Scalar coupling evolution in a non-perturbative QCD resummation scheme

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.

Comments: 4 pages, 1 figure, The manuscript has been rewritten and quite shortened, one equation corrected, the title has been changed and the conclusions remain the same