期刊
NUCLEAR PHYSICS B
卷 585, 期 3, 页码 741-759出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0550-3213(00)00429-6
关键词
multi-loop; perturbative calculations; infrared divergence
We describe a constructive procedure to separate overlapping infrared divergences in multi-loop integrals. Working with a parametric representation in D = 4 - 2 epsilon dimensions, adequate subtractions lead to a Laurent series in epsilon, where the coefficients of the pole and finite terms are sums of regular parameter integrals which can be evaluated numerically. We fully automatized this algorithm by implementing it into algebraic manipulation programs and applied it to calculate numerically some nontrivial 2-loop 4-point and 3-loop 3-point Feynman diagrams. Finally, we discuss the applicability of our method to phenomenologically relevant multi-loop calculations such as the NNLO QCD corrections for e(+)e(-) --> 3 jets. (C) 2000 Elsevier Science B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据