Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-02-02
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.
Aoki Sadao
Fukaya Hidenori
Hashimoto Shigehira
Kaneko Tak
Onogi Tetsuya
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