Further Precise Determinations of ${\alpha }_s$ from Lattice QCD

Abstract

We present a new determination of the strong coupling constant from lattice QCD simulations. We use four different short-distance quantities to obtain the coupling, three different (infrared) meson splittings to tune the simulation parameters, and a wide range of lattice spacings, quark masses, and lattice volumes to test for systematic errors. Our final result consists of ten different determinations of ${\alpha }_P^{(3)}(8.2GeV)$, which agree well with each other and with our previous results. The most accurate of these, when evolved perturbatively to the $Z^0$ mass, gives $α^{(5)}_{\msbar}(M_Z) = .1174(24)$. We compare our results with those obtained from other recent lattice simulations.

arXiv comment24 pages, LaTeX

References in corpus (17)

• On the Viability of Lattice Perturbation Theory
• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• The static quark-antiquark potential in QCD to three loops
• Lattice QCD on Small Computers
• Precision Upsilon Spectroscopy from Nonrelativistic Lattice QCD
• The Running Coupling from SU(3) Lattice Gauge Theory
• A Precise Determination of ${\alpha }_s$ from Lattice QCD
• A New Determination of M_b Using Lattice QCD
• QCD Matching Conditions at Thresholds
• Light Quark Masses from Lattice QCD
• The Three-Loop Lattice Free Energy
• Precision Charmonium Spectroscopy From Lattice QCD
• Quarkonium spin structure in lattice NRQCD
• Manifestation of Sea Quark Effects in the Strong Coupling Constant in Lattice QCD
• Simple Hadronic Matrix Elements with Wilson Valence Quarks and Dynamical Staggered Fermions at $6/{\mathbf{g}}^2=5.6$
• Errors in Lattice Extractions of alpha_s Due to Use of Unphysical Pion Masses
• Radial Excited States for Heavy Quark Systems in NRQCD

Cited by in corpus (52)

• Potential NRQCD: an effective theory for heavy quarkonium
• High-Precision Lattice QCD Confronts Experiment
• Insight into the Scalar Mesons from a Lattice Calculation
• The Upsilon spectrum and m_b from full lattice QCD
• Determination of the QCD Coupling ${\alpha }_s$
• On the running coupling constant in QCD
• The Renormalization Scale-Setting Problem in QCD
• Tetraquarks in a chiral constituent quark model
• Nucleon Decay Matrix Elements from Lattice QCD
• A Determination of the Lambda Parameter from Full Lattice QCD
• Accurate Determinations of ${\alpha }_s$ from Realistic Lattice QCD
• Asymptotic scaling of the gluon propagtor on the lattice
• Spectroscopy of doubly charmed baryons
• Spectra and M1 Decay Widths of Heavy-Light Mesons
• Update: Accurate Determinations of alpha_s from Realistic Lattice QCD
• Constituent quark model study of light- and strange-baryon spectra
• Kaon B parameter from quenched Lattice QCD
• First results on the running coupling in QCD with two massless flavours
• Scaling of the B and D meson spectrum in lattice QCD
• The Realistic Lattice Determination of alpha_s(M_Z) Revisited
• Comparative Study of full QCD Hadron Spectrum and Static Quark Potential with Improved Actions
• Determination of ${\Lambda }_{\overline{MS}}$ from quenched and $N_f=2$ dynamical QCD
• Recent results from lattice calculations
• Scaling of the Upsilon Spectrum in Lattice NRQCD
• Bottomonium Decay Matrix Elements from Lattice QCD with Two Light Quarks
• An Analytic Extension of the $\overline{MS}$ Renormalizaton Scheme
• Sea Quark Effects on Quarkonia
• Perturbative expansions from Monte Carlo simulations at weak coupling: Wilson loops and the static-quark self-energy
• Chiral Extrapolation, Renormalization, and the Viability of the Quark Model
• Scale setting for alpha_s beyond leading order
• Preliminary Calculation of ${\alpha }_s$ from Green Functions with Dynamical Quarks
• Alpha_S from Upsilon Spectroscopy with Dynamical Wilson Fermions
• The Confining Interaction and Radiative Decays of Heavy Quarkonia
• Tadpole renormalization and relativistic corrections in lattice NRQCD
• Improved Upsilon Spectrum with Dynamical Wilson Fermions
• Second Order Perturbation Theory for Improved Gluon and Staggered Quark Actions
• Scale- and scheme-independent extension of Pade approximants; Bjorken polarized sum rule as an example
• Unquenched calculation of alpha_s from Green functions: progress report
• The QCD Coupling Constant
• Testing improved staggered fermions with $m_s$ and $B_K$
• Heavy Quarks on the Lattice
• Direct Extraction of QCD Lambda MS-bar from e+e- Jet Observables
• Results on improved KS dynamical configurations: spectrum, decay constants, etc
• Light Gluino and the Running of alpha_s
• Perturbative Wilson loops from unquenched Monte Carlo simulations at weak couplings
• A nonperturbative determination of the O(a) improvement coefficient c_A and the scaling of f_pi and m^{MSbar}
• The $\pi -$Gluon Exchange Interaction Between Constituent Quarks
• Large Wilson loops with overlap and clover fermions: Two-loop evaluation of the b-quark mass shift and the quark-antiquark potential
• Lattice Improvement in Lattice Effective Field Theory
• Mean link versus average plaquette tadpoles in lattice NRQCD
• Where do perturbative and non-perturbative QCD meet?
• An Estimate of alpha_S from Bottomonium in Unquenched QCD