Laurent series expansion of sunrise-type diagrams using configuration space techniques
Abstract
We show that configuration space techniques can be used to efficiently calculate the complete Laurent series -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 the results are obtained in analytical form. For positive powers of including the finite 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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