Scaling up to Multivariate Rational Function Reconstruction
arXiv:2409.08757 · doi:10.1016/j.cpc.2025.109827
Abstract
I present an algorithm for the reconstruction of multivariate rational functions from black-box probes. The arguably most important application in high-energy physics is the calculation of multi-loop and multi-leg amplitudes, where rational functions appear as coefficients in the integration-by-parts reduction to basis integrals. I show that for a dense coefficient the algorithm is nearly optimal, in the sense that the number of required probes is close to the number of unknowns.
14 pages, no figures. Journal version with comparison to FireFly and FiniteFlow
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