Non-planar Feynman diagrams and Mellin-Barnes representations with AMBRE 3.0

16th International workshop on Advanced Computing and Analysis Techniques in physics research

物理学;计算机科学

Dubovyk, Ievgen^1 ; Gluza, Janusz^2 ; Riemann, Tord^3

Institute of Electrophysics and Radiation Technologies, Chernyshevsky st. 28, Kharkiv

61002, Ukraine^1

Institute of Physics, University of Silesia, Uniwersytecka 4, Katowice

40007, Poland^2

Königs Wusterhausen

15711, Germany^3

关键词: Feynman diagrams;    Feynman integrals;    Mathematica packages;    New results;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/608/1/012070/pdf
DOI  :  10.1088/1742-6596/608/1/012070

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

We introduce the Mellin-Barnes representation of general Feynman integrals and discuss their evaluation. The Mathematica package AMBRE has been recently extended in order to cover consistently non-planar Feynman integrals with two loops. Prospects for the near future are outlined. This write-up is an introduction to new results which have also been presented elsewhere.