Towards the correlated analysis of perturbative QCD observables

Combining the trick of resummation of the π2-terms for the invariant QCD coupling and observables in the timelike region with fresh results on the 'analyticized' αan(Q2) and observables in the spacelike domain yields a self-consistent scheme, free of ghost troubles. The basic point of this joint construction is the 'dipole spectral relation' emerging from axioms of local QFT. We consider the issue of the heavy quark thresholds and devise a modified global IAA scheme for the experimental data analyses in the whole accessible spacelike and timelike domain. Such data in both the regions are presented in a form of nonpower perturbation series with improved convergence properties. Preliminary numerical estimates indicate that this global IAA scheme produces results a bit different - on a few per cent level for bar αs - from the usual one, thus influencing the total picture of the QCD parameters correlation