A new generating-function framework turns IBP relations into differential equations in a non-commutative algebra, yielding an iterative algorithm that derives symbolic reduction rules and checks completeness for topologies such as the sunset and double-box diagrams.
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Algorithms that factor denominators in IBP coefficients inside the FUEL interface reduce reconstruction cost and improve robustness of large-scale Feynman integral reductions.
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An Algorithm for the Symbolic Reduction of Multi-loop Feynman Integrals via Generating Functions
A new generating-function framework turns IBP relations into differential equations in a non-commutative algebra, yielding an iterative algorithm that derives symbolic reduction rules and checks completeness for topologies such as the sunset and double-box diagrams.
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Factorization of denominators as a `fuel' for Feynman integral reduction
Algorithms that factor denominators in IBP coefficients inside the FUEL interface reduce reconstruction cost and improve robustness of large-scale Feynman integral reductions.