(g− 2)μand α(M2Z) re-evaluated using new precise data

Abstract
We update our standard model predictions for g - 2 of the muon and for the hadronic contributions to the running of the QED coupling, Delta alpha((5))(had)(M-Z(2)). Particular emphasis is put on recent changes in the hadronic contributions from new data in the 2 pi channel and from the energy region just below 2 GeV. In particular, for the e(+)e(-) -> pi(+)pi(-) contribution we include the recent 'radiative return' data from KLOE and BaBar. We also include the recent BaBar data on other exclusive channels. We make a detailed study of the effect of replacing the measurements of the inclusive cross section, sigma(e(+)e(-) -> hadrons), by the sum of the exclusive channels in the energy interval 1.43 < root s < 2 GeV, which includes a QCD sum-rule analysis of this energy region. Our favoured prediction for the muon anomalous magnetic moment is (g - 2)/2 = (11 659 182.8 +/- 4.9) x 10(-10) which is 3.3 sigma below the present world-average measurement. We compare our g - 2 value with other recent calculations. Our prediction for the QED coupling, obtained via Delta alpha((5))(had)(M-Z(2)) = (276.26 +/- 1.38) x 10(-4), is alpha(M-Z(2))(-1) = 128.944 +/- 0.019.