Calculating four-loop massless propagators with Forcer

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

物理学;计算机科学

Ueda, T.^1 ; Ruijl, B.^1,2 ; Vermaseren, J.A.M.^1

Nikhef Theory Group, Science Park 105, XG Amsterdam

1098, Netherlands^1

Leiden University, Niels Bohrweg 1, CA Leiden

2333, Netherlands^2

关键词: Automatically generated;    Computer assisted;    Feynman integrals;    Four-loop level;    New forms;    Program structures;    Recomputation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/762/1/012060/pdf
DOI  :  10.1088/1742-6596/762/1/012060

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

We present Forcer, a new FORM program for the calculation of four-loop massless propagators. The basic framework is similar to that of the Mincer program for three-loop massless propagators: the program reduces Feynman integrals to a set of master integrals in a parametric way. To overcome an ineludible complexity of the program structure at the four-loop level, most of the code was automatically generated or made with computer-assisted derivations. Correctness of the program has been checked with the recomputation of some quantities in the literature.