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

TL;DR

This paper compares the effective potential and Bethe-Salpeter approaches to analyze the masses of composite scalar bosons, suggesting the Higgs could be a composite dilaton based on potential behavior.

Contribution

It demonstrates that the effective potential for a light composite scalar behaves like a  potential, supporting the dilaton hypothesis for the Higgs boson.

Findings

The effective potential suggests a  form for a light composite scalar.

The Higgs boson may be a composite dilaton.

The approach provides insights into composite scalar mass behavior.

Abstract

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 $\propto \Phi^4$ suggesting that if the Higgs boson is a composite scalar it may be a composite dilaton.