Gluons from logarithmic slopes of $F_{2}$ in the NLL approximation

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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5 pages+(3 figures append as PS file), INP Report 1666/PH (1994)

Scientific paper

10.1016/0370-2693(94)91509-1

We make a critical, next-to-leading order, study of the accuracy of the Prytz relation, which is frequently used to extract the gluon distribution at small $x$ from the logarithmic slopes of the structure function $F_{2}$. We find that the simple relation is not generally valid in the Hera regime, but show that it is a reasonable approximation for gluons which are sufficiently singular at small $x$.

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