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

E. Shintani; S. Aoki; H. Fukaya; S. Hashimoto; T. Kaneko; T. Onogi; N. Yamada

doi:10.1103/PhysRevD.82.074505; 10.1103/PhysRevD.89.099903

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

High Energy Physics - Lattice 2014-09-05 v3 High Energy Physics - Phenomenology

Authors: E. Shintani , S. Aoki , H. Fukaya , S. Hashimoto , T. Kaneko , T. Onogi , N. Yamada

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

Keywords

strong coupling constant lattice QCD vacuum polarization functions overlap fermions operator product expansion QCD scale parameter

Cite

@article{arxiv.1002.0371,
  title  = {Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions},
  author = {E. Shintani and S. Aoki and H. Fukaya and S. Hashimoto and T. Kaneko and T. Onogi and N. Yamada},
  journal= {arXiv preprint arXiv:1002.0371},
  year   = {2014}
}

Comments

15 pages, 7 figures, references updated. After correction of error in code, final value is changed, see Erratum Phys.Rev.D89,099903 (2014)

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

Abstract

Keywords

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