QCD relations between structure functions at small x

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Latex (6 pages), 1 ps fig., sprocl, psfig; contribution to Madrid low x Workshop (Miraflores de la Sierra, Spain, June 18-21 1

Scientific paper

We present very simple non-integral relations between deep inelastic structure functions $F_L$, $F_2$ and the gluon distribution at small $x$ based on perturbative QCD which are useful for the phenomenological analysis of data at low $x$. As an application we extract the deep inelastic scattering cross-sections ratio $R= \sigma_L/\sigma_T$ in the range $10^{-4} \leq x \leq 10^{-2}$ from $F_2$ HERA data.

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