Role of the singular factors in the standard fits for initial parton densities
Abstract
Total resummation of double- and single- logarithms of x contributing to the spin-dependent structure function g1 ensures its steep rise at small x. In the asymptotic limit x ->0, the resummation leads to the Regge behavior of g1 and allows to calculate the non-singlet and singlet intercepts of g1. 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 g1 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.
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