Non-linear evolution and parton distributions at LHC and THERA energies

Details Non-linear evolution and parton distributions at LHC and THERA energies Non-linear evolution and parton distributions at LHC and THERA energies

2001-02-27

arxiv.org/abs/hep-ph/0102321v1

Nucl.Phys. A696 (2001) 851-869

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 28 figures

Scientific paper

10.1016/S0375-9474(01)01150-2

We suggest a new procedure for extrapolating the parton distributions from HERA energies to higher energies at THERA and LHC. The procedure suggested consists of two steps: first, we solve the non-linear evolution equation which includes the higher twists contributions, however this equation is deficient due to the low ($log(1/x)$) accuracy of our calculations. Second, we introduce a correcting function for which we write a DGLAP type linear evolution equation. We show that this correcting function is small in the whole kinematic region and decreases at low $x$. The nonlinear evolution equation is solved numerically and first estimates for the saturation scale, as well as for the value of the gluon density at THERA and LHC energies are made. We show that non-linear effects lead to damping of the gluon density by a factor of $2 \div 3$ at $x \approx 10^{-7}$.

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