Natural NMSSM after LHC Run I and the Higgsino dominated dark matter scenario

We investigate the impact of the direct searches for SUSY at LHC Run I on the naturalness of the Next-to-Minimal Supersymmetric Standard Model (NMSSM). For this end, we first scan the vast parameter space of the NMSSM to get the region where the fine tuning measures Delta(z) and Delta(h) at the electroweak scale are less than about 50, then we implement by simulations the constraints of the direct searches on the parameter points in the region. Our results indicate that although the direct search experiments are effective in excluding the points, the parameter intervals for the region and also the minimum reaches of Delta(z) and Delta(h) are scarcely changed by the constraints, which implies that the fine tuning of the NMSSM does not get worse after LHC Run I. Moreover, based on the results we propose a natural NMSSM scenario where the lightest neutralino (X) over tilde (0)(1) as the dark matter (DM) candidate is Higgsino-dominated. In this scenario, Delta(z) and Delta(h) may be as low as 2 without conflicting with any experimental constraints, and intriguingly (X) over tilde (0)(1) can easily reach the measured DM relic density due to its significant Singlino component. We exhibit the features of the scenario which distinguish it from the other natural SUSY scenario, including the properties of its neutralino-chargino sector and scalar top quark sector. We emphasize that the scenario can be tested either through searching for 3l+E-T(miss) signal at 14 TeV LHC or through future DM direct detection experiments.