We construct a prototype BSM model based on the SU(3) color gauge group and a combination of 4 light (massless) and 8 heavy flavors. In the infrared, the SU(4) flavor chiral symmetry is spontaneously broken, while in the ultraviolet this model exhibits the properties of the Nf=12 conformal fixed point.
Renormalization group considerations predict the spectrum of such a system to show hyperscaling, i.e.~dimensionless ratios of hadron masses or decay constants are independent of the heavy mass. Hyperscaling is present for bound states of light, heavy, or a combination of heavy and light flavors and leads to a strongly predictive model. Despite chiral symmetry breaking, this system features a spectrum exhibiting a very non-QCD like behavior. Furthermore, the gauge coupling becomes an irrelevant parameter.
We support these expectations by presenting numerical results based on four different values of the heavy quark mass amh, up to six different values of the light quark mass amℓ, and include, for the first time, preliminary data at a second value of the gauge coupling β. Our model can be embedded in scenarios describing the Higgs boson either as a pseudo Nambu-Goldstone boson or a dilaton-like particle.
