GEFICOM: Automated Generation and Computation of Feynman Diagrams in Quantum Chromodynamics up to Three Loops

The interpretation of electroweak precision data in particle physics makes it necessary to compute higher-order quantum corrections in perturbation theory. The traditional manual treatment of the corresponding Feynman diagrams is limited by the large amount of their occurrence and the enormous complexity of the mathematical expressions. In the framework of our research project in quantum chromodynamics, we have succeeded in automating the generation and computation of Feynman diagrams up to three loops. This is insofar a methodical breakthrough as with conventional methods only a limited class of two-loop diagrams could be computed. Our method makes a lot of new and physically interesting applications accessible.