Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] adng_v1_0.tar.gz(123 Kbytes)|
|Manuscript Title: MATAD: a program package for the computation of MAssive TADpoles.|
|Authors: M. Steinhauser|
|Program title: MATAD|
|Catalogue identifier: ADNG_v1_0|
Distribution 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.|
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.
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.
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 .
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.
|||J.A.M. Vermaseren, Symbolic Manipulation with FORM, (Computer Algebra Netherlands, Amsterdam, 1991).|
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