The bottom MS quark mass from sum rules at next-to-next-to-leading order

We determine the bottom MS quark mass mb and the quark mass in the potential subtraction scheme from moments of the bb̄ production cross section and from the mass of the Upsilon 1S state at next-to-next-to-leading order in a reorganized perturbative expansion that sums Coulomb exchange to all orders. We find mb(mb)=(4.25±0.08) GeV and mb,PS(2 GeV)=(4.59±0.08) GeV for the potential-subtracted mass at the scale 2 GeV, adopting a conservative error estimate.