Papers › Tropical sampling from Feynman measures

Tropical sampling from Feynman measures

13 Apr 2025arXiv:2504.09613links table onlyarchive 2025-07-28

Michael Borinsky, Mathijs Fraaije

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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 10⁶.

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