The Evolution of Unpolarized Singlet Structure Functions at Small x

Details The Evolution of Unpolarized Singlet Structure Functions at Small x The Evolution of Unpolarized Singlet Structure Functions at Small x

1997-12-31

arxiv.org/abs/hep-ph/9712546v3

Phys.Rev. D58 (1998) 014020

Physics

High Energy Physics

High Energy Physics - Phenomenology

50 pages Latex, including 13 eps-figures, and a style file; typos corrected, 1 reference added

Scientific paper

10.1103/PhysRevD.58.014020

A systematic study is performed of the impact of the various resummed small-$x$ contributions to the anomalous dimensions and coefficient functions on the evolution of unpolarized structure functions in deep-inelastic scattering. The proton structure functions $F_2^p$ and $F_L^p$ as well as the photon structure function $F_2^{\gamma}$ are considered together with the corresponding parton densities. The general analytic solution of the evolution equations in Mellin-$N$ space is derived, and different approximate solutions are compared. Potential effects of less singular small-$x$ terms in the anomalous dimension and coefficient functions are discussed.

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