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

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

2004-03-11

arxiv.org/abs/hep-ph/0403122v2

Eur.Phys.J. C36 (2004) 471-482

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 3 eps-figures included

Scientific paper

10.1140/epjc/s2004-01974-2

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 \eps^0 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.

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