PT Journal AU Bridges, M Cranmer, K Feroz, F Hobson, M Ruiz de Austri, R Trotta, R TI A coverage study of the CMSSM based on ATLAS sensitivity using fast neural networks techniques SO Journal of High Energy Physics JI J. High Energy Phys. PY 2011 BP 012 EP 23pp VL 03 IS 3 DI 10.1007/JHEP03(2011)012 LA English DE Supersymmetry; Phenomenology AB We assess the coverage properties of confidence and credible intervals on the CMSSM parameter space inferred from a Bayesian posterior and the profile likelihood based on an ATLAS sensitivity study. In order to make those calculations feasible, we introduce a new method based on neural networks to approximate the mapping between CMSSM parameters and weak-scale particle masses. Our method reduces the computational effort needed to sample the CMSSM parameter space by a factor of similar to 10(4) with respect to conventional techniques. We find that both the Bayesian posterior and the profile likelihood intervals can significantly over-cover and identify the origin of this effect to physical boundaries in the parameter space. Finally, we point out that the effects intrinsic to the statistical procedure are conflated with simplifications to the likelihood functions from the experiments themselves. ER