Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass

Preprint

29 December 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/9512442

Abstract

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.

Keywords

RECURRENCE RELATIONS
COMPUTER PROGRAMS
BUBBLE DIAGRAMS
MASS RECURRENCE
LOOP PROTOTYPES
ALGORITHMS
INTEGRALS
QCD

All Related Versions

Version 1, 1995-12-29, ArXiv
Published version: Computer Physics Communications, 98 (1-2), 15.

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