A numerical test of differential equations for one- and two-loop sunrise diagrams using configuration space techniques View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2012-07

AUTHORS

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

ABSTRACT

We use configuration space methods to write down one-dimensional integral representations for one- and two-loop sunrise diagrams (also called Bessel moments) which we use to numerically check on the correctness of the second order differential equations for one- and two-loop sunrise diagrams that have recently been discussed in the literature.

PAGES

2085

References to SciGraph publications

  • 1997-12. Differential equations for Feynman graph amplitudes in IL NUOVO CIMENTO A (1971-1996)
  • 1978-05. Feynman diagrams without feynman parameters in IL NUOVO CIMENTO A (1965-1970)
  • 1999-11. Configuration space based recurrence relations for sunset-type diagrams in THE EUROPEAN PHYSICAL JOURNAL C
  • 2004-08. Laurent series expansion of sunrise-type diagrams using configuration space techniques in THE EUROPEAN PHYSICAL JOURNAL C
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1140/epjc/s10052-012-2085-z

    DOI

    http://dx.doi.org/10.1140/epjc/s10052-012-2085-z

    DIMENSIONS

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