论文标题
具有CP相的质量矩阵模块化风味对称性
Mass matrices with CP phase in modular flavor symmetry
论文作者
论文摘要
我们研究模块化风味对称模型中夸克质量基质的CP违规和CP阶段。 CP对称性保持在$τ= e^{2πi/3} $，通过模块化对称性的$ t $ -smmetry的组合。但是，$ t $ -smmetry折断可能会导致固定点$τ= e^{2πi/3} $的CP违规。我们研究了磁化轨道模型中的这种可能性，是模块化风味对称模型的示例。通常，这些模型具有多个HIGGS模式的候选者，而通用字符串压缩也导致了几种HIGGS模式。这些希格斯模式在$ t $转换下具有不同的行为。光希格斯模式可以是这些模式的线性组合，从而导致逼真的夸克质量矩阵。在某个情况下，质量矩阵的CP阶段并未出现，该情况由$ t $转换行为决定。偏离它很重要的是要实现物理CP阶段。我们讨论了一个示例，导致在固定点$τ= e^{2πi/3} $处的非变化CP阶段。
We study the CP violation and the CP phase of quark mass matrices in modular flavor symmetric models. The CP symmetry remains at $τ= e^{2 πi/3}$ by a combination of the $T$-symmetry of the modular symmetry. However, the $T$-symmetry breaking may lead to the CP violation at the fixed point $τ= e^{2 πi/3}$. We study such a possibility in magnetized orbifold models as examples of modular flavor symmetric models. These models, in general, have more than one candidates for Higgs modes, while generic string compactifications also lead to several Higgs modes. These Higgs modes have different behaviors under the $T$-transformation. The light Higgs mode can be a linear combination of those modes so as to lead to realistic quark mass matrices. The CP phase of mass matrix does not appear in a certain case, which is determined by the $T$-transformation behavior. Deviation from it is important to realize the physical CP phase. We discuss an example leading to non-vanishing CP phase at the fixed point $τ= e^{2 πi/3}$.
