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 ${\hat{\alpha }}_s(M_Z)=0.1182$.

20 pages, 7 figures

References in corpus (17)

• The five-loop beta function of Yang-Mills theory with fermions
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• Precision determination of the CKM element Vcb
• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Charm and Bottom Quark Masses from Perturbative QCD
• Five-loop renormalisation of QCD in covariant gauges
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Low energy moments of heavy quark current correlators at four loops
• The second physical moment of the heavy quark vector correlator at O(alpha_s^3)
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)
• QCD sum rule determination of the charm-quark mass
• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• Quark-antiquark potential to order 1/m and heavy quark masses
• Strong coupling constant and quark masses from lattice QCD
• Charm Quark Mass with Calibrated Uncertainty