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

arXiv comment20 pages, 7 figures

References in corpus (40)

• Five-Loop Running of the QCD coupling constant
• The five-loop beta function of Yang-Mills theory with fermions
• Four-Loop Decoupling Relations for the Strong Coupling
• Three-Loop Polarization Function and $\mathcal{O}({\alpha }_s^2)$ Corrections to the Production of Heavy Quarks
• Charm and Bottom Quark Masses: an Update
• QCD Corrections to the $e^{+}{e}^{-}$ Cross Section and the $Z$ Boson Decay Rate
• 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
• Heavy Quark Current Correlators to O(α_s^2)
• Determination of ${\alpha }_s$ and heavy quark masses from recent measurements of $R(s)$
• 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)
• Quartic mass corrections to R_had at order α_s^3
• Heavy Quark Vacuum Polarization Function at O(alpha_s^2) and O(alpha_s^3)
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• QCD Parameters Correlations from Heavy Quarkonia
• Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)
• The charm/bottom quark mass from heavy quarkonium at N${}^3$LO
• Precise Charm- and Bottom-Quark Masses: Theoretical and Experimental Uncertainties
• QCD sum rule determination of the charm-quark mass
• Measurements of the ${\rm Y}(10860)$ and ${\rm Y}(11020)$ resonances via $\sigma (e^{+}{e}^{-}\to {\rm Y}(n\mathrm{S}){\pi }^{+}{\pi }^{-})$
• Accurate bottom-quark mass from Borel QCD sum rules for $f_B$ and $f_{B_s}$
• Bottom Quark Mass from ${\rm Y}$ Sum Rules to $\mathcal{O}({\alpha }_s^3)$
• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• The b-quark mass from non-perturbative $N_f=2$ Heavy Quark Effective Theory at $O(1/m_h)$
• Determination of $m_c$ and $m_b$ from quarkonium 1S energy levels in perturbative QCD
• Extracting alpha_s from Electron-Positron Annihilation around 10 GeV
• Quark-antiquark potential to order 1/m and heavy quark masses
• Precision Determination of Heavy Quark Masses and the Strong Coupling Constant
• m_c and m_b from M_B_c and improved estimate of f_B_c and f_B_c (2S)
• Analytic Reconstruction of heavy-quark two-point functions at O(α_s^3)
• Strong coupling constant and quark masses from lattice QCD
• Life of Π
• Updating m_c,b(m_c,b) from SVZ-Moments and their Ratios
• Charm Quark Mass with Calibrated Uncertainty