Distinguishing between MSSM and NMSSM by combined LHC and ILC analyses

We show that the interplay between the LHC and the e^+ e^- International Linear Collider (ILC) with sqrt{s}=500 GeV might be crucial for the discrimination between the minimal and next-to-minimal supersymmetric standard model. We present an NMSSM scenario that cannot be distinguished from the MSSM if only the light neutralinos and the lightest chargino are kinematically accessible, even if one of the neutralinos has a significant singlino component. Mass predictions for the heavier neutralinos from the ILC analysis, followed by subsequent observation and identification at the LHC, may solve the problem. In our numerical example we include errors in the mass measurements and use standard methods of supersymmetric parameter determination.