Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1999-06-14
Phys.Rev. D60 (1999) 074502
Physics
High Energy Physics
High Energy Physics - Lattice
25 pages, 5 eps figures, revtex
Scientific paper
10.1103/PhysRevD.60.074502
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 alpha_S 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 flavours of Wilson quarks at intermediate masses and extrapolated to the chiral limit. Combining the N_f=2 result with the quenched result at equal lattice spacing we extrapolate to the physical number of light flavours to find a value of alpha_{\bar MS}^{(5)}(m_Z) = 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.
Eicker Norbert
Guesken S.
Hoeber Henning
Lippert Th.
Schilling Klaus
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