Fabio Dominguez, Jian-Wei Qiu, Bo-Wen Xiao, Feng Yuan
We show that the linearly polarized gluon distributions appear in the color
dipole model as we derive the full cross sections of the DIS dijet production
and the Drell-Yan dijet ($\gamma^*$ jet correlation) process. Together with the
normal Weizs\"acker-Williams gluon distribution, the linearly polarized one
will contribute to the DIS dijet production cross section as the coefficient of
the $\cos(2 \Delta \phi) $ term in the correlation limit. We also derive the
exact results for the cross section of the Drell-Yan dijet process, and find
that the linearly polarized dipole gluon distribution which is identical to the
normal dipole gluon distribution involves in the cross section. The results
obtained in this paper agree with the previous transverse momentum dependent
factorization study. We further derive the small-$x$ evolution of these
linearly polarized gluon distributions and find that they rise as $x$ gets
small at high energy.
View original:
http://arxiv.org/abs/1109.6293
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