Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-09-04
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages, 3 figures, LaTeX, some discussion added, none of the results changed, version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.67.034014
In this paper we derive an integral equation for the evolution of unintegrated (longitudinally) polarized quark and gluon parton distributions. The conventional CCFM framework is extended at small x in order to incorporate the QCD expectations concerning the double ln^2(1/x) resummation at low x for the integrated distributions. Complete Altarelli-Parisi splitting functions are included, that makes the formalism compatible with the LO Altarelli-Parisi evolution at large and moderately small values of x. The obtained modified polarized CCFM equation is shown to be partially diagonalized by the Fourier-Bessel transform. Results of the numerical solution for this modified CCFM equation for the non-singlet quark distributions are presented.
Kwiecinski Jan
Maul Martin
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