Composite scalar bosons masses: Effective potential versus Bethe-Salpeter approach

Ten years ago the $125$ GeV Higgs resonance was discovered at the LHC[1,2], if this boson is a fundamental particle or a particle composed of new strongly interacting particles is still an open question. If this is a composite boson there are still no signals of other possible composite states of this scheme, a possible solution to this problem was recently discussed in Refs.[30,31], where it is argued that the Higgs boson can be a composite dilaton [30]. In this work, considering an effective potential for composite operators we verify that the potential responsible for a light composite scalar boson of $O(120)GeV$, behaves like $\propto {\mathrm{\Phi }}^4$ suggesting that if the Higgs boson is a composite scalar it may be a composite dilaton.