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Calculating three-loop diagrams in heavy quark effective theory with integration-by-parts recurrence relations

2000/02/29 by Andrey Grozin, A. G. Grozin · 28 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Applied mathematics #Axiom #Combinatorics #Computer science #Geometry #High-Energy Particle Collisions Research #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Propagator #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Recurrence relation #hep-ph

paper · pdf · doi:10.1088/1126-6708/2000/03/013

published in Journal of High Energy Physics 2000(03), 013 (Springer Nature) · 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/

openalex publication_date 2000/03/08 · arxiv created 2000/08/14 · arxiv updated 2011/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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