Cuts from residues: the one-loop case
Cuts from residues: the one-loop case
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从残留物中切割：单循环案例
DOI：
10.1007/jhep06(2017)114
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发表时间：
2017
影响因子：
5.4
通讯作者：
E. Gardi
中科院分区：
文献类型：
--
作者：
S. Abreu;R. Britto;C. Duhr;E. Gardi
摘要利用Leray的多元剩馀演算，给出了一维正则化中切费曼积分的精确定义，即在某些传播子被放在壳上的变异上的剩馀。这些自然与第一类朗道奇点有关。在单环情况下，我们给出了计算这类切积分的显式参数化方法，研究了它们的一些性质，并列出了极大切和次极大切的显式结果。通过对同调群的分析，证明了第二类朗道奇点相关的切积分是一般切积分的特定组合，并得到了同一积分的不同切积分之间的线性关系。我们还证明了所有的单环费曼积分及其切割都属于同一类函数，这类函数可以写成参数积分。
A bstractUsing the multivariate residue calculus of Leray, we give a precise definition of the notion of a cut Feynman integral in dimensional regularization, as a residue evaluated on the variety where some of the propagators are put on shell. These are naturally associated to Landau singularities of the first type. Focusing on the one-loop case, we give an explicit parametrization to compute such cut integrals, with which we study some of their properties and list explicit results for maximal and next-to-maximal cuts. By analyzing homology groups, we show that cut integrals associated to Landau singularities of the second type are specific combinations of the usual cut integrals, and we obtain linear relations among different cuts of the same integral. We also show that all one-loop Feynman integrals and their cuts belong to the same class of functions, which can be written as parametric integrals.
影响因子：
5.4
作者：
Abreu S
通讯作者：
Abreu S