Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-11-30
Physics
High Energy Physics
High Energy Physics - Phenomenology
Invited talk at the XI Workshop on High Energy Spin Physics, Dubna, Russia, September 27 - October 1, 2005, 4 pages, LaTeX
Scientific paper
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^{-\alpha} 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.
Ermolaev B. I.
Greco Mario
Troyan S. I.
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