Numerical integration and extrapolation for finite and UV-divergent 3-loop Feynman integrals
Numerical integration and extrapolation for finite and UV-divergent 3-loop Feynman integrals
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有限和 UV 发散 3 环费曼积分的数值积分和外推
DOI：
10.1088/1742-6596/920/1/012005
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Ishikawa T
中科院分区：
文献类型：
--
作者：
de Doncker E;Yuasa F;Kato K;Ishikawa T
自动数值积分试图减轻解决问题的方法的详细应用。我们使用自动多元集成与PARINT结合数值外推类的3圈UV发散自能图与大量的内部线路，有限或UV发散无质量顶点图。相对于维度正则化参数执行外推。结果表明，PARINT软件处理的集成准确和有效。
Automatic numerical integration attempts to alleviate the detailed application of solution methods to the problem. We use automatic multivariate integration with PARINT combined with numerical extrapolation for classes of 3-loop UV-divergent self-energy diagrams with massive internal lines, and finite or UV-divergent massless vertex diagrams. The extrapolation is performed with respect to the dimensional regularization parameter. It is shown that the PARINT software handles the integrations accurately and efficiently.