论文标题
在4环及以后的大型倍变振幅的解密颜色构建块
Deciphering Colour Building Blocks of Massive Multiparton Amplitudes at 4-loops and beyond
论文作者
论文摘要
非亚伯仪理论中的软功能指数及其对数可以通过称为CWEB的Feynman图的集合来组织。对数中出现的颜色因子由Web混合矩阵控制。最近在〜\ cite {agarwal：20222wyk}中进行了基础CWEB和Fused-Web的新概念，直接构建CWEB的对角线块。在本文中，我们在〜\ cite {gardi：2021gzz}和非Boomerang CWEB中引入的Boomerang网络之间建立了对应关系。我们将这种对应关系与唯一性定理和融合的Web形式主义一起使用，以〜\ cite {agarwal：2022wyk}引入，以获取四个通用类CWEB的对角线块，以覆盖所有四个Loop Boomerang CWebs在四个Loop Boomerang Cwebs中连接四个Wilson系列。我们还将特殊CWEB的混合矩阵完全构建到扰动理论中的所有订单。
The soft function in non-abelian gauge theories exponentiate, and their logarithms can be organised in terms of the collections of Feynman diagrams called Cwebs. The colour factors that appear in the logarithm are controlled by the web mixing matrices. Direct construction of the diagonal blocks of Cwebs using the new concepts of Normal ordering, basis Cweb and Fused-Web was recently carried out in~\cite{Agarwal:2022wyk}. In this article we establish correspondence between the boomerang webs introduced in ~\cite{Gardi:2021gzz} and non-boomerang Cwebs. We use this correspondence together with Uniqueness theorem and Fused web formalism introduced in ~\cite{Agarwal:2022wyk} to obtain the diagonal blocks of four general classes of Cwebs to all orders in perturbation theory which also cover all the four loop Boomerang Cwebs connecting four Wilson lines. We also fully construct the mixing matrix of a special Cweb to all orders in perturbation theory.
