Natural MSSM after the LHC 8 TeV run

We investigate the impact of direct LHC SUSY searches on the parameter space of three natural scenarios in the MSSM. In the first case the spectrum consists of light stops, sbottoms, and Higgsino-like neutralinos, while the other particles are assumed to be out of the experimental reach. In the second case we consider an additional light gluino. Finally we study a more complex spectrum comprising also light sleptons, wino-like chargino, and a bino-like neutralino. We simulate in detail three LHC searches: stop production at ATLAS with 20.7/fb, CMS 11.7/fb inclusive search for squarks and gluinos with the variable αT, and CMS 9.2/fb electroweak production with 3 leptons in the final state. For each point in our scans we calculate the exclusion likelihood due to the individual searches and to their statistical combination. We calculate the fine-tuning measure of the points allowed by the LHC and the implications for the Higgs mass and other phenomenological observables: Higgs signal rates, the relic density, BR (Bs → µ+µ−), B