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Numerical Evaluation of Feynman Integrals by a Direct Computation Method

arXiv:0904.2823

Abstract

A purely numerical method, Direct ComputationMethod is applied to evaluate Feynman integrals. This method is based on the combination of an efficient numerical integration and an efficient extrapolation. In addition, high-precision arithmetic and parallelization technique can be used in this method if required. We present the recent progress in development of this method and show results such as one-loop 5-point and two-loop 3-point integrals.

5 pages,9 figures, LaTeX, PoS style; ACAT2008, XII International Workshop on Advanced Computing and Analysis Techniques in Physics Research, Erice, Sicily, Italy November 3-7, 2008