We are certain that the electro-weak symmetry is a gauge symmetry and that the longitudinal components of the heavy vector bosons are the Goldstone bosons of a spontaneous breaking. We do not know the mechanism behind the breaking. If an elementary scalar field like the Higgs in the Standard Model is responsible we are left sensitive to heavy scales in nature like the unification scale or the Planck scale. Since we do not believe that the laws of nature require fine-tuned boundary conditions we expect a UV regulator not much above a TeV. In this talk I will review proposals that go beyond the paradigm of the Minimal Supersymmetric Standard Model (MSSM). Recently, models in which the Higgs is a pseudo-Goldstone boson have attracted a lot of attention due to their ability to solve the little hierarchy problem. In many realizations the Higgs potentially decays in a non-standard way due to the presence of additional light scalars.
I will introduce the general idea and show that this is naturally realized in non-minimal models with a composite Higgs or in supersymmetric, doubly protected models. I then present a simple supersymmetric model where the dominant decay mode of the lightest Higgs boson is h -> 2 eta where eta is a light pseudoscalar. The eta then decays into two jets (two gluons or two charm quarks). The eta is naturally light due to the way the symmetry is spontaneously broken. For such decays the Higgs mass can be smaller than 100 GeV without conflicting experiment. Although it seems hopeless at first to try to discover such a buried Higgs, new techniques using jet substructure seem very promising.
