CP相位的重新相位不变结构：在Fritzsch-Xing参数化中简化混合矩阵的结构
Rephasing invariant structure of CP phase for simplified mixing matrices in Fritzsch--Xing parametrization
AI总结：
本文研究了在Fritzsch-Xing参数化中，通过重新相位变换将任意单位ary混合矩阵转换，并分析了在忽略U_{13}^e和U_{23}^e的情况下，FX相位δ_{FX}的结构，揭示了其作为紧凑表达的推广。
摘要：
本文构造了一个显式的重新相位变换，将任意单位ary混合矩阵转换为Fritzsch-Xing（FX）参数化，通过将矩阵元素第三行和第三列的论证简化实现。进一步分析了在近似U_{13}^e=0的情况下，FX相位δ_{FX}的重新相位不变结构。当进一步近似U_{23}^e=0时，FX相位简化为中微子内在FX相位δ^ν_{FX}和轻子1-2代间相对相位ρ'_{1}-ρ'_{2}的贡献之和。对于有限的U_{23}^e，相位δ_{FX}被理解为紧凑表达的推广。这一结果涵盖了几乎所有关于CKM和MNS矩阵的CP相位的扰动计算，特别是具有分层电荷费米子的情况。
英文摘要：
In this paper, we construct an explicit rephasing transformation that converts an arbitrary unitary mixing matrix into the Fritzsch--Xing (FX) parametrization, which is obtained by trivializing arguments of the matrix elements in the third row and third column. We further analyze rephasing invariant structure of the FX phase $δ_{\rm FX}$ under an approximation $U_{13}^{e} = 0$, where the 1-3 element of the diagonalization matrix of charged leptons $U^{e}$ is neglected. With an additional approximation $U_{23}^{e} = 0$, the FX phase becomes highly simplified, reducing to a sum of the neutrino-intrinsic FX phase $δ^ν_{\rm FX}$ and the contribution from the relative phase $ρ'_{1}- ρ'_{2}$ between the lighter 1-2 generations. The phase $δ_{\rm FX}$ for finite $U_{23}^{e}$ is understood as a generalization of the compact expression. This result covers almost all perturbative calculations of CP phases for the CKM and MNS matrices with hierarchical charged fermions.
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