Exploring effects of strong interactions in enhancing masses of dynamical origin

TL;DR

This paper investigates how strong interactions can enhance the masses of particles generated dynamically, using a scalar field approach in massless QCD, and explores implications for the Higgs boson mass.

Contribution

It introduces a scalar field model for dynamical mass generation in massless QCD and predicts a scalar mass close to the Higgs boson, highlighting the need for more comprehensive SM considerations.

Findings

Predicted scalar field mass of 126.76 GeV.

Potential minimum fixed to match top quark mass of 175 GeV.

Large coupling constant indicating model simplifications.

Abstract

A previous study of the dynamical generation of masses in massless QCD is considered from another viewpoint. The quark mass is assumed to have a dynamical origin and is substituted by a scalar field without self-interaction. The potential for the new field background is evaluated up to two loops. Expressing the running coupling in terms of the scale parameter $\mu$, the potential minimum is chosen to fix $m_{top}=175$ $GeV$ when $\mu_0=498 $ $MeV$. The second derivative of the potential predicts a scalar field mass of 126.76 $GeV$. This number is close to the value 114 $GeV$ which, preliminary data taken at CERN, suggested to be associated with the Higgs particle. However, the simplifying assumptions limit the validity of the calculations done, as indicated by the large value of $\alpha=\frac {g^2}{4\pi}=1.077 $ obtained. However, supporting statements about the possibility of improving the scheme come from the necessary inclusion of weak and scalar field couplings and mass counterterms in the renormalization procedure, in common with the seemingly needed consideration of the massive W and Z fields, if the real conditions of the SM model are intended to be approached.