Abstract
QCD factorization approach in the field-theoretic description of the semi-inclusive hadronic processes in the large Bjorken x approximation implies extraction of the three-dimensional parton distribution functions as a convolution of a collinear jet function and soft transverse-distance dependent (TDD) function defined as a vacuum average of a partially light-like Wilson loop. The soft function can be interpreted, therefore, as an element of generalized loop space. A class of classically conformal-invariant transformations of the elements of this space is generated by the non-local area derivative operator which corresponds to a diffeomorphism in the loop space and determines equations of motion, the latter being associated with the rapidity evolution of the soft TDD functions. We propose a large-x TDD factorization framework and discuss practical applications of this approach to the phenomenology of the TDDs accessible in future experimental programs at the Jefferson Lab 12 GeV and the electron–ion collider.
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Cherednikov, I.O. Transverse-Distance Dependent Parton Densities in the Large-x Regime. Few-Body Syst 55, 303–308 (2014). https://doi.org/10.1007/s00601-014-0865-8
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DOI: https://doi.org/10.1007/s00601-014-0865-8