Algorithm FIRE—Feynman Integral REduction

2008/07/31 by A. V. Smirnov, A.V Smirnov · 16 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Particle physics theoretical and experimental studies #Quantum and Classical Electrodynamics #hep-ph

paper · pdf · doi:10.1088/1126-6708/2008/10/107

published as JHEP0810:107,2008 · Comparison with AIR updated

arxiv created 2008/08/02 · openalex publication_date 2008/10/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

Abstract

The recently developed algorithm FIRE performs the reduction of Feynman integrals to master integrals. It is based on a number of strategies, such as applying the Laporta algorithm, the s-bases algorithm, region-bases and integrating explicitly over loop momenta when possible. Currently it is being used in complicated three-loop calculations.

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Related

• FIRE 6.5: Feynman Integral Reduction with New Simplification Library
• FIRE 7: Automatic Reduction with Modular Approach
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