Scalar coupling evolution in a non-perturbative QCD resummation scheme

TL;DR

This paper investigates the evolution of the Standard Model scalar coupling within a non-perturbative QCD framework where the coupling remains finite in the infrared, revealing significant effects on high-energy behavior.

Contribution

It introduces a non-perturbative QCD resummation scheme with an infrared finite coupling and analyzes its impact on the scalar coupling evolution in the Standard Model.

Findings

The QCD coupling becomes infrared finite due to a dynamical gluon mass.

The non-perturbative scheme affects the scalar coupling at high energies.

The scheme suggests modifications to the Standard Model RG flow in the infrared.

Abstract

We compute the Standard Model scalar coupling ($\lambda$) evolution in a particular QCD resummation scheme, where the QCD coupling becomes infrared finite due to the presence of a dynamically generated gluon mass, leading to the existence of a non-perturbative infrared fixed point. We discuss how this scheme can be fixed taking recourse to phenomenological considerations in the infrared region. The QCD $\beta$ function associated to this non-perturbative coupling when introduced into the SM renormalization group equations increases the $\lambda$ values at high energies.