3 papers
hep-ph2026
Factorization of denominators as a `fuel' for Feynman integral reduction
Alexander V. Smirnov, Vladislav. A. Fokin, Egor Yu. Chuvashov
Rational-function simplification is key bottlenecks in integration-by-parts (IBP) reduction of Feynman integrals. We study denominator factorization patterns appearing in IBP coeff…
hep-ph2025
GPU Implementation of Zippel Method for Feynman Integral Reconstruction
Alexander V. Smirnov, Boris I. Rozhnov, Vadim V. Voevodin
The Zippel algorithm performs a rational reconstruction of multivariate polynomials and aims specifically at the sparse case. It is applied in different fields of science, lately b…
hep-ph2024
Efficient reduction of Feynman integrals on supercomputers
A. V. Belitsky, A. A. Kokosinskaya, A. V. Smirnov +2
Feynman integral reduction by means of integration-by-parts identities is a major power gadget in a theorist toolbox indispensable for calculation of multiloop quantum effects rele…