particular scenario [@Moortgat-Pick:2005vs] that precision measurements of light chargino and neutralino masses at ILC with LHC data on heavier neutralino $\tilde{\chi}^0_3$ can point to an inconsistent set of SUSY parameters under a working hypothesis of MSSM. By a moderate rise of the collider energy to 650 GeV the MSSM hypothesis can be falsified and the true nature of nMSSM revealed.

\(a) (b) (c)\

![(a) (S)quark decay chains; figure from [@peskin]. (b) $\chi^2$ as a function of $m_{\tilde{\chi}^0_1}$; from [@Gjelsten:2005sv]. (c) Invariant dilepton mass spectrum for the decay chain. The OS-SF dilepton edge from heavy neutralino is between 200 GeV and 400 GeV; from [@Desch:2003vw]. \[fig:chain\]](GMO.eps "fig:"){width="4cm" height="4cm"}      ![(a) (S)quark decay chains; figure from [@peskin]. (b) $\chi^2$ as a function of $m_{\tilde{\chi}^0_1}$; from [@Gjelsten:2005sv]. (c) Invariant dilepton mass spectrum for the decay chain. The OS-SF dilepton edge from heavy neutralino is between 200 GeV and 400 GeV; from [@Desch:2003vw]. \[fig:chain\]](edges.eps "fig:"){width="4.2cm" height="4.3cm"}

In the MSSM R–parity implies that particles have $R_p$=+1 and their superpartners $R_p$=$-$1. Since $R_p$ is conserved, the LSP must be stable and becomes a candidate for dark matter particle. However, R–parity conservation has no strong theoretical justification since the superpotential admits explicit R–parity violation (${\slash\hspace{-2.5mm}{R}_{p}}$). At this meeting 