Computation of loop integrals using extrapolation

We present a class of methods for the evaluation of loop integrals based on extrapolation. The method is based on generating a sequence of approximations which converge to the loop integral value as a parameter E introduced in the integrand tends to zero. We examine the applicability of linear and non-linear extrapolation processes. Test results are given for one-loop three-point vertex and four-point functions and for a two-loop vertex diagram. (C) 2004 Elsevier B.V. All rights reserved.