  A rather high Higgs mass, m_h = 126 GeV, suggests that at least a part of the
supersymmetric spectrum of the MSSM may live beyond O(1TeV) and hence
inaccessible to the LHC. However, there are theoretical and phenomenological
reasons supporting a possibility that charginos and neutralinos remain much
closer to the electroweak scale. In this paper, we explore such a scenario in
the light of recent Higgs measurements, mainly its di-photon decay rate, where
the data might indicate a slight excess over the SM prediction. That excess
could be fitted by the contribution of light charginos provided tan(beta) is
low to moderate, a possibility that is receiving much attention for other
theoretical reasons. We investigate the implications of this scenario for other
observables, such as dark matter constraints, electroweak observables and
experimental signals at the LHC, like di-lepton, tri-lepton and same-sign
dilepton. An important part of the models survive all the constraints and are
able to give positive signals at LHC-14TeV and/or XENON1T.
