted to take nontrivial values. This mixing pattern is testable in the near future neutrino oscillation and neutrinoless double-beta decay experiments.Finally, a flavor model is constructed to realize this mixing pattern.     

机械波在界面的反射、透射和半波损失

本文推导出了平面简谐波垂直入射时在界面上产生的反射波和透射波的表达式,并讨论波从波疏介质传播到波密介质产生的半波损失现象.有助于理工科学生理解机械波界面行为等相关物理概念和物理规律.