MasterTwo: A Mathematica Package for the Automated Calculation of Two Loop Diagrams in the Standard Model and Beyond

TL;DR

MasterTwo is a Mathematica package that automates the calculation of two-loop Feynman diagrams in the Standard Model and beyond, simplifying complex integrals and algebraic manipulations.

Contribution

It introduces a comprehensive Mathematica package that automates two-loop diagram calculations, including tensor reduction and scalar integral evaluation, tailored for particle physics research.

Findings

Automates two-loop integral calculations in the Standard Model.

Simplifies tensor reduction and scalar integral evaluation.

Works fully within Mathematica for ease of use.

Abstract

The calculation of rare loop decays in the Standard Model of Particle Physics and its extensions is an extremely tedious work. The Mathematica package MasterTwo facilitates this task. It automatically calculates all loop integrals reducible to scalar integrals depending on up to two different masses independent of external momenta. MasterTwo consists of two sub packages, Fermions and Integrals. Whereas Fermions covers the standard Dirac Algebra, Integrals performs the Taylor expansion, partial fraction, tensor reduction and the integration of the thus achieved scalar integrals. The package works completely inside Mathematica and can be easily customised for both educational and research purposes.