Reconstructing complex multi-loop results with FiniteFlow

Tuesday, 24 September 2019 at 11:15, in Y16 G05 - Campus Irchel

I will describe FiniteFlow, a framework for defining and executing numerical algorithms over finite fields and reconstructing multivariate rational functions. The framework employs computational graphs, known as dataflow graphs, to combine basic building blocks into complex algorithms. This approach sidesteps the appearance of large intermediate expressions and can be massively parallelized. I describe applications to several multi-loop techniques and recent results for two-loop five-point scattering and for the four-loop cusp anomalous dimension.