Log(1/x) Gluon Distribution and Structure Functions in the Loop-Loop Correlation Model
Abstract
We consider the interaction of the partonic fluctuation of a scalar ``photon'' with an external color field to calculate the leading and next-to-leading order gluon distribution of the proton following the work done by Dosch-Hebecker-Metz-Pirner. We relate these gluon distributions to the short and long distance behavior of the cross section of an adjoint dipole scattering off a proton. The leading order result is a constant while the next-to-leading order result shows a ln(1/x) enhancement at small x. To get numerical results for the gluon distributions at the initial scale Q^2_0=1.8 GeV^2, we compute the adjoint dipole-proton cross section in the loop-loop correlation model. Quark distributions at the same initial scale are parametrized according to Regge theory. We evolve quark and gluon distributions to higher Q^2 values using the DGLAP equation and compute charm and proton structure functions in the small-x region for different Q^2 values.
Cite
@article{arxiv.hep-ph/0309155,
title = {Log(1/x) Gluon Distribution and Structure Functions in the Loop-Loop Correlation Model},
author = {H. -J. Pirner and A. I. Shoshi and G. Soyez},
journal= {arXiv preprint arXiv:hep-ph/0309155},
year = {2009}
}
Comments
13 pages, 10 figures,revised version,references added, typos corrected, to be published in Eur. Phys. Journal C