MATAD 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 Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year MATAD: A program package for the computation of MAssive TADpoles. Zbl 0978.81058Steinhauser, Matthias 2001 all top 5 Cited by 69 Authors 11 Blümlein, Johannes 10 Schneider, Carsten 9 Ablinger, Jakob 8 Steinhauser, Matthias 7 De Freitas, Abilio 5 Wißbrock, Fabian 4 Hasselhuhn, Alexander 4 Kniehl, Bernd A. 4 Pikelner, Andrey F. 4 Von Manteuffel, Andreas 3 Hoff, Jens 3 Kalmykov, Mikhail Yu. 3 Klein, Sebastian 3 Round, Mark 3 Velizhanin, V. N. 2 Bednyakov, A. V. 2 Behring, Arnd 2 Bierenbaum, Isabella 2 Chetyrkin, K. G. 2 Davydychev, Andrei I. 2 Fugel, Frank 2 Furlan, Elisabetta 2 Harlander, Robert V. 2 Kant, Philipp 2 Raab, Clemens G. 2 Zoller, Max F. 1 Anastasiou, Charalampos 1 Boughezal, Radja 1 Brod, Joachim 1 Butenschön, Mathias 1 Clarke, Jackson D. 1 Cox, Peter M. 1 Cyrol, Anton K. 1 Czakon, Michał 1 Gracey, John A. 1 Grigo, Jonathan 1 Groote, Stefan 1 Grozin, Andrey G. 1 Heinrich, Gudrun 1 Hofmann, Franziska 1 Höschele, Maik 1 Imamoglu, Erdal 1 Kara, Dominik 1 Klappert, Jonas 1 Kompaniets, Mikhail V. 1 Körner, J. G. 1 Lang, Jean-Nicolas 1 Lange, Fabian 1 Maier, Andreas 1 Maierhöfer, P. 1 Mantler, Hendrik 1 Marquard, Peter 1 Mihaila, Luminita 1 Misiak, Mikolaj 1 Mitter, Mario 1 Pak, Alexey 1 Polyakov, Maxim V. 1 Pozzorini, Stefano 1 Radu, Cristian-Silviu 1 Rittinger, J. 1 Rogal, Mikhail 1 Schönwald, Kay 1 Sieverding, Jan 1 Smirnov, Aleksandr Vladimirovich 1 Strodthoff, Nils 1 Sturm, Christian 1 van Hoeij, Mark 1 Veretin, Oleg L. 1 Zhang, Hantian all top 5 Cited in 7 Serials 28 Nuclear Physics. B 11 Journal of High Energy Physics 4 Computer Physics Communications 2 Physics Letters. B 1 Journal of Mathematical Physics 1 Physics Reports 1 Annals of Physics all top 5 Cited in 9 Fields 47 Quantum theory (81-XX) 6 Number theory (11-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year