Recursion relations for two-loop self-energy diagrams on-shell
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
A set of recurrence relations for on-shell two-loop self-energy diagrams with one mass is presented, which allows to reduce the diagrams with arbitrary indices (powers of scalar propagators) to a set of the master integrals. The SHELL2 package is used for the calculation of special types of diagrams. A method of calculation of higher order \epsilon-expansion of master integrals is demonstrated.
Cite
@article{arxiv.hep-ph/9905379,
title = {Recursion relations for two-loop self-energy diagrams on-shell},
author = {J. Fleischer and M. Yu. Kalmykov and A. V. Kotikov},
journal= {arXiv preprint arXiv:hep-ph/9905379},
year = {2007}
}
Comments
Talk given by J.Fleischer at 6th International Workshop on Software Engineering, Artificial Intelligence, Neural Nets, Genetic Algorithms, Symbolic Algebra, Automatic Calculation (AIHENP 99), Heraklion, Crete, Greece, 12-16 April, 1999; 8 pages, LaTeX, 3 eps-figures