Some methods for the evaluation of complicated Feynman integrals
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
We discuss a progress in calculations of Feynman integrals based on the Gegenbauer Polynomial Technique and the Differential Equation Method. We demonstrate the results for a class of two-point two-loop diagrams and the evaluation of most complicated part of O(1/N^3) contributions to critical exponents of \phi^4-theory. An illustration of the results obtained with help of above methods is considered.
Cite
@article{arxiv.hep-ph/0112347,
title = {Some methods for the evaluation of complicated Feynman integrals},
author = {A. V. Kotikov},
journal= {arXiv preprint arXiv:hep-ph/0112347},
year = {2007}
}
Comments
22 pages, latex, 2 figures. Talk presented at the XXXV Winter School, Repino, S'Peterburg, February 2001