多部分子振幅中的三圈以外的Cwebs
Cwebs beyond three loops in multiparton amplitudes
摘要：
在非阿贝尔规范理论中，威尔逊线算符的相关子是指数化的，它们的图可以用费曼图的集合来组织，称为网。在[1]中，我们引入了Cweb或相关网的概念，它是一组由连接的胶子构成的骨架图，并计算了所有连接四个或五个Wilson线的Cweb在四个环上的混合矩阵。在这里，我们完成了四回路混合矩阵的评估，提出了所有Cwebs连接两个和三个威尔逊线的结果。我们观察到，共轭列和规则是遵守所有的混合矩阵，出现在四个循环。我们还展示了如何低维混合矩阵可以唯一地确定从他们已知的组合性质，并提供了一些所有的顺序结果，为选定的混合矩阵类。我们的研究结果完成了所需的颜色积木的软异常尺寸矩阵的计算在四个循环的顺序。
英文摘要：
Correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In [1] we introduced the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, and we computed the mixing matrices for all Cwebs connecting four or five Wilson lines at four loops. Here we complete the evaluation of four-loop mixing matrices, presenting the results for all Cwebs connecting two and three Wilson lines. We observe that the conjuctured column sum rule is obeyed by all the mixing matrices that appear at four-loops. We also show how low-dimensional mixing matrices can be uniquely determined from their known combinatorial properties, and provide some all-order results for selected classes of mixing matrices. Our results complete the required colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.
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