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arXiv · 1308.3116

Evolution of transverse-distance dependent parton densities at large-$x_B$ and geometry of the loop space

I. O. Cherednikov·T. Mertens·P. Taels·F. F. Van der Veken
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Abstract

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.

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I. O. Cherednikov, T. Mertens, P. Taels, F. F. Van der Veken. 2013-08-14. Evolution of transverse-distance dependent parton densities at large-$x_B$ and geometry of the loop space. https://doi.org/10.1142/s2010194514600064

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