Supersymmetry without a light Higgs boson

Motivated by the absence, so far, of any direct signal of conventional low-energy supersymmetry, we explore the consequences of making the lightest Higgs boson in supersymmetry relatively heavy, up to about 300 GeV, in the most straightforward way, i.e. via the introduction of a chiral singlet S with a superpotential interaction with the Higgs doublets, lambda SH1H2. The coupling lambda dominates over all the other couplings and, to maintain the successful perturbative analysis of the electroweak precision tests, is only restricted to remain perturbative up to about 10 TeV. The general features of this lambda SUSY framework, which deviates significantly from the minimal supersymmetric standard model or the standard next to minimal supersymmetric standard model, are analyzed in different areas: electroweak precision tests, dark matter, naturalness bounds on superparticle masses, and LHC signals. There is a rich Higgs/Higgsino sector in the (200-700) GeV mass region, which may include LSP Higgsino dark matter. All other superpartners, apart from the top squarks, may naturally be heavier than 1-2 TeV.