We present an efficient method of reconstructing the parameters of the Constrained MSSM from assumed future LHC data, applied both on their own right and in combination with the cosmological determination of the relic dark matter abundance. Focusing on the ATLAS SU3 benchmark point, we show that our method can recover the values of its parameters in a priorindependent way. We quantify the improvement in constraining the parameters by applying additional information about the relic abundance at the level of WMAP accuracy. We show that a further tightening of the cosmological dark matter constraints, as expected from Planck, will have only a very limited impact. Further external data may be required to break some remaining degeneracies. We argue that the method presented here is applicable to a wide class of lowenergy effective supersymmetric models, as it does not require to deal with purely experimental issues, e.g., detector performance, and has the additional advantages of computational efficiency. Furthermore, our approach allows one to distinguish the effect of the model’s internal structure and of the external data on the final parameters constraints
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