Automatation of decomposed multi-loop Feynman-graphs

Abstract

This thesis is an investigation into the link between momentum space Feynman graph integrals under a henge decomposition and parametric representation of Feynman graph integrals under a sector decomposition. A program is then constructed in the language Maple based on the method of henge decomposition and Feynman parameterization as a potential method to automatize the calculation of multi-loop Feynman graph calculations. The methods of henge decomposition and sector decomposition are explored with all the necessary background detail required for the understanding of the methods explained.