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.

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