Sector decomposition
Sector decomposition
Author
Christian Bogner and Stefan Weinzierl
Version
1.1.2

The program "sector_decomposition" can be used to compute numerically the Laurent expansion of (divergent) multi-loop Feynman integrals.

The library is described in : Christian Bogner and Stefan Weinzierl, "Resolution of singularities for multi-loop integrals", http://arXiv.org/abs/0709.4092 .

With version 1.1.0 the following functionality has been added:

  • The integration domains can be chosen as the standard simplex or as the standard hyper-cube.
  • Exponents may contain rational numbers.

Downloads for the nestedsums library: The current version is 1.1.2. It requires at least GiNaC version 1.3.0. The source code can be downloaded from http://particlephysics.uni-mainz.de/weinzierl/download/sector_decomposition-1.1.2.tar.gz

The library is written in C++ and uses the GiNaC library and the GNU Scientific Library. GiNaC can be obtained from http://www.ginac.de . The GNU Scientific Library can be obtained from http://www.gnu.org/software/gsl .

Documentation of the library is inserted as comment lines inside the source code and can be extracted with the help of the documentation system "doxygen". Doxygen is available from http://www.stack.nl/~dimitri/doxygen .

When the library is used for scientific work that leads to publication in a scientific journal, please refer to this program as : Christian Bogner and Stefan Weinzierl, "Resolution of singularities for multi-loop integrals", arXiv:0709.4092 [hep-ph].