论文标题

CKM子结构

CKM Substructure

论文作者

Grossman, Yuval, Ruderman, Joshua T.

论文摘要

CKM矩阵不是通用的。 Wolfenstein参数化通过具有一个小参数($λ\约0.22 $)来编码结构。我们提出了一个问题:CKM矩阵中是否存在超出Wolfenstein参数化的单个小参数的子结构?我们发现两个近似满足的关系:$ | v_ {td} |^2 = | v_ {cb} |^3 $和$ | v_ {ub} |^2 |^2 | v_ {us} | = | v_ {cb} |^4 $。我们讨论了这些关系的统计意义,发现它们可能表明CKM矩阵中的更深层结构。但是,当前的精度不能排除$ \ MATHCAL {O}(10 \%)$事故。

The CKM matrix is not generic. The Wolfenstein parametrization encodes structure by having one small parameter, $λ\approx 0.22$. We pose the question: is there substructure in the CKM matrix that goes beyond the single small parameter of the Wolfenstein parameterization? We find two relations that are approximately satisfied: $|V_{td}|^2 = |V_{cb}|^3$ and $|V_{ub}|^2 |V_{us}| = |V_{cb}|^4$. We discuss the statistical significance of these relations and find that they may indicate deeper structure in the CKM matrix. The current precision, however, cannot exclude an $\mathcal{O}(10 \%)$ accident.

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