Calculation of Feynman Diagrams from their Small Momentum Expansion

Abstract

A new powerful method to calculate Feynman diagrams is proposed. It consists in setting up a Taylor series expansion in the external momenta squared (in general multivariable). The Taylor coefficients are obtained from the original diagram by differentiation and putting the external momenta equal to zero, which means a great simplification. It is demonstrated that it is possible to obtain by analytic continuation of the original series high precision numerical values of the Feynman integrals in the whole cut plane. For this purpose conformal mapping and subsequent resummation by means of Padé approximants or Levin transformation are applied.

21 pages, Bielefeld Unviersity preprint BI-TP %%93-78

References in corpus (5)

• Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension
• Two-Photon Decay Widths of Higgs Particles
• Reduction of general two-loop self-energies to standard scalar integrals
• Higgs - Two Photon Decay: QCD radiative correction
• Large momentum expansion of two-loop self-energy diagrams with arbitrary masses

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