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Asymptotic Expansions of Feynman Integrals on the Mass Shell in Momenta and Masses

V. A. Smirnov

Abstract

A brief review of recent results on asymptotic expansions of Feynman integrals on the mass shell in momenta and masses and their application to 2-loop calculations is presented.

Asymptotic Expansions of Feynman Integrals on the Mass Shell in Momenta and Masses

Abstract

A brief review of recent results on asymptotic expansions of Feynman integrals on the mass shell in momenta and masses and their application to 2-loop calculations is presented.

Paper Structure

This paper contains 3 sections, 5 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Large momentum expansion on the mass shell
  3. Asymptotic expansion in the Sudakov limit

Figures (2)

  • Figure 1: (a) Two-loop master self-energy diagram. (a--d) The subgraphs contributing to its large mass expansions (1) at $q^2=M^2$.
  • Figure 2: (a) A typical two-loop vertex diagram. (a)--(f) Subgraphs contributing to the asymptotic expansion of the diagram (a) in the Sudakov limit.