%0 Journal Article
%T Evolution of transverse-distance dependent parton densities at large-$x_B$ and geometry of the loop space
%A I. O. Cherednikov
%A T. Mertens
%A P. Taels
%A F. F. Van der Veken
%J Physics
%D 2013
%I arXiv
%R 10.1142/S2010194514600064
%X We discuss possible applications of the equations of motion in the generalized Wilson loop space to the phenomenology of the three-dimensional parton distribution functions in the large-$x_B$ approximation. This regime is relevant for future experimental programs to be launched at the (approved) Jefferson Lab 12 GeV upgrade and the (planned) Electron-Ion Collider. We show that the geometrical evolution of the Wilson loops corresponds to the combined rapidity and renormalization-group equation of the transverse-distance dependent parton densities in the large-$x_B$ factorization scheme.
%U http://arxiv.org/abs/1308.3116v1