TY  - JOUR
AU  - Hoang, A. H.
AU  - Ruiz-Femenia, P.
AU  - Stahlhofen, M.
PY  - 2012
DA  - 2012//
TI  - Renormalization group improved bottom mass from (gamma) sum rules at NNLL order
T2  - J. High Energy Phys.
JO  - Journal of High Energy Physics
SP  - 188
EP  - 30pp
VL  - 10
IS  - 10
PB  - Springer
KW  - Heavy Quark Physics
KW  - Sum Rules
KW  - QCD
AB  - 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.
SN  - 1126-6708
UR  - http://arxiv.org/abs/1209.0450
UR  - https://doi.org/10.1007/JHEP10(2012)188
DO  - 10.1007/JHEP10(2012)188
LA  - English
N1  - WOS:000310851300011
ID  - Hoang_etal2012
ER  -