FIRE5: A C++ implementation of Feynman Integral REduction

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) 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. Title of program: FIRE5 Catalogue Id: AEPW_v2_0 Nature of problem Reducing Feynman integrals to master integrals can be treated as a task to solve a huge system of sparse linear equations with polynomial coefficients. Versions of this program held in the CPC repository in Mendeley Data AEPW_v1_0; FIRE4; 10.1016/j.cpc.2013.06.016 AEPW_v2_0; FIRE5; 10.1016/j.cpc.2014.11.024