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

DOI10.1140/EPJC/S2004-01974-2zbMATH Open1191.81165arXivhep-ph/0403122OpenAlexW3102402070MaRDI QIDQ982872

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Publication date: 27 July 2010

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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 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.

Full work available at URL: https://arxiv.org/abs/hep-ph/0403122

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