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FIRE 6.5: Feynman Integral Reduction with New Simplification Library

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arxiv 2311.02370 v1 pith:VAJ6AWSY submitted 2023-11-04 hep-ph

classification hep-ph
keywords firefeynmanreductionalgebrabackendcomputerintegralslibrary
verification ladder T0 review T1 audit T2 compute T3 formal
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FIRE is a program which performs integration-by-parts (IBP) reduction of Feynman integrals. Originally, the C++ version of FIRE relies on the computer algebra system Fermat by Robert Lewis to simplify rational functions. We present an upgrade of FIRE which incorporates a new library FUEL initially described in a separate publication, which enables a flexible choice of third-party computer algebra systems as simplifiers, as well as efficient communications with some of the simplifiers as C++ libraries rather than through Unix pipes. We achieve significant speedups for IBP reduction of Feynman integrals involving many kinematic variables, when using an open source backend based on FLINT newly added in this work, or the Symbolica backend developed by Ben Ruijl as a potential successor of FORM.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tensor Reduction of Sunset by Generating Function

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    A complete set of recurrence relations is derived to reduce any tensor integral of the sunset diagram to seven master integrals, using generating functions supplemented by syzygy equations.

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    The paper provides fast, analytic two-loop virtual QCD corrections for gluon-induced ZH and off-shell ZZ production with full top-quark mass dependence, validated against numerical results at the sub-percent level.

  3. Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling

    hep-th 2025-07 conditional novelty 6.0 of 10

    Multi-point lattice reduction on high-precision numerical samples can recover exact analytic expressions for multi-loop Feynman integrals with rational coefficients.

  4. Kira 3: integral reduction with efficient seeding and optimized equation selection

    hep-ph 2025-05 conditional novelty 6.0 of 10

    Kira 3 cuts Feynman-integral reduction cost by up to two orders of magnitude using smarter seeding and equation selection.

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