A measurement of $alph{a}_s(Q^2)$ from the Gross-Llewellyn Smith Sum Rule

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 $1<Q^2<15Ge{V}^2/c^2$. A comparison with the order ${\alpha }_s^3$ theoretical predictions yields a determination of ${\alpha }_s$ at the scale of the Z-boson mass of $0.114{\pm }_{.012}^{.009}$. 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.

4 pages, 4 figures

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