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

  • theoretical physics
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Abstract.

We show that configuration space techniques can be used to efficiently calculate the complete Laurent series \(\varepsilon\)-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 \(\varepsilon\) the results are obtained in analytical form. For positive powers of \(\varepsilon\) including the finite \(\varepsilon^0\) 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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Authors and Affiliations

  1. Institut für Physik, Johannes-Gutenberg-Universität, Staudinger Weg 7, 55099, Mainz, Germany

    S. Groote, J. G. Körner & A. A. Pivovarov

  2. Füüsika-Keemiateaduskond, Tartu Ülikool, Tähe 4, 51010, Tartu, Estonia

    S. Groote

  3. Institute for Nuclear Research of the Russian Academy of Sciences, 117312, Moscow, Russia

    A. A. Pivovarov

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  1. S. Groote
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  2. J. G. Körner
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Additional information

Received: 9 April 2004, Revised: 28 June 2004, Published online: 23 July 2004

Partially supported by RFBR grants # 02-01-601, 03-02-17177.

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Groote, S., Körner, J.G. & Pivovarov, A.A. Laurent series expansion of sunrise-type diagrams using configuration space techniques. Eur. Phys. J. C 36, 471–482 (2004). https://doi.org/10.1140/epjc/s2004-01974-2

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