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

The European Physical Journal C

S. Groote¹  J. G. Körner²  A. A. Pivovarov³ 

[1] Füüsika Instituut, Tartu Ülikool, Tähe 4, 51010, Tartu, Estonia;Institut für Physik, Johannes-Gutenberg-Universität, Staudinger Weg 7, 55099, Mainz, Germany;Institut für Physik, Johannes-Gutenberg-Universität, Staudinger Weg 7, 55099, Mainz, Germany;Institute for Nuclear Research, Russian Academy of Sciences, 117312, Moscow, Russia;Department Physik, Universität Siegen, Walter-Flex-Str. 3, 57068, Siegen, Germany;

关键词: Recurrence Relation;    Momentum Space;    Configuration Space;    Modify Bessel Function;    Mass Case;   

DOI  :  10.1140/epjc/s10052-012-2085-z

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY