A Measurement of ${\alpha }_s(M_Z^2)$ from the Gross Llewellyn Smith Sum Rule

Abstract

The Gross Llewellyn Smith sum rule has been measured at different values of four-momentum transfer squared ($Q^2$) by combining the precise CCFR neutrino data with data from other deep-inelastic scattering experiments at lower values of $Q^2$. A comparison with the $\mathcal{O}({\alpha }_s^3)$ predictions of perturbative QCD yields a determination of ${\alpha }_s$ and its dependence on $Q^2$ in the range $1Ge{V}^2<Q^2<20Ge{V}^2$. Low \qsq\ tests have greater sensitivity to \alfs(\mztwo) than high \qsq\ tests, since at low $Q^2$, ${\alpha }_s$ is large and changing rapidly.

4 pages, ReVTeX, 2 figures in uuencoded file