We rewrite the Yukawa interactions of the Standard Model in terms of flavor-dependent vacuum structure to address the family mass hierarchy and CP violation in both the quark sector and lepton sector. It is realized that Yukawa terms only include the same number of degrees of freedom as phenomenological observables with no requirement of extra particle or any new symmetry. The quark and lepton mass hierarchy arises as a natural result of the close-to-flat vacuum in flavor space. The CP violations in CKM mixing and PMNS mixing are explained as general quantum phases between weak gauge eigenstates and Yukawa interaction states. The mechanism is proven by reproduction of all current quark/lepton mass data and the CKM/PMNS mixing parameters.

中文翻译：

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夸克和轻子依赖于风味的真空的家族质量等级的共同起源和 CP 破坏

我们根据风味相关的真空结构重写了标准模型的 Yukawa 相互作用，以解决夸克扇区和轻子扇区中的族质量层次结构和 CP 违规问题。人们意识到，汤川项只包括与现象学可观察量相同数量的自由度，不需要额外的粒子或任何新的对称性。夸克和轻子的质量等级是风味空间中接近平坦真空的自然结果。CKM混合和PMNS混合中的CP违规被解释为弱规范本征态和Yukawa相互作用态之间的一般量子相。该机制通过再现所有当前的夸克/轻子质量数据和 CKM/PMNS 混合参数得到证明。