Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] afbb_v1_0.tar.gz(6728 Kbytes) | ||
---|---|---|

Manuscript Title: New Developments in FeynCalc 9.0 | ||

Authors: Vladyslav Shtabovenko, Rolf Mertig, Frederik Orellana | ||

Program title: FeynCalc | ||

Catalogue identifier: AFBB_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 207(2016)432 | ||

Programming language: Wolfram Mathematica 8 and higher. | ||

Computer: Any computer that can run Mathematica 8 and higher. | ||

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

Keywords: High energy physics, Feynman diagrams, Loop integrals, Dimensional regularization, Dirac algebra, Color algebra, Tensor reduction. | ||

Classification: 4.4, 5, 11.1. | ||

External routines: FeynArts [2] (Included) | ||

Nature of problem:Symbolic semi-automatic evaluation of Feynman diagrams and algebraic expressions in quantum field theory. | ||

Solution method:Algebraic identities that are needed for evaluation of Feynman | ||

Reasons for new version:Compatibility with Mathematica 10, improved performance and new features regarding manipulation of loop integrals. | ||

Restrictions:Slow performance for multi-particle processes (beyond 1 → 2 and 2 → 2) and processes that involve large (> 100) number of Feynman diagrams. | ||

Additional comments:The original FeynCalc paper was published in Comput. Phys. Commun., 64(1991)345, but the code was not included in the Library at that time. Reasons for the new version: Compatibility with Mathematica 10, improved performance and new features regarding manipulation of loop integrals. Summary of revisions: Tensor reduction of 1-loop integrals is extended to arbitrary rank and multiplicity with proper handling of integrals with zero Gram determinants. Tensor reduction of multi-loop integrals is now also available (except for cases with zero Gram determinants). Partial fractioning algorithm of [1] is added to decompose loop integrals into terms with linearly independent propagators. Feynman diagrams generated by FeynArts can be directly converted into FeynCalc input for subsequent evaluation. | ||

Running time:Depends on the complexity of the calculation. Seconds for few simple tree level and 1-loop Feynman diagrams; Minutes or more for complicated diagrams. | ||

References: | ||

[1] | F. Feng, $Apart: A Generalized Mathematica Apart Function, Comput. Phys. Commun., 183, 2158-2164, (2012), arXiv:1204.2314. | |

[2] | T. Hahn, Generating Feynman Diagrams and Amplitudes with FeynArts 3, Comput. Phys. Commun., 140, 418-431, (2001), arXiv:hep-ph/0012260. |

Disclaimer | ScienceDirect | CPC Journal | CPC | QUB |