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Calculation of Feynman diagrams from their small momentum expansion

  • Theoratical Physics
  • Published:
Zeitschrift für Physik C Particles and Fields

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.

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Author notes

  1. O. V. Tarasov

    Present address: Joint Institute for Nuclear Research, Dubna, 101 000, Moscow, Russia

Authors and Affiliations

  1. Fakultät für Physik, Universität Bielefeld, D-33615, Bielefeld, Germany

    J. Fleischer & O. V. Tarasov

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  1. J. Fleischer
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Supported by Bundesministerium für Forschung und Technologie

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Fleischer, J., Tarasov, O.V. Calculation of Feynman diagrams from their small momentum expansion. Z. Phys. C - Particles and Fields 64, 413–425 (1994). https://doi.org/10.1007/BF01560102

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  • DOI: https://doi.org/10.1007/BF01560102

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