Application of conformal mapping and Padé approximants $(ω P's)$ to the calculation of various two-loop Feynman diagrams

Details Application of conformal mapping and Padé approximants $(ω P's)$ to the calculation of various two-loop Feynman diagrams Application of conformal mapping and Padé approximants $(ω P's)$ to the calculation of various two-loop Feynman diagrams

1994-07-06

arxiv.org/abs/hep-ph/9407235v1

Nucl.Phys.Proc.Suppl. 37B (1994) 115-119

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, University of Bielefeld preprint BI-TP-94/35, To appear in Nucl.Phys.B (Proceedings Supplements)

Scientific paper

10.1016/0920-5632(94)90666-1

Feynman diagrams are calculated by means of their Taylor series expansion in terms of external momenta squared. It is demonstrated in various examples that by the application of conformal mapping and Pad\'{e} approximants, it is possible to obtain high precision results in the spacelike as well as in the timelike region on the cut. Examples are given for two- and three-point functions, but in principle the method is applicable also to four-point functions.

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