标题： II型跷跷板模型与模 $A_4$ 对称性 显示英文标题

标题： Type II seesaw models with modular $A_4$ symmetry

摘要： 我们讨论采用模 $A_4$ 对称性的类型-II seesaw 模型，在超对称框架中。 在我们的方法中，模型根据轻子和三重态希格斯场的 $A_4$ 表示和模权重进行分类。 然后中微子质量矩阵由模 $\tau$ 和两个自由参数来表征。 进行数值分析后，我们找到了可以拟合中微子振荡数据的允许参数集。 对于这些允许的参数集，我们得到了中微子区的预测，如CP破坏相位和最轻中微子质量。 最后，我们也展示了双电荷标量玻色子的分支比预测，重点关注双电荷标量玻色子主要衰变为带电轻子的情况。 显示英文摘要

摘要： We discuss type-II seesaw models adopting modular $A_4$ symmetry in supersymmetric framework. In our approach, the models are classified by the assignment of $A_4$ representations and modular weights for leptons and triplet Higgs fields. Then neutrino mass matrix is characterized by modulus $\tau$ and two free parameters. Carrying out numerical analysis, we find allowed parameter sets which can fit the neutrino oscillation data. For the allowed parameter sets, we obtain the predictions in neutrino sector such as CP violating phases and the lightest neutrino mass. Finally we also show the predictions for the branching ratios of doubly charged scalar boson focusing on the case where the doubly charged scalar boson dominantly decays into charged leptons.