Geometric Scaling and QCD Dynamics in DIS
Abstract
DIS data from HERA show a striking regularity as \sigma^{\gamma^* p} is a function of the ratio \tau=Q^2/Q_s^2(x) only. The scaling function shows a break at \tau ~ 1, which has been taken as an indication for saturation. However, besides saturation also the transition between dominance of k_t-ordered (DGLAP) and k_t-non-ordered (BFKL) evolution contributes to a break around this value of \tau, as well as the suppression for small Q^2 due to finite quark masses and confinement. In this paper we use a dipole cascade model based on Mueller's dipole model, which also includes energy conservation and pomeron mergins, to investigate the contributions of these different effects to the scaling behaviour. As a result we predict that the scaling function for \tau < 1 will be modified when data for Q^2 > 1 GeV^2 become available. We also investigate the scaling properties of the charm contribution and the impact parameter dependence of the saturation scale.
Cite
@article{arxiv.hep-ph/0702087,
title = {Geometric Scaling and QCD Dynamics in DIS},
author = {Emil Avsar and Gosta Gustafson},
journal= {arXiv preprint arXiv:hep-ph/0702087},
year = {2014}
}
Comments
references added, figures 2, 7 and 8 updated v3: reference added, some misprints corrected