On the origin of the rise of $F_2$ at small $x$

Details On the origin of the rise of $F_2$ at small $x$ On the origin of the rise of $F_2$ at small $x$

1996-09-09

arxiv.org/abs/hep-ph/9609293v1

Mod.Phys.Lett.A12:887-897,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, latex +eps. files, 3 figures

Scientific paper

10.1142/S0217732397000911

We show that, provided that the non-perturbative input is regular at the right of the $\omega=0$ singularity of the dominant DGLAP anomalous dimension, the rise of $F_2$ at small $x,$ experimentally measured by the averaged observable $\lambda = <(\partial ln F_2)/(\partial ln 1/x)>,$ is input-independent in the perturbative $Q^2$ regime at small $x$. $(\partial ln xF)/(\partial ln Q^2)$ appears to be more input-dependent in the same range. The GRV-type parametrisations verify these properties. Other models, namely the BFKL kernel(QCD dipoles), DGLAP(hard pomeron singularity) give different predictions for $\lambda$. At moderate $Q^2,$ there is a possibility of distinguishing these different perturbative QCD predictions in the near future.

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