The running fine structure constant α(E) via the Adler function

We present an up-to-date analysis for a precise determination of the effective fine structure constant and discuss the prospects for future improvements. We advocate to use a determination monitored by the Adler function which allows us to exploit perturbative QCD in an optimal well controlled way. Together with a long term program of hadronic cross section measurements at energies upto a few GeV, a determination of alpha(Mz) at a precision comparable to the one of the Z mass M-Z should be feasible. Presently alpha(E) at E > 1 GeV is the least precisely known of the fundamental parameters of the SM. Since, in spite of substantial progress due to new BaBar exclusive data, the region 1.4 to 2.4 GeV remains the most problematic one a major step in the reduction of the uncertainties are expected from VEPP-2000 [1] and from a possible high-energy option DAFNE-2 at Frascati [2]. The up-to-date evaluation reads Delta alpha((5))(had) (M-Z(2)) = 0.027515 +/- 0.000149 or alpha(-1)(M-Z(2)) = 128.957 +/- 0.020.