The calculation of loop decays is a tedious work, which can rarely be performed in a reasonable time by calculating all arising diagrams by hand.
The Mathematica package
MasterTwoallows the automated calculation of all one- and two-loop Feynman integrals reducable to scalar integrals independent of external momenta and depending on up to two different masses. In contrast to other programmes like
Form it works completely inside
Mathematica. Compared to other programmes like
It consists of two subpackages,
Fermions covers the standard Dirac Algebra allowing the transformation of the integrals in scalar integrals.
Integrals perform the subsequent Taylor expansion, partial fraction, tensor reduction and the integration of the thus achieved scalar integrals.
The main programme
MasterTwo.m calls these two subpackages
Fermions.m: containing functions for standard Dirac algebra allowing the transformation of the integrals in scalar integrals.
Integrals.m: containing functions for Taylor expansion, partial fraction, tensor reduction and the integration of the thus achieved scalar integrals.
The package is equipped with an online help to each command.
MasterTwoInfo produces a list with all the available
?commandprints a short information on syntax and effect of command. A detailed description of all functionalities is given in the manual being part of this distribution.
MasterTwoInstall copies the files into the correct path, updates the
init.m file in the
.Mathematica/Autoload/directory in the home directory,
To install the package,
MasterTwo-1.0.zipto your disk,
chmod +x MasterTwoInstall
./MasterTwoInstallFollow the instructions.
Run the program
./MasterTwoUninstall in the installation directory of
To install the package
Mathematica. Eventually uninstall older version of
MasterTwo.min one of the Autoload directories.
Submitted June 6, 2020 Feynman diagrams scalar two loop integration Dirac algebra tensor reduction heavy mass expansion published