论文标题

多腿QCD振幅的红外奇异性在三个循环中具有巨大的parton

Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops

论文作者

Liu, Ze Long, Schalch, Nicolas

论文摘要

我们得出了QCD振幅的红外奇异性的三环异常尺寸的结构,其中一个巨大的和任意数量的无质量外部部分。详细研究了Tripole和四极相关的贡献。首次以三个循环获得了一个巨大和两个无质量的部分之间三核相关性的分析表达。我们在一种新方法中使软基质元素中的红外差异正常,在这种方法中不涉及额外的比例依赖性,并且可以在动量空间中进行计算。我们的结果对于改善强子山脉的单上顶和顶部夸克对制作的理论预测至关重要。

We derive the structure of three-loop anomalous dimensions governing infrared singularities of QCD amplitudes with one massive and an arbitrary number of massless external partons. The contributions of tripole and quadrupole correlations involving a massive parton are studied in details. The analytical expression of tripole correlations between one massive and two massless partons is obtained at three loops for the first time. We regularize the infrared divergences in the soft matrix element in a novel approach, where no extra scale dependence is involved, and the calculation can be performed in momentum space. Our results are essential to improve the theoretical predictions of single top and top quark pair productions at hadron colliders.

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