Framework for a novel mixed analytical/numerical approach for the computation of two-loop N-point Feynman diagrams

被引：3

作者：

Guillet, J. Ph ^{[1
]}

Pilon, E. ^{[1
]}

Shimizu, Y. ^{[2
]}

Zidi, M. S. ^{[3
]}

机构：

[1] Univ Grenoble Alpes, Univ Savoie Mt Blanc, CNRS, LAPTH, F-74000 Annecy, France

[2] KEK, Oho 1-1, Tsukuba, Ibaraki 3050801, Japan

[3] Univ Jijel, LPTh, BP 98 Ouled Aissa, Jijel 18000, Algeria

来源：

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS | 2020年 / 2020卷 / 04期

关键词：

SINGULARITIES; RESOLUTION;

D O I：

10.1093/ptep/ptaa020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A framework to represent and compute two-loop N-point Feynman diagrams as double-integrals is discussed. The integrands are "generalised one-loop type" multi-point functions multiplied by simple weighting factors. The final integrations over these two variables are to be performed numerically, whereas the ingredients involved in the integrands, in particular the "generalised one-loop type" functions, are computed analytically. The idea is illustrated on a few examples of scalar three- and four-point functions.

引用

页数：23

共 11 条

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