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In this paper, we describe a numerical approach to evaluate Feynman loopintegrals. In this approach the key technique is a combination of a numericalintegration method and a numerical extrapolation method. Since the computationis carried out in a fully numerical way, our approach is applicable to one-,two- and multi-loop diagrams. Without any analytic treatment it can computediagrams with not only real masses but also complex masses for the internalparticles. As concrete examples we present numerical results of a scalarone-loop box integral with complex masses and two-loop planar and non-planarbox integrals with masses. We discuss the quality of our numerical computationby comparisons with other methods and also propose a self consistency check.

Numerical Approach to Calculation of Feynman Loop Integrals