Algebraic algorithms for multiloop calculations - The first 15 years. What's next?

被引：44

作者：

Tkachov, FV

机构：

[1] Inst. Nucl. Res. Russ. Acad. of Sci., INR RAS

来源：

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 1997年 / 389卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

multiloop integrals; algebraic algorithms; Feynman parameters; symbolic calculations; dimensional regularization;

D O I：

10.1016/S0168-9002(97)00110-1

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

The ideas behind the concept of algebraic (''integration-by-parts'') algorithms for multiloop calculations are reviewed. For any topology and mass pattern, a finite iterative algebraic procedure is proved to exist which transforms the corresponding Feynman-parametrized integrands into a form that is optimal for numerical integration, with all the poles in D-4 explicitly extracted.

引用

页码：309 / 313

页数：5

共 26 条

[1]

BAIKOV PA, INP9611418

[2] APPLICATIONS OF ALGEBRAIC MANIPULATION PROGRAMS IN PHYSICS [J].