  We discuss the current status of theoretical and experimental constraints on
the real Higgs singlet extension of the Standard Model. For the second neutral
(non-standard) Higgs boson the full mass range from 1 GeV to 1 TeV accessible
at past and current collider experiments is considered. We present benchmark
scenarios for searches for an additional Higgs state in the real Higgs singlet
extension of the Standard Model in Run 2 of the LHC. We furthermore discuss
electroweak corrections to the H to hh partial decay width within this model.
