"Massive" Perturbative QCD, regular in the IR limit
Abstract
The goal of research is to devise a modification of the perturbative QCD that should be regular in the low-energy region and could serve as a practical means for the analysis of data below 1 up to the IR limit. Recent observation of the four-loop pQCD series "blow-up" in the region below 1 for the Bjorken Sum Rule gave an impetus to this attempt. The proposed "massive analytic pQCD" is constructed on the two grounds. The first is the pQCD with only one parameter added, the effective "glueball mass" mgl 1 , serving as an IR regulator. The second stems out of the ghost-free Analytic Perturbation Theory comprising non-power perturbative expansion that makes it compatible with linear integral transformations. In short, the proposed MAPT differs from the minimal APT by simple ansatz Q2 Q2+mgl2.