现代多回路计算的工具箱：新的分析和半分析技术
The toolbox of modern multi-loop calculations: novel analytic and semi-analytic techniques
摘要：
我们描述了三个算法的计算机辅助符号多循环计算，促进了一些最近的新成果。首先，我们讨论了一个算法，以获得一个任意的费曼积分的标准形，以方便他们的识别。其次，我们提出了一个实用的解决方案，多圈分析张量约化的问题。最后讨论了变量间具有外线性关系的多项式的部分分式。所有的算法都经过了测试，并在实际计算中使用。
英文摘要：
We describe three algorithms for computer-aided symbolic multi-loop calculations that facilitated some recent novel results. First, we discuss an algorithm to derive the canonical form of an arbitrary Feynman integral in order to facilitate their identification. Second, we present a practical solution to the problem of multi-loop analytical tensor reduction. Finally, we discuss the partial fractioning of polynomials with external linear relations between the variables. All algorithms have been tested and used in real calculations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
