Some methods for the evaluation of complicated Feynman integrals

Details Some methods for the evaluation of complicated Feynman integrals Some methods for the evaluation of complicated Feynman integrals

2001-12-28

arxiv.org/abs/hep-ph/0112347v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, latex, 2 figures. Talk presented at the XXXV Winter School, Repino, S'Peterburg, February 2001

Scientific paper

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.

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