No. 117 (00243)

Family name : de Doncker
Given name : Elise
Affiliation : Western Michigan University
Abbreviation : WMU
E-mail address : elise@cs.wmich.edu
Title : Loop integration results using numerical extrapolation and
        symbolic manipulation
Authors : E. de Doncker, Y. Shimizu, F. Fujimoto, F. Yuasa, L. Cucos, R.
          Zanny
Abstract : 
Results have been obtained for classes of one- and two-loop integrals
using extrapolation techniques. The extrapolation, with respect to a
parameter in the intergrand which tends to zero, is based on an
underlying asymptotic expansion.
        The result is verified for a two-dimensional case by deriving an
expansion using symbolic manipulation. Further numerical results are
given for a 4-point function using numerical integration and
extrapolation.
        Extensions to accomodate loop integration by existing
integration packages will be discussed. These include: using previously
obtained partitions of the domain, and roundoff error guards.