Role of the singular factors in the standard fits for initial parton densities
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Total resummation of double- and single- logarithms of x contributing to the spin-dependent structure function g_1 ensures its steep rise at small $x$. In the asymptotic limit x ->0, the resummation leads to the Regge behavior of g_1 and allows to calculate the non-singlet and singlet intercepts of g_1. DGLAP lacks such a resummation but suggests special phenomenological fits for the initial parton densities such that the singular factors x^{-α} in the fits mimic the resummation and also provide g_1 with the steep (power-like) rise at the small-x region. Accounting for the total resummaton of logarithms of x allows to drop the singular factors in the fits and leads to remarkable simplifications of the fits.
Invited talk at the XI Workshop on High Energy Spin Physics, Dubna, Russia, September 27 - October 1, 2005, 4 pages, LaTeX
Invited talk at the XI Workshop on High Energy Spin Physics, Dubna, Russia, September 27 - October 1, 2005, 4 pages, LaTeX