Calculating three-loop diagrams in Heavy Quark Effective Theory with integration-by-parts recurrence relations

Abstract

An algorithm for calculation of three-loop propagator diagrams in HQET, based on integration-by-parts recurrence relations, is constructed and implemented as a REDUCE package Grinder, and in Axiom.

Comments: LaTeX2e (JHEP documentclass), 33 pages, 13 eps figures included. The complete paper is also available via the www at http://www-ttp.physik.uni-karlsruhe.de/Preprints/ V2: bug fixes in formulas, improvements of the algorithm, some restructuring. REDUCE package Grinder is available at http://www-ttp.physik.uni-karlsruhe.de/Progdata/ttp00/ttp00-01/