Higgs boson mass predictions in supergravity unification, recent LHC-7 results, and dark matter

LHC-7 has narrowed down the mass range of the light Higgs boson. This result is consistent with the supergravity unification framework, and the current Higgs boson mass window implies a rather significant loop correction to the tree value, pointing to a relatively heavy scalar sparticle spectrum with universal boundary conditions. It is shown that the largest value of the Higgs boson mass is obtained on the hyperbolic branch of radiative breaking. The implications of light Higgs boson in the broader mass range of 115GeV to 131GeV and a narrower range of 123GeV to 127GeV are explored in the context of the discovery of supersymmetry at LHC-7 and for the observation of dark matter in direct detection experiments.