On the new method of computing two-loop massive diagrams

1994/10/20 by Andrzej Czarnecki, Czarnecki, Andrzej
Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum and Classical Electrodynamics #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9410332

8 pages, latex, uses epsf, a complete postscript file, including figures, is available via anonymous ftp at ttpux2.physik.uni-karlsruhe.de (129.13.102.139) as /ttp94-21/ttp94-21.ps, Local preprint number TTP 94-21

arxiv created 1994/10/20 · openalex publication_date 1994/10/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A recently proposed method of calculating scalar two-loop propagator and vertex functions with massive particles is illustrated with simple examples. A double integral representation is derived with the example of a propagator function. An analogous representation is used to compute the vertex function for space-like external momenta. Ways of dealing with divergent diagrams and of controlling the accuracy of the numerical evaluation of the two-loop functions are also discussed.

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