论文标题
NLO QCD重新归一化组的进化，用于smeft中的非lectonic $Δf= 2 $过渡
NLO QCD Renormalization Group Evolution for Non-Leptonic $ΔF=2$ Transitions in the SMEFT
论文作者
论文摘要
我们首次提出了标准模型有效场理论（SMEFT）中非leptonic $ΔF= 2 $转换的NLO QCD重新归一化组（RG）进化矩阵。为此，我们首先将已知的BSM操作员的已知两环QCD异常尺寸矩阵（ADM）转换为所谓的BMU基础，以共同的弱有效理论（湿）（所谓的JMS基础）中的树级和一环与SMEFT匹配的公共弱有效理论（所谓的JMS基础）中的BSM运算符。这使我们随后可以在华沙为SMEFT非lectonic $ΔF= 2 $运算符找到两环QCD ADMS。拥有所有这些成分，我们研究了这些NLO QCD对非副本$ΔF= 2 $转变的SMEFT WILSON系数的QCD RG演变的影响，从新物理量表$λ$向下到电动eakeak scale $μ__\文本{ew} $。这些新贡献的主要好处是，它们允许删除湿与SMEFT之间以及SMEFT和SMEFT和所选紫外线完成之间的一环匹配中存在的重新规定方案依赖性。但是，在NDR方案中在此处计算出的NLO QCD效应在几个百分之几的球场中很小，但仅考虑$ΔF= 2 $ operators时。本文中开发的技术允许从BMU基础的SMEFT中获得ADMS，也可以针对非律师$ΔF= 1 $衰减获得，并且此相关分析的结果将很快在另一份出版物中介绍。
We present for the first time NLO QCD Renormalization Group (RG) evolution matrices for non-leptonic $ΔF=2$ transitions in the Standard Model Effective Field Theory (SMEFT). To this end we transform first the known two-loop QCD anomalous dimension matrices (ADMs) of the BSM operators in the so-called BMU basis into the ones in the common Weak Effective Theory (WET) basis (the so-called JMS basis) for which tree-level and one-loop matching to the SMEFT are already known. This allows us subsequently to find the two-loop QCD ADMs for the SMEFT non-leptonic $ΔF=2$ operators in the Warsaw basis. Having all these ingredients we investigate the impact of these NLO QCD effects on the QCD RG evolution of SMEFT Wilson coefficients for non-leptonic $ΔF=2$ transitions from the new physics scale $Λ$ down to the electroweak scale $μ_\text{ew}$. The main benefit of these new contributions is that they allow to remove renormalization scheme dependences present both in the one-loop matchings between the WET and SMEFT and also between SMEFT and a chosen UV completion. But the NLO QCD effects, calculated here in the NDR scheme, turn out to be small, in the ballpark of a few percent but larger than one-loop Yukawa top effects when only the $ΔF=2$ operators are considered. The technology developed in our paper allows to obtain the ADMs in the SMEFT from the ones of the BMU basis also for non-leptonic $ΔF=1$ decays and the results of this more involved analysis will be presented soon in another publication.
