Precise ${\alpha }_s$ determination from charmonium sum rules

Abstract

The strong coupling, ${\alpha }_s$, governs perturbative Quantum Chromodynamics (QCD) and is one of the free parameters of the Standard Model. We introduce a new method that allows a precise extraction of ${\alpha }_s(m_Z)$ from dimensionless ratios of roots of moments of the charm-quark vector correlator. The ratios we use in our analysis have a rather weak logarithmic quark-mass dependence, starting at $\mathcal{O}({\alpha }_s^2)$, and can be obtained from experimental data with good precision, since they benefit from positive correlations among the individual experimentally determined moments. We perform a careful and conservative error analysis with special emphasis on uncertainties related to the truncation of perturbation theory, treating the renormalization scales such as to ensure order-by-order convergence. Our final result, with expressions at $\mathcal{O}({\alpha }_s^3)$, is ${\alpha }_s(m_Z)=0.1168\pm 0.0019$.

arXiv commentReferences added, enlarged discussion, results unchanged. Matches published version. 5 pages, 3 figures

References in corpus (41)

• Higgs mass and vacuum stability in the Standard Model at NNLO
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• QCD Decoupling at Four Loops
• Measurements of the Cross Section for e+e- -> hadrons at Center-of-Mass Energies from 2 to 5 GeV
• Revisiting the Global Electroweak Fit of the Standard Model and Beyond with Gfitter
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• Quark Mass and Field Anomalous Dimensions to $\mathcal{O}({\alpha }_s^5)$
• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Measurement of the Total Cross Section for Hadronic Production by e+e- Annihilation at Energies between 2.6-5 Gev
• The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Measurement of Charm Production Cross Sections in e+e- Annihilation at Energies between 3.97 and 4.26 GeV
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• The strong coupling from the revised ALEPH data for hadronic $\tau$ decays
• Determination of the QCD Coupling from ALEPH $\tau$ Decay Data
• Low energy moments of heavy quark current correlators at four loops
• Two-Loop Gluon-Condensate Contributions To Heavy-Quark Current Correlators: Exact Results And Approximations
• Precision Thrust Cumulant Moments at N^3LL
• A Precise Determination of ${\alpha }_s$ from the C-parameter Distribution
• Measurements of the cross sections for $e^{+}{e}^{-}\to \mathrm{hadrons}$ at 3.650, 3.6648, 3.773 GeV and the branching fraction for $\psi (3770)\to \mathrm{non}-D\bar{D}$
• The second physical moment of the heavy quark vector correlator at O(alpha_s^3)
• $R$ value measurements for $e^{+}{e}^{-}$ annihilation at 2.60, 3.07 and 3.65 GeV
• Heavy Quark Vacuum Polarization Function at O(alpha_s^2) and O(alpha_s^3)
• Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass
• Precision determination of the strong coupling constant within a global PDF analysis
• Determination of the QCD coupling from the static energy and the free energy
• A Measurement of the Total Cross Section for $e^{+}{e}^{-}\to hadrons$ at $\sqrt{s}$=10.52 GeV
• Uncertainties on ${\alpha }_S$ in the MMHT2014 global PDF analysis and implications for SM predictions
• Measurements of the continuum $R_{\mathrm{uds}}$ and $R$ values in $e^{+}{e}^{-}$ annihilation in the energy region between 3.650 and 3.872 GeV
• High statistics determination of the strong coupling constant in Taylor scheme and its OPE Wilson coefficient from lattice QCD with a dynamical charm
• Quark masses and strong coupling constant in 2+1 flavor QCD
• Measurement of Cross Sections for $D^0{\bar{D}}^0$ and $D^{+}{D}^{-}$ Production in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}=3.773$ GeV
• The strong coupling from $e^{+}{e}^{-}\to$ hadrons below charm
• Strong coupling constant and heavy quark masses in 2+1 flavor QCD
• Measurement of the Total Hadronic Cross Section in e+e- Annihilations below 10.56 GeV
• Resummation of Threshold, Low- and High-Energy Expansions for Heavy-Quark Correlators
• Analytic Reconstruction of heavy-quark two-point functions at O(α_s^3)
• Life of Π

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