Strong coupling constant from moments of quarkonium correlators revisited

Abstract

Abstract We revisit previous determination of the strong coupling constant from moments of quarkonium correlators in (2 + 1)-flavor QCD. We use previously calculated moments obtained with Highly Improved Staggered Quark (HISQ) action for five different quark masses and several lattice spacings. We perform a careful continuum extrapolations of the moments and from the comparison of these to the perturbative result we determine the QCD Lambda parameter, $$\varLambda _{\overline{MS}}^{n_f=3}=332 \pm 17 \pm 2(scale)$$ Λ MS ¯ n f = 3 = 332 ± 17 ± 2 ( s c a l e ) MeV. This corresponds to $$\alpha _s^{n_f=5}(\mu =M_Z)=0.1177(12)$$ α s n f = 5 ( μ = M Z ) = 0.1177 ( 12 ) .