Renormalization group improved sum rule analysis for the bottom-quark mass.

We study the effect of resumming large logarithms in the determination of the bottom quark mass through a nonrelativistic sum rule analysis. Our result is complete at next-to-leading-logarithmic accuracy and includes some known contributions at next-to-next-to-leading logarithmic accuracy. Compared to finite order computations, the reliability of the theoretical evaluation is greatly improved, resulting in a substantially reduced scale dependence and a faster convergent perturbative series. This allows us to significantly improve over previous determinations of the MS bottom quark mass, mb, from nonrelativistic sum rules. Our final figure reads mbmb 4:19 0:06 GeV