Supersymmetry (SUSY) stabilizes the hierarchy between the electroweak scale and the scale of grand unified theories (GUT) or the Planck scale. The simplest supersymmetric extension of the SM, the minimal supersymmetric SM (MSSM) solves several phenomenological problems, e.~g. the gauge couplings unify and the lightest supersymmetric particle (LSP) is a dark matter candidate. In this thesis, Jarlskog invariants, squark pair production at the LHC and massive neutrinos are discussed in the framework of the MSSM and its extensions. </p
