A new approach to the ϱ-meson in QCD

We examine whether strict local duality between the asymptotic and the resonance region, which is of course believed to be valid in QCD, already appears at the present stage of QCD calculations. For this purpose we propose a new method of stable analytic extrapolation which follows the spirit of a previously used method but has essential advantages compared to the original formulation. A careful analysis of the present QCD ϱ-amplitude leads indeed to a prominent bump structure in the resonance region. This is a first evidence for the validity of strictly local duality within QCD.