Composite Higgs models on the lattice

Describing the Higgs boson as a bound state emerging from a new strongly coupled sector is attractive in light of experimental findings at the LHC. In this talk I will describe general properties of such composite Higgs models and present recent numerical investigations on the lattice. In addition I will highlight features of our model built on a conformal fixed point. This system is chirally broken in the infrared and exhibits, e.g., a slowly (“walking”) running coupling. On the lattice we realize this system by explicitly giving mass to some fermions, while keeping the others massless or light. Renormalisation group considerations predict that the spectrum of such a system shows hyperscaling. If the scale is set by the pseudoscalar decay constant F_pi approx 250 GeV the spectrum contains several resonances in the 2-3 TeV range, in addition to an isosinglet scalar that is around 750 GeV.