论文标题
CKM子结构从弱到普朗克量表
CKM substructure from the weak to the Planck scale
论文作者
论文摘要
我们寻找CKM矩阵元素之间的关系，这些元素不是Wolfenstein参数化的后果。特别是，我们搜索提高到大约$ 1 $的Integer Powers的CKM元素的产品。我们研究CKM矩阵元素的运行，并解决文献中明显的差异。在Wolfenstein参数中，只有$ a $运行的近似值。使用标准模型的重新归一化组，我们在能量尺度上寻找CKM关系，范围从电动量表到Planck量表，我们发现了19个这样的关系。这些关系可能指向紫外线中的结构，也可以是数值事故。例如，我们发现$ | V_ {TD} V_ {US} | = | v_ {cb}^2 | $，在$ 2 \％$准确度中，在$ 10^9 $ - $ 10^{15} $ GEV范围内。我们讨论了这种CKM关系对紫外线中Yukawa纹理的含义。
We look for relations among CKM matrix elements that are not consequences of the Wolfenstein parametrization. In particular, we search for products of CKM elements raised to integer powers that approximately equal $1$. We study the running of the CKM matrix elements and resolve an apparent discrepancy in the literature. To a good approximation only $A$ runs, among the Wolfenstein parameters. Using the Standard Model renormalization group we look for CKM relations at energy scales ranging from the electroweak scale to the Planck scale, and we find 19 such relations. These relations could point to structure in the UV, or be numerical accidents. For example, we find that $| V_{td} V_{us} | = | V_{cb}^2 |$, within $2\%$ accuracy, in the $10^9$-$10^{15}$ GeV range. We discuss the implications of this CKM relation for a Yukawa texture in the UV.
