AN ALGORITHM FOR SMALL MOMENTUM EXPANSION OF FEYNMAN DIAGRAMS

1995/05/11 by O.V. Tarasov, TARASOV, O. V.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.hep-ph/9505277

openalex publication_date 1995/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An algorithm for obtaining the Taylor coefficients of an expansion of Feynman diagrams is proposed. It is based on recurrence relations which can be applied to the propagator as well as to the vertex diagrams. As an application, several coefficients of the Taylor series expansion for the two-loop propagator and two-loop non-planar vertex diagrams are calculated. The results of the numerical evaluation of these diagrams using conformal mapping and Pade approximants are given.

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