Strong coupling constant from moments of quarkonium correlators revisited

Abstract

We revisit previous determination of the strong coupling constant from moments of quarkonium correlators in (2+1)-flavor QCD. We use previously calculated moments obtained with Highly Improved Staggered Quark (HISQ) action for five different quark masses and several lattice spacings. We perform a careful continuum extrapolations of the moments and from the comparison of these to the perturbative result we determine the QCD Lambda parameter, ${\Lambda }_{\overline{MS}}^{n_f=3}=332\pm 17\pm 2(scale)$ MeV. This corresponds to ${\alpha }_s^{n_f=5}(\mu =M_Z)=0.1177(12)$.

24 pages, 6 figures; data of Figs. 2-4 among the source files; primary data (figs. 1 and 6) available through arXiv:1901.06424)

References in corpus (12)

• The equation of state in (2+1)-flavor QCD
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• 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)
• Low energy moments of heavy quark current correlators at four loops
• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• Determination of the QCD coupling from the static energy and the free energy
• Moments of Heavy Quark Current Correlators at Four-Loop Order in Perturbative QCD
• Running coupling constant from position-space current-current correlation functions in three-flavor lattice QCD
• Strong coupling constant and quark masses from lattice QCD
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules

Cited by in corpus (15)

• FLAG Review 2021
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• FLAG Review 2024
• QCD Running Couplings and Effective Charges
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order
• Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point
• Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses
• Small-momentum expansion of heavy-quark correlators in the large-${\beta }_0$ limit and ${\alpha }_s$ extractions
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• Gross-Llewellyn Smith sum rule from lattice QCD
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Renormalization Group Improvement and QCD Sum Rules
• What can we learn from the radiative decays of the $D_{s1}(2460)$ meson?
• Pion $\beta$ decay and $\tau \to \pi \pi {\nu }_{\tau }$ beyond leading logarithms