Minimal composite Higgs model with light bosons

We analyze a composite Higgs model with the minimal content that allows a light standard-model-like Higgs boson, potentially just above the current CERN LEP limit. The Higgs boson is a bound state made up of the top quark and a heavy vector-like quark. The model predicts that only one other bound state may be lighter than the electroweak scale, namely a CP-odd neutral scalar. Several other composite scalars are expected to have masses in the TeV range. If the Higgs boson decay into a pair of CP-odd scalars is kinematically open, then this decay mode is dominant, with important implications for Higgs boson searches. The lower bound on the CP-odd scalar mass is loose, in some cases as low as $\sim 100$ MeV, being set only by astrophysical constraints.