论文标题
倍顿网超出三个循环
Multiparton webs beyond three loops
论文作者
论文摘要
威尔逊线运营商的相关因子是研究非亚伯仪理论的红外特性的基本要素。在扰动理论中，已知它们可以指出，并且它们的对数可以根据名为Web的Feynman图的集合来组织。我们研究将网的分类到高扰动订单，提出了一组工具来递归生成它们：尤其是，我们介绍了CWEB的概念或相关器Web的概念，该概念是使用连接的Gluon相关器构建的一组骨架图，而不是单个Feynman图。作为一种应用，我们枚举所有CWEB，进入四个环的多方散射幅度，以输入软异常的尺寸矩阵，并计算所有在该循环顺序连接四个或五个Wilson线路的CWEB的混合矩阵，以验证他们遵守在文献中衍生或思考的规则。我们的结果为以四环阶的计算计算软异常尺寸矩阵提供了颜色构建块。
Correlators of Wilson-line operators are fundamental ingredients for the study of the infrared properties of non-abelian gauge theories. In perturbation theory, they are known to exponentiate, and their logarithm can be organised in terms of collections of Feynman diagrams called webs. We study the classification of webs to high perturbative orders, proposing a set of tools to generate them recursively: in particular, we introduce the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, instead of individual Feynman diagrams. As an application, we enumerate all Cwebs entering the soft anomalous dimension matrix for multi-parton scattering amplitudes at four loops, and we compute the mixing matrices for all Cwebs connecting four or five Wilson lines at that loop order, verifying that they obey sum rules that were derived or conjectured in the literature. Our results provide the colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.
