Electroweak contributions to squark-pair production processes at the LHC

We study the electroweak (EW) contributions to squark-squark and sbottom-anti-sbottom production processes at the LHC within the framework of the Minimal Supersymmetric Standard Model (MSSM). Aiming at precise theoretical predictions, the EW contributions are considered up to next-to leading order (NLO) which are of O(α2sα). Since the EW interaction distinguishes flavor and chirality of the initial- and final-state quarks and squarks, respectively, the contributing processes are manifold and their interplay is non-trivial. All technical details needed in order to calculate the NLO EW contributions to the hadronic cross section for the abovementioned processes are given within this dissertation. This includes appropriate regularization and renormalization prescriptions and a proper treatment of mass singularities in order to get ultraviolet finite and infrared and collinear safe observables. Squark-squark production consists of 36 processes and the same amount for anti-squark- anti-squark production. The tree-level EW contributions of O(αsα+α2) and the NLO EW contributions are calculated for all processes. Depending on the flavor and chirality of the produced squarks, many interferences between EW-mediated and QCD-mediated diagrams give non-zero contributions at tree-level and NLO EW. While the tree-level EW contributions to the integrated cross section can reach the 20% level, the NLO EW corrections typically lower the LO prediction by a few percent. Sbottom-anti-sbottom pair production exhibits specific features like left-right mixing and the renormalization of the sbottom sector which has to be chosen with care in order to get reliable predictions. In addition, Yukawa couplings get enhanced for large values of tan β with the related need of resummation. This renders the computation of the electroweak contributions substantially different from the corresponding computations for squark-anti- squark and stop-anti-stop production. The tree-level EW contributions to the cross section including the previously unknown photon-induced channel is calculated and we present the first complete computation of the NLO EW contributions. For the scenarios considered, the effect of the EW contributions on the inclusive cross section is at the percent region. However, in kinematical distributions they can exceed the LO contribution by 10%. (orig.)