swMATH ID: 550
Software Authors: Steinhauser, Matthias
Description: MATAD: A program package for the computation of MAssive TADpoles. The main aim of the present article is to present the program package MATAD which is designed for the computation of MAssive TADpoles at one-, two, and three-loop order. Program Summary URL: http://cpc.cs.qub.ac.uk/summaries/ADNG. Catalog identifier: ADNG. Multi-loop integrals are needed for evaluation of quantum correction. 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. Furthermore the results for the master integrals are listed and the switches for the input-file are described. A user interface is provided which makes it easy to put in complicated diagrams in a rather compact way. Some explicit examples are discussed and hints for the convenient usage of MATAD are given.
Homepage: http://cpc.cs.qub.ac.uk/summaries/ADNG
Keywords: three-loop computations; vacuum integrals; computer algebra; automation of computations; master integrals; one-loop order; two-loop order; three-loop order
Related Software: FORM; Axodraw; Mincer; Fermat; HarmonicSums; LiteRed; Forcer; FIRE; Reduze; AIR; FeynCalc; FeynArts; DIANA; RunDec; FIRE5; HIGLU; OreSys; Kira; RECOLA; FormCalc
Cited in: 48 Publications

Citations by Year