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Strong coupling constant from moments of quarkonium correlators revisited

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arxiv 2012.06193 v2 pith:2B7T37KA submitted 2020-12-11 hep-lat hep-ph

Peter Petreczky , Johannes Heinrich Weber This is my paper
classification hep-lathep-ph
keywords momentsconstantcorrelatorscouplinglambdaquarkquarkoniumstrong
verification ladder T0 review T1 audit T2 compute T3 formal
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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, $\Lambda_{\overline{MS}}^{n_f=3}=332 \pm 17 \pm 2(scale)$ MeV. This corresponds to $\alpha_s^{n_f=5}(\mu=M_Z)=0.1177(12)$.

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