Laurent series expansion of sunrise-type diagrams using configuration space techniques

2004/03/31 by S. Groote, J. G. Körner, A. A. Pivovarov · 1 citation
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1140/epjc/s2004-01974-2

published as Eur.Phys.J. C36 (2004) 471-482 · 20 pages, 3 eps-figures included

arxiv created 2004/08/19 · arxiv updated 2009/12/01

Abstract

We show that configuration space techniques can be used to efficiently calculate the complete Laurent series \eps-expansion of sunrise-type diagrams to any loop order in D-dimensional space-time for any external momentum and for arbitrary mass configurations. For negative powers of \eps the results are obtained in analytical form. For positive powers of \eps including the finite \eps⁰ contribution the result is obtained numerically in terms of low-dimensional integrals. We present general features of the calculation and provide exemplary results up to five loop order which are compared to available results in the literature.

Cited by

• Hadronic vacuum polarization to three loops in chiral perturbation theory

Related

• Lectures on configuration space methods for sunrise-type diagrams
• Differential Equations for the 2-Loop Equal Mass Sunrise
• Loop functions of sunset diagrams in 2+1 space-time dimensions
• Geometrical approach to loop calculations and the epsilon-expansion of Feynman diagrams
• Analytic results for the massive sunrise integral in the context of an alternative perturbative calculational method