Renormalization group fixed point with a fourth generation: Higgs-induced bound states and condensates

In the Standard Model with four generations, the two-loop renormalization group equations for the Higgs quartic and Yukawa couplings show a quasi fixed point structure which does not appear at the one-loop level. This quasi fixed point behavior indicates a possible restoration of scale symmetry above some physical cut-off scale ΛFP${\Lambda }_{\mathrm{FP}}$. We conjecture that there exists a true fixed point which is reached at a similar energy scale. If the masses of the fourth family are sufficiently large, this cut-off scale, ΛFP${\Lambda }_{\mathrm{FP}}$, is situated in the range of a few TeV to the order of ¹⁰² TeV${10}^2\text{TeV}$, above which the Higgs quartic and Yukawa couplings become practically constant. We found that around ΛFP${\Lambda }_{\mathrm{FP}}$ the strong Yukawa couplings make it possible for the fourth generation to form bound states, including composite extra Higgs doublets. In this scenario the fourth generation condensates are obtained without introducing Technicolor or other unknown interactions.