We revisit the Next-to-Leading Order (two-loop) contributions to the Anomalous Dimensions of ∆F = 1 four-quark operators in QCD. We devise a test for anomalous dimensions, that we regard as of general interest, and by means of which we detect a problem in the results available in the literature. Deconstructing the steps leading to the available result, we identify the source of the problem, which is related to the operator known as Q₁₁. We show how to fix the problem and provide the corrected anomalous dimensions. With the insight of our findings, we propose an alternative approach to the one used in the literature which does not suffer from the identified disease, and which confirms our corrected results. We assess the numerical impact of our corrections, which happens to be in the ballpark of 5% in certain entries of the evolution matrix. Our results are important for the correct resummation of Next-to-Leading Logarithms in analyses of physics beyond the Standard Model in ∆F = 1 processes, such as the decays of Kaons and B-mesons.

我们重新审视 QCD 中 Δ F = 1 四夸克算子的反常维度的次前序（二环）贡献。我们设计了一种针对异常维度的测试，我们认为这是普遍感兴趣的，通过它我们可以检测文献中可用结果中的问题。解构导致可用结果的步骤，我们确定了问题的根源，这与称为Q _{11 的}运算符有关。我们展示了如何解决问题并提供修正后的异常尺寸。根据我们的发现，我们提出了一种替代文献中使用的方法，该方法不会患有已识别的疾病，并且证实了我们的纠正结果。我们评估了修正的数值影响，在演化矩阵的某些条目中，该影响恰好在 5% 左右。我们的结果对于在 Δ F = 1 过程（例如 Kaons 和B介子的衰变）中超出标准模型的物理分析中正确恢复次领先对数非常重要。