Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations

Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations
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量子场论中的二环顶点：红外收敛标量配置

DOI：
10.1016/j.nuclphysb.2003.12.016
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发表时间：
2003
期刊：
Nuclear Physics
影响因子：
--
通讯作者：
S. Uccirati
S. Uccirati
中科院分区：
--
文献类型：
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作者：
Andrea Ferroglia;Andrea Ferroglia;Massimo Passera;Massimo Passera;Massimo Passera;G. Passarino;S. Uccirati

文献摘要

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本文对具有三个外支的一般大质量、标量、双环费曼图进行了全面的研究。介绍和讨论了它们的数值评估算法，显示了所有不同拓扑的数值结果，并在可用的情况下与分析结果进行了比较。基于备选程序的内部交叉检查也被应用。红外发散构型的分析，以及张量积分的处理，将在接下来的两篇论文中讨论。
A comprehensive study is performed of general massive, scalar, two-loop Feynman diagrams with three external legs. Algorithms for their numerical evaluation are introduced and discussed, numerical results are shown for all different topologies and comparisons with analytical results, whenever available, are performed. An internal cross-check, based on alternative procedures, is also applied. The analysis of infrared divergent configurations, as well as the treatment of tensor integrals, will be discussed in two forthcoming papers.