English

Techniques for Calculating two-loop Diagrams

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

Methods developed by the Bielefeld-DESY-Dubna collaboration in recent years are: DIANA (DIagram ANAlyser), a program to produce ``FORM input'' for Feynman diagrams, starting from the Feynman rules; methods to calculate scalar diagrams: Taylor expansion in small momenta squared in connection with a mapping and the Pad\'{e} method to sum the series. Recently program packages for the large mass expansion were written and applied to the ZbbˉZ \to b\bar{b} decay. Reviews of these activities were presented in the proceedings of the Ustro\'{n} '97 and Rheinsberg '98 conferences. Here we concentrate on recent developements in the large mass expansion, applied to the two-loop contribution of the ZbbˉZ \to b\bar{b} decay in the mb=0m_b=0 approximation, taking into account higher order terms of the expansion in MW2/mt2M_W^2/m_t^2.

Keywords

Cite

@article{arxiv.hep-ph/9901402,
  title  = {Techniques for Calculating two-loop Diagrams},
  author = {J. Fleischer and O. L. Veretin},
  journal= {arXiv preprint arXiv:hep-ph/9901402},
  year   = {2007}
}

Comments

LaTeX, 7 pages, 3 eps figures, Presented at the conference RADCOR98 (Barcelona, Catalonia, Spain, 8-12 Sept. 1998)