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FeynGKZ: a Mathematica package for solving Feynman integrals using GKZ hypergeometric systems

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FeynGKZ

FeynGKZ : a Mathematica package for solving Feynman Integrals using GKZ Hypergeometric systems.

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Installation of dependencies

FeynGKZ is based on the work presented here. It needs the following dependencies:

AMBRE
  1. Software site: here, or right click and "Save link as" file.
  2. Version used: 2.1.1
  3. Installation instructions:
    Move this package to the directory containing FeynGKZ.wl. In Mathematica, this directory is specified by the global variable FeynGKZPath.
Olsson.wl
  1. Software site: available as ancillary files from here
  2. Version used: N/A
  3. Installation instructions:
    Move this package to the directory containing FeynGKZ.wl. In Mathematica, this directory is specified by the global variable FeynGKZPath.
polymake
  1. Software site: here
  2. Version used: 4.6
  3. Installation instructions:
    On a Linux system, it is usually sufficient to do the following:
    $ sudo apt-get install polymake
    
    Further installation instructions have been provided on the polymake website.
TOPCOM
  1. Software site: here
  2. Version used: 0.17.8
  3. Installation instructions:
  • On Linux:

    $ sudo apt-get install -y build-essential wget libgmp-dev libcdd-dev m4
    $ mkdir topcom && cd topcom && mkdir source && mkdir install
    $ cd install && export topcompath=$PWD && cd ..
    $ cd source && wget https://www.wm.uni-bayreuth.de/de/team/rambau_joerg/TOPCOM-Downloads/TOPCOM-0_17_8.tgz
    $ tar -xzf TOPCOM-0_17_8.tgz && cd topcom-0.17.8
    $ ./configure --prefix=$topcompath && make -j4 && make install
    

    After this, the bin, lib and include folders for TOPCOM could be found under topcompath. The paths to these folders could be prepended to the environment variables PATH, LD_LIBRARY_PATH and CPATH in the ~/.bashrc file, so as to ensure that TOPCOM executables such as points2triangs or points2ntriangs could be called from any directory using the login-shell, as long as a single-user installation is concerned.

  • On MacOS:
    First, install brew from homebrew. After that, one can follow the same set of steps as given for Linux, with the difference being only in the very first step:

    % brew install gcc cddlib gmp m4
    

    The rest of the steps are again similar to those for Linux, including the names of the environment variables, with the difference being that in most modern Macs, the default login-shell is not bash but rather zsh. So the paths need to be set in the ~/.zshrc file, accordingly.

  1. Further comments:
    In case one faces complications regarding installing TOPCOM on their system, they may use a minimal docker build of the same. The image is available here, with the corresponding dockerfile being accessible from here. One may follow the set of instructions provided in the latter to run this image in a container, and to subsequently rename this container.
Macaulay2
  1. Software site: here
  2. Version used: 1.20
  3. Installation instructions:
    On a Linux system, it is usually sufficient to do the following:
    $ sudo add-apt-repository ppa:macaulay2/macaulay2
    $ sudo apt install macaulay2
    
    Further installation instructions have been provided on the Macaulay2 website.

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