English

Zero-threshold expansion of two-loop self-energy diagrams

High Energy Physics - Phenomenology 2009-10-28 v1

Abstract

An algorithm is constructed to derive a small momentum expansion for two-loop two-point diagrams in all cases where, due to the presence of physical thresholds, there are singularities at zero external momentum. The coefficients of this ``zero-threshold'' expansion are calculated analytically for arbitrary masses. Numerical examples, using diagrams occurring in the Standard Model, illustrate the convergence of the expansion below the first non-zero threshold.

Keywords

Cite

@article{arxiv.hep-ph/9410232,
  title  = {Zero-threshold expansion of two-loop self-energy diagrams},
  author = {F. A. Berends and A. I. Davydychev and V. A. Smirnov and J. B. Tausk},
  journal= {arXiv preprint arXiv:hep-ph/9410232},
  year   = {2009}
}

Comments

24 pages latex with 17 postscript figures. A complete postscript file is available by anonymous ftp from 129.177.40.57 [anonymous.davydychev]leiden15-94.ps. Leiden/Durham preprint INLO-PUB-15/94, DTP-94/86

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