Measurement ofαs(Q2)from the Gross–Llewellyn Smith Sum Rule

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 $1<\mathrm{}{Q}^2<15\mathrm{}{\mathrm{GeV}}^2{/c}^2$. 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 $0.114{\pm }_{0.012}^{0.009}$. 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.