Role of the ‘N’ in the natural NMSSM for the LHC

In this work, we present mass limits on gluinos and stops in a natural next-to-minimal supersymmetric Standard Model with a singlino as the lightest supersymmetric particle. Motivated by naturalness, we consider spectra with light Higgsinos, sub-TeV third generation sparticles and gluinos well below the multi-TeV regime while the electroweak gauginos, the sleptons and the first and second generation squarks are decoupled. We check that our natural supersymmetry spectra satisfy all electroweak precision observables and flavor measurements as well as theoretical constraints. By reinterpreting the results from the 8 TeV ATLAS supersymmetry searches we present the 95% C.L. exclusion limits on the model. The results show that the presence of a singlino lightest supersymmetric particle can lengthen decay chains and soften the final state particle energies. While this does reduce the strength of the bounds in some areas of parameter space, the LHC still displays good sensitivity to the model.