@Article{Hoang_etal2012, author="Hoang, A. H. and Ruiz-Femenia, P. and Stahlhofen, M.", title="Renormalization group improved bottom mass from (gamma) sum rules at NNLL order", journal="Journal of High Energy Physics", year="2012", publisher="Springer", volume="10", number="10", pages="188--30pp", optkeywords="Heavy Quark Physics; Sum Rules; QCD", abstract="We determine the bottom quark mass from non-relativistic large-n gamma sum rules with renormalization group improvement at next-to-next-to-leading logarithmic order. We compute the theoretical moments within the vNRQCD formalism and account for the summation of powers of the Coulomb singularities as well as of logarithmic terms proportional to powers of alpha(s) ln(n). The renormalization group improvement leads to a substantial stabilization of the theoretical moments compared to previous fixed-order analyses, which did not account for the systematic treatment of the logarithmic alpha(s) ln(n) terms, and allows for reliable single moment fits. For the current world average of the strong coupling (alpha(s) (M-Z) = 0.1183 +/- 0.0010) we obtain M-b(1S) = 4.755 +/- 0.057(pert) +/- 0.009 alpha(s) +/- 0.003(exp) GeV for the bottom 1S mass and (m) over bar (b) ((m) over bar (b)) = 4.235 +/- 0.055(pert) +/- 0.003(exp) GeV for the bottom (MS) over bar mass, where we have quoted the perturbative error and the uncertainties from the strong coupling and the experimental data.", optnote="WOS:000310851300011", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1231), last updated on Thu, 13 Dec 2012 12:09:01 +0000", issn="1126-6708", doi="10.1007/JHEP10(2012)188", opturl="http://arxiv.org/abs/1209.0450", opturl="https://doi.org/10.1007/JHEP10(2012)188", archivePrefix="arXiv", eprint="1209.0450", language="English" }