Program: | MATAD |

Keywords: | Three-loop computations, vacuum integrals, computer algebra, automation of computations |

Authors: | M. Steinhauser |

Short description: | Multi-loop integrals are needed for the evaluation of quantum
corrections. An important class of loop diagrams is covered by
so-called vacuum integrals which have no external momentum. MATAD can
analytically compute those one-, two- and three-loop vacuum integrals
where one mass scale is present. The method of integration-by-parts is used in order to obtain recurrence relations which reduce complicated integrals to a small set of so-called master integrals. They have to be evaluated once and for all. In addition a user interface is provided which makes it easy to put in complicated diagrams in a rather compact way. |

(PDF description) |

- M. Steinhauser, MATAD: A Program package for the computation of MAssive TADpoles, Comput. Phys. Commun. 134 (2001) 335, arXiv:hep-ph/0009029.

MATAD has been used in a variety of applications where three-loop tadpole integrals are needed. Among them are three-loop corrections to the electroweak ρ parameter and the effective Higgs-gluon coupling.

The source code can be downloaded from www.ttp.kit.edu/~ms/software.html

We ask you to refer to the MATAD publication

M. Steinhauser, arXiv:hep-ph/0009029.

if you use MATAD in scientific publications.

See publication.