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.

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/

References in corpus (2)

• The three loop slope of the Dirac form factor and the 1S Lamb shift in hydrogen
• The criterion of irreducibility of multi-loop Feynman integrals

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• Asymptotics of the perturbative series for f_{B^*}/f_B
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• Four-loop HQET propagators from the DRA method
• Multiloop calculations in HQET
• Three-loop jet function for boosted heavy quarks
• Correlators of heavy-light quark currents in HQET: OPE at three loops
• Three-loop results in HQET