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Total resummation of leading logarithms vs standard description of the Polarized DIS

B. I. Ermolaev, M. Greco, S. I. Troyan

hep-pharXiv:hep-ph/0610410

Abstract

Total resummation of leading logarithms of x contributing to the spin-dependent structure function g1 ensures its steep rise at small x. DGLAP lacks such a resummation. Instead, the DGLAP expressions for g1 are complemented with special phenomenological fits for the initial parton densities. The singular factors x-α in the fits mimic the resummation and also ensure the steep (power-like) rise of g1 at the small-x region. Furthermore, DGLAP by definition cannot describe the region of small Q2 whereas our approach can do it.

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