Article,

Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions

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Physical Review D, (Oct 29, 2010)
DOI: 10.1103/physrevd.82.074505

Abstract

We determine the strong coupling constant \$\alpha\_s\$ from a lattice calculation of vacuum polarization functions (VPF) in three-flavor QCD with dynamical overlap fermions. Fitting lattice data of VPF to the continuum perturbative formula including the operator product expansion, we extract the QCD scale parameter \$Łambda\_MS^(3)\$. At the \$Z\$ boson mass scale, we obtain \$\alpha\_s^(5)(M\_Z)=0.1181(3)(^+14\_-12)\$, where the first error is statistical and the second is our estimate of various systematic uncertainties.

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