Renormalization group evolution of the CKM matrix

Renormalization group evolution of the CKM matrix
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CKM 矩阵的重整化群演化

DOI:
10.1007/s100529900040
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发表时间:
1999
期刊:
The European Physical Journal C - Particles and Fields
影响因子:
--
通讯作者:
B. Plümper
B. Plümper
中科院分区:
--
文献类型:
--
作者:
C. Balzereit;T. Hansmann;T. Mannel;B. Plümper

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抽象的。我们计算了完全CKM矩阵在$overline{MS}方案中的重整化,并对CKM参数进行了重整化群分析。通过只研究希格斯扇区,简化了计算,对于CKM矩阵的$\β$-函数,它与完整的标准模型在一个循环中相同。包含QCD修正的重整化群流可以利用CKM参数的层次结构和夸克之间的大质量差来解析地计算。当Cabibbo角的演化很小时,$V_{ub}$和$V_{cb}$有较大的增加。我们将我们的结果与完整的标准模型中的结果进行比较。
Abstract. We compute the renormalization of the complete CKM matrix in the $\overline{MS}$ scheme and perform a renormalization group analysis of the CKM parameters. The calculation is simplified by studying only the Higgs sector, which for the $\beta$-function of the CKM matrix is at one loop the same as in the full Standard Model. The renormalization group flow including QCD corrections can be computed analytically using the hierarchy of the CKM parameters and the large mass differences between the quarks. While the evolution of the Cabibbo angle is tiny $V_{ub}$ and $V_{cb}$ increase sizably. We compare our results with the ones in the full Standard Model.