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Manuscript Title: MATAD: a program package for the computation of MAssive TADpoles. | ||

Authors: M. Steinhauser | ||

Program title: MATAD | ||

Catalogue identifier: ADNG_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 134(2001)335 | ||

Programming language: FORM. | ||

Operating system: UNIX, FORM 2.3. | ||

Keywords: Elementary particle physics, QCD, Three-loop computations, Vacuum integrals, Computer algebra, Automation of computations. | ||

Classification: 11.5. | ||

Nature of problem: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. | ||

Solution method: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. | ||

Restrictions:The restrictions on the complexity are given by the hardware limitations of the computer and the limits on the size of the storage files inside FORM [1]. | ||

Running time:The runtime strongly depends on the complexity of the diagram under consideration. It may vary from a few seconds to the order of a few weeks. | ||

References: | ||

[1] | J.A.M. Vermaseren, Symbolic Manipulation with FORM, (Computer Algebra Netherlands, Amsterdam, 1991). |

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