Analytical Calculation of Two-Loop Feynman Diagrams

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We review the Laporta algorithm for the reduction of scalar integrals to the master integrals and the differential equations technique for their evaluation. We discuss the use of the basis of harmonic polylogarithms for the analytical expression of the results and some generalization of this basis to wider sets of transcendental functions.
Talk presented at the final meeting of the European Network ``Physics at Colliders'', Montpellier, September 26-27 2004. 15 pages, 2 figures

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