Tropical sampling from Feynman measures
arXiv:2504.09613 · doi:10.1016/j.cpc.2025.109846
Abstract
We introduce an algorithm that samples a set of loop momenta distributed as a given Feynman integrand. The algorithm uses the tropical sampling method and can be applied to evaluate phase-space-type integrals efficiently. We provide an implementation, momtrop, and apply it to a series of relevant integrals from the loop-tree duality framework. Compared to naive sampling methods, we observe convergence speedups by factors of more than .
32 pages, v2: version to appear in Computer Physics Communications