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

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

1998-08-19

arxiv.org/abs/hep-ex/9808015v2

Phys.Rev.Lett.81:3595-3598,1998

Physics

High Energy Physics

High Energy Physics - Experiment

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.81.3595

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 $\alpha^{3}_{s}$ theoretical predictions yields a determination of $\alpha_{s}$ 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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