Probing minimal supersymmetry at the LHC with the Higgs boson masses

The ATLAS and CMS collaborations report indications of a Higgs boson at M-h similar to 125 GeV. In addition, CMS data show a tenuous bump in the Z Z channel, at about 320 GeV. We make the bold assumption that it might be the indication of a secondary line corresponding to the heaviest scalar Higgs boson of minimal supersymmetry, H, and discuss the viability of this hypothesis. We discuss also the case of a heavier H. The relevance of the b (b) over bar decay channel is underlined.