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 MasterTwo
allows 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 Reduce
and Form
it works completely inside Mathematica
. Compared to other programmes like HIP
, Tracer
and FeynArts
, MasterTwo
is
much smaller.
It consists of two subpackages, Fermions
and Integrals
. 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
commands and ?command
prints 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.
The installer 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.zip
to your disk,unzip MasterTwo-1.0.zip
.MasterTwo-1.0
chmod +x MasterTwoInstall
./MasterTwoInstall
Follow the instructions.Run the program ./MasterTwoUninstall
in the installation directory of MasterTwo
.
To install the package
Mathematica
. Eventually uninstall older version of MasterTwo
.Fermions.m
Integrals.m
MasterTwo.m
in one of the Autoload directories.Submitted June 6, 2020 Feynman diagrams scalar two loop integration Dirac algebra tensor reduction heavy mass expansion published