Aachen 2019 – wissenschaftliches Programm
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.