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Manuscript Title: FIRE4, LiteRed and accompanying tools to solve integration by parts relations | ||

Authors: A.V. Smirnov, V.A. Smirnov | ||

Program title: FIRE4 | ||

Catalogue identifier: AEPW_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 184(2013)2820 | ||

Programming language: Wolfram Mathematica 6.0 or higher. | ||

Computer: Workstation or PC. | ||

Operating system: Unix, Linux, Windows, Mac OS X. | ||

RAM: Depends on the complexity of the problem | ||

Keywords: Feynman diagrams, Multiloop Feynman integrals, Dimensional regularization, Computer algebra. | ||

PACS: 02.70.Wz, 03.70.+k, 11.10.-z. | ||

Classification: 4.4, 4.8, 5, 20. | ||

External routines: QLink [1], FLink [2], LiteRed [3] | ||

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. | ||

Solution method:Since the matrix of equations is very specific, none of standard methods of solving linear equations can be applied efficiently. The program approaches solving those equations with a special version of Gauss elimination. It stores data on disk with the use of the QLink [1] routine and can speed up calculations (evaluation of GCD) with FLink [2]. The external package LiteRed [3] can be used to produce additional rules for reduction. | ||

Restrictions:The complexity of the problem is mostly restricted by the CPU time required to perform the reduction of integrals. | ||

Running time:Depends on the complexity of the problem | ||

References: | ||

[1] | http://science.sander.su/QLink.htm, open source; | |

[2] | http://science.sander.su/FLink.htm, open source; | |

[3] | http://www.inp.nsk.su/ lee/programs/LiteRed/, open source. |

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