论文标题
通过串联扩展对Feynman积分的评估
Evaluation of Feynman integrals with arbitrary complex masses via series expansions
论文作者
论文摘要
我们提出了一种算法，用于评估具有任意数量的内部质量线的Multiloop Feynman积分，其中质量是一般的复杂值，以及其在\ textsc {Mathematica} package \ textsc {seasyde}中的实现。该实现通过系列扩展解决了主积分满足的微分方程系统。在其他现有代码方面，溶液的分析延续是在与每个运动学不变性相关的复杂平面中执行的。我们介绍了与NNLO QCD-EW校正与中性电流drell-Yan过程相关的主积分评估的结果。
We present an algorithm to evaluate multiloop Feynman integrals with an arbitrary number of internal massive lines, with the masses being in general complex-valued, and its implementation in the \textsc{Mathematica} package \textsc{SeaSyde}. The implementation solves by series expansions the system of differential equations satisfied by the Master Integrals. At variance with respect to other existing codes, the analytical continuation of the solution is performed in the complex plane associated to each kinematical invariant. We present the results of the evaluation of the Master Integrals relevant for the NNLO QCD-EW corrections to the neutral-current Drell-Yan processes.
