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

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

2010-02-02

arxiv.org/abs/1002.0371v2

Phys.Rev.D82:074505,2010

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 7 figures, references updated

Scientific paper

10.1103/PhysRevD.82.074505

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 $\Lambda_{\overline{MS}}^{(3)}$. 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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