论文标题
建立第二个$ b $ - 最受欢迎的CKM Unitarity Triangle
Towards establishing the second $b$-flavored CKM unitarity triangle
论文作者
论文摘要
双$ b $ b $最喜欢的单位性三角形之间的一些细微差异是通过CKM矩阵的广义Wolfenstein参数化计算得出的，并简要讨论了实验建立第二个三角形的可能性。我们发现，这两个三角形的顶点分别为$（\overlineρ，\overlineη）$和$（\widetildeρ，\widetildeη）$，位于复杂平面的同一圆弧上。该观察结果为我们提供了一种新的方法来测试夸克部门中CP违规的CKM图片的一致性，并探究了可能的新物理学。 The differences between the apexes (i.e., $\widetildeρ - \overlineρ$ and $\widetildeη - \overlineη$) are found to be of ${\cal O}(λ^2)$ with $λ\simeq 0.22$ being the Wolfenstein expansion parameter, and the shapes of these two triangles are found to be insensitive to the two-loop重量级化组方程运行效果至$ {\ cal o} \ left（λ^4 \ right）$的精度。
Some fine differences between the twin $b$-flavored unitarity triangles are calculated by means of a generalized Wolfenstein parametrization of the CKM matrix, and a possibility of experimentally establishing the second triangle is briefly discussed. We find that the apexes of these two triangles, characterized respectively by $(\overlineρ, \overlineη)$ and $(\widetildeρ, \widetildeη)$, are located on the same circular arc in the complex plane. This observation provides us with a new way to test consistency of the CKM picture of CP violation in the quark sector and probe possible new physics. The differences between the apexes (i.e., $\widetildeρ - \overlineρ$ and $\widetildeη - \overlineη$) are found to be of ${\cal O}(λ^2)$ with $λ\simeq 0.22$ being the Wolfenstein expansion parameter, and the shapes of these two triangles are found to be insensitive to the two-loop renormalization-group-equation running effects up to the accuracy of ${\cal O}\left(λ^4\right)$.
