see the review by

R. Harlander and M. Steinhauser,

*Prog. Part. Nucl. Phys.* 43 (1999) 167-228
[TTP98-41,
hep-ph/9812357].

`BASES`

*Source:*`FORTRAN`

*Availability:*CPC program library

*Purpose:*Monte Carlo integration`BUBBLES`

*Source:*`FORM`

*Algorithms:*integration-by-parts

*Purpose:*analytical computation of purely massive four-loop tadpole integrals up to pole part`CHANEL`

*Source:*`FORTRAN`

*Availability:*CPC program library

*Purpose:*library for the calculation of helicity amplitudes`Color`

*Source:*`FORM`

*Availability:*http://www.nikhef.nl/~form/

*Purpose:*computation of color factors`CompHEP`

*Uses:*`VEGAS`

*Source:*`FORTRAN`

,`C`

*Preferably combined with:*`LanHEP`

*Algorithms:*symbolic evaluation of squared diagrams, recursive representation of kinematics, Monte Carlo integration

*Availability:*http://comphep.sinp.msu.ru

*Purpose:*symbolic and numerical computation of tree level processes with up to six external legs`DIANA`

*Uses:*`QGRAF`

*Source:*`C`

*Availability:*http://www.physik.uni-bielefeld.de/~tentukov/diana.html

*Purpose:*general environment for generating and evaluating Feynman diagrams`EXP`

*Source:*`FORTRAN 90`

*Preferably combined with:*`MATAD`

,`MINCER`

*Algorithms:*large-momentum procedure, hard-mass procedure

*Purpose:*reduce multi-scale to single-scale integrals`FeynArts`

*Source:*`Mathematica`

*Preferably combined with:*`FeynCalc`

,`FormCalc`

,`TwoCalc`

*Availability:*http://www.feynarts.de/

*Purpose:*diagram generator with main focus on one- and two-loop cases`FeynCalc`

*Source:*`Mathematica`

*Preferably combined with:*`FeynArts`

,`LoopTools`

*Algorithms:*tensor decomposition and tensor reduction

*Availability:*http://www.mertig.com/

*Purpose:*reduction of arbitrary one-loop to a set of basis integrals`FF`

*Source:*`FORTRAN`

*Availability:*http://www.xs4all.nl/~gjvo/FF.html

*Purpose:*numerical computation of scalar and vector one-loop integrals up to six-point functions`FormCalc`

*Source:*`Mathematica`

,`FORM`

*Preferably combined with:*`FeynArts`

,`LoopTools`

*Algorithms:*tensor decomposition

*Availability:*http://www.feynarts.de/

*Purpose:*slimmed, high speed version of`FeynCalc`

`GEFICOM`

*Uses:*`QGRAF`

,`MATAD`

,`MINCER`

,`EXP`

or`LMP`

*Source:*`Mathematica`

,`FORM`

,`AWK`

*Purpose:*automatic generation and computation of three-loop Feynman diagrams in terms of expansions`GRACE`

*Uses:*`CHANEL`

,`BASES`

,`SPRING`

*Source:*`C`

,`FORTRAN`

*Algorithms:*helicity-amplitude method, Monte Carlo integration

*Availability:*ftp://ftp.kek.jp/kek/minami/grace/

*Purpose:*numerical computation of 2 -> 2 scattering processes to one-loop and multi-particle scattering processes at tree loop level`GRINDER`

*Source:*`REDUCE`

*Algorithms:*integration-by-parts

*Availability:*http://www-ttp.physik.uni-karlsruhe.de/Progdata/ttp00/ttp00-01/

*Purpose:*analytical computation of three-loop HQET integrals`HELAS`

*Source:*`FORTRAN`

*Purpose:*helicity-amplitude subroutines for Feynman diagram evaluations`HEPLoops`

*Source:*`FORM`

*Availability:*upon request from the author

*Algorithms:*integration-by-parts

*Purpose:*analytical computation of massless propagator-type diagrams up to three loops`LanHEP`

*Source:*`C`

*Preferably combined with:*`CompHEP`

*Availability:*http://theory.npi.msu.su/~semenov/lanhep.html

*Purpose:*generate Feynman rules from Lagrangean`LMP`

*Source:*`PERL`

*Preferably combined with:*`MATAD`

,`MINCER`

*Algorithms:*large-momentum procedure

*Purpose:*factorize large external momentum in two-point functions`LOOPS`

*Source:*`REDUCE`

*Algorithms:*integration-by-parts

*Availability:*CPC Program Library

*Purpose:*computation of one- and two-loop propagator type integrals`LoopTools`

*Uses:*`FF`

*Source:*`Mathematica`

,`FORTRAN`

*Preferably combined with:*`FeynCalc`

,`FormCalc`

*Availability:*http://www.feynarts.de/

*Purpose:*implementation and extension of`FF`

in`Mathematica`

`MadGraph`

*Uses:*`HELAS`

*Source:*`FORTRAN`

*Availability:*http://pheno.physics.wisc.edu/Software/MadGraph/

*Purpose:*automatic generation of Feynman diagrams; calculation of helicity amplitudes`MATAD`

*Source:*`FORM`

*Algorithms:*integration-by-parts

*Availability:*http://www-ttp.physik.uni-karlsruhe.de/Progdata/MATAD/

*Purpose:*analytical computation of massive three-loop tadpole integrals`MINCER`

(`FORM`

version):*Source:*`FORM`

*Algorithms:*integration-by-parts

*Availability:*http://www.nikhef.nl/~form/

*Purpose:*analytical computation of massless propagator-type diagrams up to three loops`MINCER`

(`SCHOONSCHIP`

version):*Source:*`SCHOONSCHIP`

*Algorithms:*integration-by-parts

*Availability:*CPC program library

*Purpose:*analytical computation of massless propagator-type diagrams up to three loops`MINOS`

*Source:*`C`

*Purpose:*controlling facility for the calculation of processes with a huge number of diagrams`oneloop`

*Source:*`MAPLE`

*Availability:*http://wwwthep.physik.uni-mainz.de/~xloops/

*Purpose:*algebraic and numerical calculation of one-loop diagrams`PHACT`

*Source:*`FORTRAN`

*Algorithms:*helicity amplitudes

*Purpose:*numerical computation of tree processes up to four particles in the final state`ProcessDiagram`

*Source:*`Mathematica`

*Purpose:*computation of one- and two-loop bubble diagrams allowing for several different masses`PVEGAS`

*Source:*`C`

*Availability:*ftp://ftpthep.physik.uni-mainz.de/pub/pvegas/`RECURSOR`

*Source:*`REDUCE`

*Algorithms:*integration-by-parts

*Purpose:*analytical computation of massive three-loop tadpole integrals`s2lse`

*Source:*`C`

*Preferably combined with:*`TwoCalc`

*Availability:*ftp://ftp.physik.uni-wuerzburg.de/pub/hep/index.html

*Purpose:*numerically evaluate integral representations for scalar two-loop self-energy integrals`SHELL2`

*Source:*`FORM`

*Algorithms:*integration-by-parts

*Availability:*CPC Program Library

*Purpose:*computation of propagator-type on-shell integrals up to two loops`SIXPHACT`

*Source:*`REDUCE`

*Algorithms:*integration-by-parts

*Purpose:*analytical computation of massless propagator-type diagrams up to three loops`SPRING`

*Source:*`FORTRAN`

*Purpose:*event generation`TARCER`

*Source:*`Mathematica`

*Algorithms:*tensor reduction by shifting the space-time dimension

*Availability:*http://www.mertig.com/tarcer/

*Purpose:*tensor reduction of two-loop propagator-type integrals and reduction to a set of basic integrals`TLAMM`

*Source:*`C`

*Purpose:*automatic evaluation of two-loop vertex diagrams`TRACER`

*Source:*`Mathematica`

*Availability:*http://www.physics.uc.edu/~johnson/HEP/mathematica/mathematica_index.html

*Purpose:*Dirac trace calculations in`Mathematica`

, optionally with 't Hooft-Veltman or naive anti-commuting \gamma`TwoCalc`

*Uses:*`FeynCalc`

*Source:*`Mathematica`

*Preferably combined with:*`FeynArts`

,`s2lse`

,`master`

*Algorithms:*two-loop tensor reduction

*Availability:*upon request from the author

*Purpose:*reduction of two-loop propagator diagrams to a set of basis integrals`QGRAF`

*Source:*`FORTRAN`

*Availability:*http://cfif.ist.utl.pt/~paulo/qgraf.html

*Purpose:*efficiently generate multi-loop Feynman diagrams in symbolic notation`VEGAS`

*Source:*`FORTRAN`

*Purpose:*adaptive multi-dimensional integration`WPHACT`

*Availability:*http://www.to.infn/~ballestr/wphact/`XLOOPS`

*Uses:*`PVEGAS`

,`oneloop`

*Source:*`MAPLE`

,`Tcl/Tk`

*Algorithms:*parallel space technique

*Availability:*http://wwwthep.physik.uni-mainz.de/~xloops/

*Purpose:*compute one- and two-loop diagrams using X-interface

http://www-ttp.particle.uni-karlsruhe.de/Links/algprog.html?DE:
zuletzt geändert am 16. 06. 2008.
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