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FIRE 7: Automatic Reduction with Modular Approach
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DOI：10.1016/j.cpc.2026.110200.png)
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Abstract
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FIRE7 is a major update to the FIRE program for integration-by-parts (IBP) reduction of Feynman integrals. A large part of the improvements is related to the automatic reduction and reconstruction with the modular arithmetic approach. The performance of the classical rational polynomial approach is also significantly increased, using an improved presolve algorithm that performs Gaussian elimination to simplify IBP identities before substituting numerical indices as in the Laporta algorithm. Various new command line tools are included to facilitate tasks such as applying an IBP reduction table to reduce a loop integrand as a linear combination of individual integrals.
Keywords:
Feynman integrals
integration-by-parts reduction
modular arithmetic
Laporta algorithm
loop integrands
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