Algebraic algorithms for multiloop calculations. The first 15 years. What's next?

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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5 pages, PS; 7-11-98: maintenance (PS, misprints, etc.)

Scientific paper

10.1016/S0168-9002(97)00110-1

The ideas behind the concept of algebraic ("integration-by-parts") algorithms
for multiloop calculations are reviewed. For any topology and mass pattern, a
finite iterative algebraic procedure is proved to exist which transforms the
corresponding Feynman-parametrized integrands into a form that is optimal for
numerical integration, with all the poles in D-4 explicitly extracted.

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