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The Evolution of Unpolarized Singlet Structure Functions at Small x

Abstract

A systematic study is performed of the impact of the various resummed small- contributions to the anomalous dimensions and coefficient functions on the evolution of unpolarized structure functions in deep-inelastic scattering. The proton structure functions and as well as the photon structure function are considered together with the corresponding parton densities. The general analytic solution of the evolution equations in Mellin- space is derived, and different approximate solutions are compared. Potential effects of less singular small- terms in the anomalous dimension and coefficient functions are discussed.