Determination of the QCD coupling from the static energy and the free energy

Abstract

We present two determinations of the strong coupling \(α_s\). The first one is from the static energy at three-loop accuracy, and may be considered an update of earlier determinations by some of us. The new analysis includes new lattice data at smaller lattice spacings, and reaches distances as short as \(0.0237\,{\rm fm}\). We present a comprehensive and detailed estimate of the error sources that contribute to the uncertainty of the final result, ${\alpha }_s(M_Z)=0.11660_{-0.00056}^{+0.00110}$. The second determination is based on lattice data for the singlet free energy at finite temperature up to distances as small as \(0.0081\,{\rm fm}\), from which we obtain ${\alpha }_s(M_Z)=0.11638_{-0.00087}^{+0.00095}$.

23 pages, 14 figures,

References in corpus (36)

• The equation of state in (2+1)-flavor QCD
• The chiral and deconfinement aspects of the QCD transition
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• The static potential in QCD to two loops
• The five-loop beta function of Yang-Mills theory with fermions
• High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Three-loop static potential
• The infrared behaviour of the static potential in perturbative QCD
• Static QCD potential at three-loop order
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
• Determination of alpha_s from the QCD static energy
• The Renormalization Group Improvement of the QCD Static Potentials
• Determination of alpha_s from the QCD static energy: an update
• Equation of State in 2+1 Flavor QCD at High Temperatures
• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• Quark number susceptibilities at high temperatures
• The QCD static energy at NNNLL
• Color screening in (2+1)-flavor QCD
• Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass
• Analytic three-loop static potential
• The charm/bottom quark mass from heavy quarkonium at N${}^3$LO
• Bottom and Charm Mass determinations from global fits to $Q\bar{Q}$ bound states at N${}^3$LO
• Extraction of alpha_s from radiative Upsilon(1S) decays
• Quark masses and strong coupling constant in 2+1 flavor QCD
• Calibrating the Naïve Cornell Model with NRQCD
• Strong coupling constant and heavy quark masses in 2+1 flavor QCD
• Determination of ${\alpha }_s$ from static QCD potential with renormalon subtraction
• Polyakov loop correlator in perturbation theory
• SU(3) Yang Mills theory at small distances and fine lattices
• Review on the determination of alpha_s from the QCD static energy
• Evaluating the last missing ingredient for the three-loop quark static potential by differential equations

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• Determination of ${\alpha }_s(m_Z)$ by the non-perturbative decoupling method
• Strong coupling constant and quark masses from lattice QCD
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD
• The QCD Static Energy using Optimal Renormalization and Asymptotic Padé-approximant Methods
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules
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• Improved Standard-Model prediction for $K_L\to {\ell }^{+}{\ell }^{-}$
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