Bottom Quark Mass with Calibrated Uncertainty

Abstract

We determine the bottom quark mass ${\hat{m}}_b$ from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD to $\mathcal{O}({\hat{\alpha }}_s^3)$. Our approach is based on the mutual consistency across a set of moments where experimental data are required for the resonance contributions only. Additional experimental information from the continuum region can then be used for stability tests and to assess the theoretical uncertainty. We find ${\hat{m}}_b({\hat{m}}_b)=(4180.2\pm 7.9)$ MeV for ${\hat{\alpha }}_s(M_Z)=0.1182$.

Comments: 20 pages, 7 figures