The strong coupling from $e^{+}{e}^{-}\to$ hadrons below charm

Abstract

We use a new compilation of the hadronic $R$-ratio from available data for the process $e^+e^-\to\mbox{hadrons}$ to determine the strong coupling, ${\alpha }_s$. We make use of all data for the $R$-ratio from threshold to a center-of-mass energy of 2 GeV by employing finite-energy sum rules. Data above 2 GeV, for which at present far fewer high-precision experimental data are available, do not provide much additional constraint but are fully consistent with the values for ${\alpha }_s$ we obtain. Quoting our results at the $\tau$ mass to facilitate comparison to the results obtained from analogous analyses of hadronic $\tau$-decay data, we find ${\alpha }_s(m_{\tau }^2)=0.298\pm 0.016\pm 0.006$ in fixed-order perturbation theory, and ${\alpha }_s(m_{\tau }^2)=0.304\pm 0.018\pm 0.006$ in contour-improved perturbation theory, where the first error is statistical, and the second error reflects our estimate of various systematic effects. These values are in good agreement with a recent determination from the OPAL and ALEPH data for hadronic $\tau$ decays.

31 pages, 9 figures

References in corpus (15)

• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Hadronic Z- and tau-Decays in Order alpha_s^4
• The five-loop beta function of Yang-Mills theory with fermions
• Improved predictions for g-2 of the muon and α_{\rm QED}(M_Z^2)
• alpha_s and the tau hadronic width: fixed-order, contour-improved and higher-order perturbation theory
• The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
• The strong coupling from the revised ALEPH data for hadronic $\tau$ decays
• Alpha_s(M_Z) from hadronic tau decays
• Unraveling duality violations in hadronic tau decays
• ${\alpha }_s$ from $\tau$ decays: contour-improved versus fixed-order summation in a new QCD perturbation expansion
• Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane
• Possible duality violations in tau decay and their impact on the determination of alpha_s
• Hyperasymptotics and quark-hadron duality violations in QCD
• The strong coupling from hadronic $\tau$ decays: a critical appraisal
• The strong coupling: a theoretical perspective

Cited by in corpus (21)

• The anomalous magnetic moment of the muon in the Standard Model
• The anomalous magnetic moment of the muon in the Standard Model: an update
• QCD Running Couplings and Effective Charges
• The strong coupling from an improved $\tau$ vector isovector spectral function
• Superasymptotic and hyperasymptotic approximation to the operator product expansion
• Precision physics with inclusive QCD processes
• REvolver: Automated running and matching of couplings and masses in QCD
• Disentangling QCD and New Physics in $D^{+}\to {\pi }^{+}{\ell }^{+}{\ell }^{-}$
• Renormalons in integrated spectral function moments and ${\alpha }_s$ extractions
• Violations of Quark-Hadron Duality in Low-Energy Determinations of ${\alpha }_s$
• Evidence against naive truncations of the OPE from $e^{+}{e}^{-}\to$ hadrons below charm
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules
• Precise ${\alpha }_s$ determination from charmonium sum rules
• Renormalization group summation and analytic continuation from spacelike to timeline regions
• Novel Method to Reliably Determine the QCD Coupling from $R_{\mathrm{uds}}$ Measurements and its effects to Muon $g-2$ and $\alpha (M_Z^2)$ within the Tau-Charm Energy Region
• Determining ${\alpha }_s$ from hadronic $\tau$ decay: the pitfalls of truncating the OPE
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
• Determination of Strong Coupling Constant from Inclusive Semileptonic Decays of Charmed Mesons
• Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data
• Determination of the Strong Coupling Constant ${\alpha }_s$ from Inclusive Semi-leptonic $B$ Meson Decays
• Perturbative QCD fitting of KEDR and BESIII $e^{+}{e}^{-}$ data for R(s) and ${\alpha }_s$ determination