AMBRE - Automatic Mellin-Barnes REpresentation
arXiv: 0704.2423

• The package AMBRE.m, version 1.2
  This version allows to generate M-B representations for tensor integrals containing not only scalar products of internal and external momenta, but also internal momenta with indices only. Additionally new options were added, among others it allows to generate representations without doing "X" integration (here we would like to thank Pierpaolo Mastrolia for this suggestion). Detailed description of new features is avaliable in the following examples:
  • description of new features: mathematica file
  • example of QED vertex with the following numerators: (k1.k1)^2, numerator with general external momenta, numerator without external momenta - example file

• The package AMBREv1.1.m, version 1.1
  This version allows to obtain MB-representations for direct products of Feynman integrals like e.g. tadpole*box, SE*vertex, etc.
  We thank Stefan Bekavac for indicating to the interest in this extension.
• The package AMBREv1.0.m, version 1.0
  This version is described in arXiv:0704.2423
  and Computer Physics Communications 177 (2007) 879, see some details from the CPC web page: here
• Kinematics generator for 4- 5- and 6- point functions with any external legs KinematicsGen.m with examples
• Tarball with examples given below examples.tar.gz
  • example1.nb, example2.nb - Massive QED pentagon diagram.
    
  • example3.nb - Massive QED one-loop box diagram.
    
  • example4.nb - General one-loop vertex.
    
  • example5.nb - Six-point scalar functions;
    left: massless case,
    right: massive case.
    
  • example6.nb - left, example7.nb - right
    Massive two-loop planar QED box.
    
  • example8.nb - The loop-by-loop iterative procedure.
    
  • example9.nb, example10.nb - Massless topologies;
    left: four-loop two-point diagram,
    right: two-loop five-point diagram.
    
  • example11.nb - left, example12.nb - right
    Four-loop tadpoles with three massive lines.
  • example13.nb, example14.nb - On-shell self-energies;
    left: SE5l3m2,
    right: SE3l1m.
    

• MB.m, which can be downloaded using this link: MB tools