# Aachen 2019 – wissenschaftliches Programm

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# T: Fachverband Teilchenphysik

## T 46: Theorie: QCD

### T 46.6: Vortrag

### Dienstag, 26. März 2019, 17:15–17:30, ST 8

**Laporta algorithm with finite fields** — •Jonas Klappert and Fabian Lange — RWTH Aachen University

The implementation of rational functions from their numerical values over a field has been actively studied in computer science and mathematics over the last few decades. Recently, its application to calculations in High Energy Physics has become of interest since in a purely numerical framework no large intermediate expressions occur. The latter often lead, due to a limitation of hardware, to the failure of purely analytic calculations. In this talk, we present efficient algorithms to solve these interpolation problems and their implementation in the publicly available `C++` library `FireFly`. To demonstrate their capability, we apply them to the reduction of multi-scale Feynman integrals with the Laporta algorithm.