J. Gluza, K. Kajda (Silesia U.) , T. Riemann (DESY, Zeuthen)
See
here
(sectors) for an alternative way of numerical calculation of Feynman Integrals
in Euclidean region.
To download 'right click' and 'save target as'.
The package AMBRE.m, version 2.0
arXiv:
arXiv:1006.4728 [hep-ph]
(basic description),
arXiv:
arXiv:1010.1667 [hep-ph]
(main description).
This version allows to generate in an automatic way M-B representations for
multiloop planar tensor integrals.
If you want to control manually loop-by-loop dimensionality
of constructed M-B representations, use one of previous versions.
To make analytic continuation and numerical tests, it needs auxiliary file
MBnum.m or
MBresolve.m (by Alex and Volodya Smirnov)
and to reduce dimensionality
of integrals as much as possible the package
barnesroutines.m
(by David Kosower) can be useful.
Examples:
The package AMBREv1.2.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:
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
Some of examples below are calculated by sector decomposition
in sectors , including numerators.
