A key question after the initial discovery of a Higgs boson is the structure of the underlying sector. The observed boson could just be a first indication of a new family of new bosons, which might possibly lead into a whole realm of New Physics. The LHC, currently the collider with the largest energy ever achieved, offers unique possibilities as a discovery machine. One scenario involving heavy Higgs bosons is offered by super-symmetric extensions of the Standard Model. Our group has strongly contributed to the latest search for super-symmetric Higgs bosons, which in the meantime extends over a mass range of up to 1.7 TeV.