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, and N. Yamada (JLQCD collaboration)

Phys. Rev. D 82, 074505 – Published 25 October 2010; Erratum Phys. Rev. D 89, 099903 (2014)

Abstract

We determine the strong coupling constant $α_{s}$ 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 $Λ_{\bar{MS}}^{(3)}$ . At the $Z$ boson mass scale, we obtain $α_{s}^{(5)} (M_{Z}) = 0.1181 (3) (\binom{+ 14}{- 12})$ , where the first error is statistical and the second is our estimate of various systematic uncertainties.

Received 1 February 2010

DOI:https://doi.org/10.1103/PhysRevD.82.074505

Erratum

Erratum: Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions [Phys. Rev. D 82, 074505 (2010)]

E. Shintani, S. Aoki, H. Fukaya, S. Hashimoto, T. Kaneko, T. Onogi, and N. Yamada (JLQCD Collaboration)

Phys. Rev. D 89, 099903 (2014)

Authors & Affiliations

E. Shintani^1,*, S. Aoki², H. Fukaya³, S. Hashimoto^4,5, T. Kaneko^4,5, T. Onogi³, and N. Yamada^4,5 (JLQCD collaboration)

¹RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
²Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
³Department of Physics, Osaka University, Toyonaka, Osaka 560-0043 Japan
⁴KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK)
⁵School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Ibaraki 305-8081, Japan

^*shintani@riken.jp

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Issue

Vol. 82, Iss. 7 — 1 October 2010

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