Nonlinear evolution and parton distributions at LHC and THERA energies

M. Lublinsky, E. Gotsman*, E. Levin, U. Maor

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

51 Scopus citations

Abstract

We suggest a new procedure for extrapolating the parton distributions from HERA energies to higher energies at (THERA, LHC). The procedure suggested consists of two steps: first, we solve the nonlinear evolution equation which includes the higher-twist 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 nonlinear effects lead to damping of the gluon density by a factor of 2-3 at x≈10-7.

Original languageEnglish
Pages (from-to)851-869
Number of pages19
JournalNuclear Physics A
Volume696
Issue number3-4
DOIs
StatePublished - 31 Dec 2001

Funding

FundersFunder number
German-Israeli Foundation for Scientific Research and DevelopmentI-620-22.14/1999
United States-Israel Binational Science Foundation9800276
Israel Academy of Sciences and Humanities
Israel Science Foundation

    Keywords

    • 12.38.Aw
    • 12.38.Bx
    • 14.70.Dj

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