With the next generation of colliders around the corner theoreticians are pressed to satisfy the ever Increasing demand for high precision predictions in the Standard Model of particle physics. I propose to give my special attention to two selected topics within this framework.
1. Electro weak one-loop radiative corrections to top pair production at a future linear electron-positron collider with a special emphasis on the decay products of the top pair, leading To a six-body final-state. Based upon the tool DIANA - which after specification of the various Feynman rules in a given gauge generates all the relevant Feynamn diagrams in symbolic notation Designed for further algebraic manipulation - the calculation can be subdivided into various parts. Factorizable diagrams can be identified and one-particle irreducible loop-corrections can be Calculated in a modular manner for various topologies, such as self-energies, vertices and box Diagrams. Similar methods will be applied for non-factorizable diagrams. This project shall be Manifest in a Monte Carlo generator ready to be used by the experimental community.
2. Two-loop QED corrections to Bhabha scattering including finite electron masses. Real and Virtual corrections will be calculated separately. As reference cross section to measure the Luminosity experimental relevance is guaranteed.