Some methods for the evaluation of complicated Feynman integrals

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/N3) contributions to critical exponents of φ4-theory. An illustration of the results obtained with help of above methods is considered.

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