Generalizations of polylogarithms for Feynman integrals

17th International Workshop on Advanced Computing and Analysis Techniques in Physics Research

物理学;计算机科学

Bogner, Christian^1

Institut für Physik, Humboldt-Universität zu Berlin, Berlin

D -10099, Germany^1

关键词: Feynman integrals;    Maple programs;    Multi-loops;    Polylogarithms;    Recent progress;    Symbolic computation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/762/1/012067/pdf
DOI  :  10.1088/1742-6596/762/1/012067

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

In this talk, we discuss recent progress in the application of generalizations of polylogarithms in the symbolic computation of multi-loop integrals. We briefly review the Maple program MPL which supports a certain approach for the computation of Feynman integrals in terms of multiple polylogarithms. Furthermore we discuss elliptic generalizations of polylogarithms which have shown to be useful in the computation of the massive two-loop sunrise integral.