众所周知夸克和轻子的味混合结构截然不同，夸克和轻子味混合的起源是粒子物理标准模型的疑难问题。在该项目中，我们将系统地分析从分立味对称性和广义CP对称性出发能同时给出与实验相符的轻子和夸克混合角和CP破坏位相的可能理论方案，并找出相应的最小味对称群，接着基于模型无关的分析构造物理模型。此外我们还将研究味对称性模型构造方法tri-direct CP，全面地分析从味对称序列Dn, Δ(3n2), Δ(6n2) 等能给出的轻子味混合模式和中微子质量，并讨论模型在中微子振荡、无中微子的双贝塔衰变、Leptogenesis和轻子味破坏等过程中的唯象学。最后我们将探讨模群对称性在轻子和夸克质量模型构造中的应用，尝试通过orbifolding机制固定模参数以及把模群对称性和广义CP对称性结合起来等。

The flavor mixing structure of quarks is drastically different from that of leptons, the origin of the quark and lepton flavor mixing is a longstanding puzzle of the Standard Model. In this project, we shall perform a comprehensive analysis of possible schemes to explain the quark and lepton mixing angles and CP violation phases simultaneously from discrete flavor symmetry and generalized CP symmetry, then find out the minimal flavor group for each viable scheme and construct concrete models. Moreover, we shall study the tri-direct CP approach which is a new model building method based on discrete flavor group and CP symmetry, we shall investigate the flavor group series Dn,Δ(3n2) , Δ(6n2) etc and their predictions for lepton mixing and neutrino masses in the tri-direct CP approach. The phenomenological implications of the models in neutrino oscillation, neutrinoless double decay, leptogenesis and lepton flavor violation processes would be discussed. In the end, the application of modular symmetry in the construction of lepton and quark mass models will be studied, and we shall try to fix the modular parameter through orbifolding and combined modular symmetry with generalized CP symmetry.