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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1016/0370-2693(96)00389-9

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 $10^{-4} \leq x \leq 10^{-2}$ at $Q^2=20$ GeV$^2$.

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