The Gluon Distribution as a Function of F${}_2$ and dF${}_2$/dlnQ${}^2$ at small x. The Next-to-Leading Analysis

Abstract

We present a set of formulae to extract the gluon distribution function from the deep inelastic structure function F${}_2$ and its derivative dF${}_2$/dlnQ${}^2$ at small x in the leading and next-to-leading order of perturbation theory. The detailed analysis is given for new HERA data. The values of the gluon distribution are found in the range $10^{-4}\le x\le 10^{-2}$ at $Q^2=20$ GeV${}^2$.

9 pages, latex, 6 figures (uuencoded compressed tar-file). Figures are also available on request