FIRE5: a C++ implementation of Feynman Integral REduction

Abstract

In this paper the C++ version of FIRE is presented - a powerful program performing Feynman integral reduction to master integrals. All previous versions used only Wolfram Mathematica, the current version mostly uses Wolfram Mathematica as a front-end. However, the most complicated part, the reduction itself can now be done by C++, which significantly improves the performance and allows one to reduce Feynman integrals in previously impossible situations.

SFB/CPP-14-60

References in corpus (5)

• Algorithm FIRE -- Feynman Integral REduction
• Quark and gluon form factors to three loops
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
• Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight

Cited by in corpus (4)

• Lectures on differential equations for Feynman integrals
• Quark mass relations to four-loop order
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• The diamond rule for multi-loop Feynman diagrams