Resolution of singularities for multi-loop integrals

We report on a program for the numerical evaluation of divergent multi-loop integrals. The program is based on iterated sector decomposition. We improve the original algorithm of Binoth and Heinrich such that the program is guaranteed to terminate. The program can be used to compute numerically the Laurent expansion of divergent multi-loop integrals regulated by dimensional regularisation. The symbolic and the numerical steps of the algorithm are combined into one program. PROGRAM SUMMARY Title of program: sector_decomposition Version: 1.0 Catalogue number: Program obtained from: http://wwwthep.physik.uni-mainz.de/ ̃stefanw/software.html E-mail: [email protected], [email protected] License: GNU Public License Computers: all Operating system: Unix Program language: C++ Memory required to execute: Depending on the complexity of the problem. Other programs called: GiNaC, available from http://www.ginac.de, GNU scientific library, available from http://www.gnu.org/software/gsl. External files needed: none