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Some methods for the evaluation of complicated Feynman integrals

A. V. Kotikov
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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 ϕ^4-theory. An illustration of the results obtained with help of above methods is considered.

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A. V. Kotikov. 2001-12-28. Some methods for the evaluation of complicated Feynman integrals. https://arxiv.org/abs/hep-ph/0112347

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