Journal Article FZJ-2019-01094

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α S from Υ spectroscopy with dynamical Wilson fermions

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1999
Inst.812068 Melville, NY

Physical review / D 60(7), 074502 () [10.1103/PhysRevD.60.074502]

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Abstract: We estimate the QCD coupling constant from a lattice calculation of the bottomonium spectrum. The second order perturbative expansion of the plaquette expectation value is employed to determine αS at a scale set by the 2S−1S and 1P−1S level splittings. The latter are computed in NRQCD in a dynamical gauge field background with two degenerate flavors of Wilson quarks at intermediate masses and extrapolated to the chiral limit. Combining the Nf=2 result with the quenched result at equal lattice spacing we extrapolate to the physical number of light flavors to find a value of α(5)¯MS(mZ)=0.1118(17). The error quoted covers both statistical and systematic uncertainties in the scale determination. An additional 5% uncertainty comes from the choice of the underlying sea quark formulation and from truncation errors in perturbative expansions.

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