Reconstruction of fundamental SUSY parameters at LHC and at a future linear collider

Unveiling the mechanism leading to supersymmetry breaking is among the outstanding questions for future colliders. Models will need to be scrutinized and their parameters assessed. The SPA project, a joint study of theorists and experimentalists, proposes a scheme based on a consistent set of conventions and input parameters for supersymmetry analyses at LHC and LC. Global analysis tools, like Fittino and SFitter, have been developed using this scheme and set a robust framework for such analyses. Using a set of hypothetical measurements at LHC and at a future LC, we will show how these colliders probe different sectors of the MSSM Lagrangian and how this complementarity increases our handle on the determination of the weak-scale parameters of the Lagrangian. In fact, the combination of the measurements of the LHC and the LC is essential to probe the complete MSSM weak-scale Lagrangian.