lepton forward-backward asymmetry in chargino-pair production can provide interesting constraints on virtual sleptons mediating the chargino decay [@Moortgat-Pick:2000uz]. Preliminary studies of mSUGRA points presented at this meeting show that at the LHC the use of a sophisticated Kolmogorov-Smirnov test for the dilepton mass spectra from the neutralino decay can at least distinguish the high-mass from low-mass scenarios and a lower limit on the universal scalar mass parameter $m_0$ can be determined [@Birkedal:2005cm]

Many interesting channels can be exploited to extract the basic supersymmetry parameters when combining experimental information from sharp edges in mass distributions at LHC with measurements of decay spectra and threshold excitation curves at an $e^+e^-$ collider with energy up to 1 TeV. From the simulated experimental data with their errors available global analysis programs [@Lafaye:2004cn] can exploit coherently masses, cross sections, branching ratios etc, to extract the Lagrangian parameters. The present quality of such an analysis for the SPS1a’ scenario can be judged from fig. \[fig:fit\](a) where the relative errors on parameter determination from LHC data and LHC+ILC are shown [@Bechtle:2005ns]. With the parameters extracted at the scale $\tilde{M}$, the reconstruction of the fundamental supersymmetric theory and the related microscopic picture of the mechanism breaking supersymmetry can 