https://doi.org/10.1140/epjc/s10052-012-2085-z
Special Article - Tools for Experiment and Theory
A numerical test of differential equations for one- and two-loop sunrise diagrams using configuration space techniques
1
Füüsika Instituut, Tartu Ülikool, Tähe 4, 51010, Tartu, Estonia
2
Institut für Physik, Johannes-Gutenberg-Universität, Staudinger Weg 7, 55099, Mainz, Germany
3
Institute for Nuclear Research, Russian Academy of Sciences, Moscow, 117312, Russia
4
Department Physik, Universität Siegen, Walter-Flex-Str. 3, 57068, Siegen, Germany
* e-mail: groote@thep.physik.uni-mainz.de
Received:
11
June
2012
Revised:
5
July
2012
Published online:
18
July
2012
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.
© Springer-Verlag / Società Italiana di Fisica, 2012
