Charm- and bottom-quark masses from perturbative QCD

Using a new result for the first moment of the hadronic production cross section at order O(alpha(3)(s)), and new data on the J/psi and psi(') resonances for the charm quark, we determine the (MS) over bar masses of the charm and bottom quarks to be (m) over bar (c)((m) over bar (c))=1.295 +/- 0.015 GeV and (m) over bar (b)((m) over bar (b))=4.205 +/- 0.058 GeV. We assume that the continuum contribution to the sum rules is adequately described by pQCD. While we observe a large reduction of the perturbative error, the shifts induced by the theoretical input are very small. The main change in the central value of m(c) is related to the experimental data. On the other hand, the value of m(b) is not changed by our calculation to the assumed precision.