Non-linear evolution and parton distributions at low x

Abstract

We suggest a new procedure for extrapolating the parton distributions from HERA to much higher energies. The procedure suggested consists of two steps. First, we solve the non-linear evolution equation. Second, we introduce a correcting function for which we write a DGLAP-type linear evolution equation. The nonlinear equation is solved numerically and estimates for the saturation scale, as well as for the gluon density at THERA and LHC energies are made.

4 pages, 7 figures. Talk given at 9th International Workshop on Deep Inelastic Scattering (DIS 2001), Bologna, Italy, 27 Apr - 1 May 2001)