Recurrence relations for three-loop prototypes of bubble diagrams with a mass

被引：65

作者：

Avdeev, LV

机构：

[1] Bogoliubov Lab. of Theor. Physics, Joint Institute for Nuclear Research, Dubna

来源：

COMPUTER PHYSICS COMMUNICATIONS | 1996年 / 98卷 / 1-2期

关键词：

recurrence relations; massive Feynmann integrals; analytical evaluation of 3-loop radiative corrections; FEYNMAN DIAGRAMS; RHO-PARAMETER; RENORMALIZATION; INTEGRATION;

D O I：

10.1016/0010-4655(96)00090-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Recurrence relations derived via the Chetyrkin-Tkachov method of integration by parts are applied to reduce scalar three-loop bubble (vacuum) diagrams with a mass to a limited number of master integrals. The reduction is implemented as a package of computer programs for analytic evaluation in FORM. The algorithms are applicable to diagrams with any integer powers on the lines in an arbitrary dimension. A physical application is the evaluation of the three-loop QCD correction to the electroweak rho parameter.

引用

页码：15 / 19

页数：5

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