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Tropical sampling and its application to large-loop Feynman integration

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AR2W03 - Applicable resurgent asymptotics: summary workshop

Tropical sampling is a new method that can be used to evaluate algebraic integrals, such as Feynman integrals in the parametric representation, numerically.  If the structure of the Newton polytope of the integrand is precomputed or known from first principles, then tropical sampling is very fast.  In the case of Euclidean Feynman integrals these polytopes turn out to be generalized permutahedra, which are well-studied.  Employing this knowledge leads to a highly efficient and practical numerical integration algorithm which can compute scalar Euclidean Feynman integrals with arbitrary kinematics up to loop order ~20 on available hardware.

This talk is part of the Isaac Newton Institute Seminar Series series.

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