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arXiv · hep-ex/9808015

A measurement of $alpha_s(Q^2)$ from the Gross-Llewellyn Smith Sum Rule

J. H. Kim·D. A. Harris
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Abstract

We extract a set of values for the Gross-Llewellyn Smith sum rule at different values of 4-momentum transfer squared ($Q^{2}$), by combining revised CCFR neutrino data with data from other neutrino deep-inelastic scattering experiments for $1 < Q^2 < 15 GeV^2/c^2$. A comparison with the order $α^{3}_{s}$ theoretical predictions yields a determination of $α_{s}$ at the scale of the Z-boson mass of $0.114 \pm^{.009}_{.012}$. This measurement provides a new and useful test of perturbative QCD at low $Q^2$, because of the low uncertainties in the higher order calculations.

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J. H. Kim, D. A. Harris. 1998-08-20. A measurement of $alpha_s(Q^2)$ from the Gross-Llewellyn Smith Sum Rule. https://doi.org/10.1103/physrevlett.81.3595

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