Cargando…
Non-linear evolution and parton distributions at LHC and THERA energies
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 defi...
Autores principales: | , , , |
---|---|
Lenguaje: | eng |
Publicado: |
2001
|
Materias: | |
Acceso en línea: | https://dx.doi.org/10.1016/S0375-9474(01)01150-2 http://cds.cern.ch/record/489258 |
_version_ | 1780897008889888768 |
---|---|
author | Lublinsky, M Gotsman, E Levin, E Maor, U |
author_facet | Lublinsky, M Gotsman, E Levin, E Maor, U |
author_sort | Lublinsky, M |
collection | CERN |
description | 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 $x \approx 10^{-7}$. |
id | cern-489258 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2001 |
record_format | invenio |
spelling | cern-4892582019-09-30T06:29:59Zdoi:10.1016/S0375-9474(01)01150-2http://cds.cern.ch/record/489258engLublinsky, MGotsman, ELevin, EMaor, UNon-linear evolution and parton distributions at LHC and THERA energiesParticle Physics - PhenomenologyWe 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 $x \approx 10^{-7}$.hep-ph/0102321TAUP-2667oai:cds.cern.ch:4892582001-02-27 |
spellingShingle | Particle Physics - Phenomenology Lublinsky, M Gotsman, E Levin, E Maor, U Non-linear evolution and parton distributions at LHC and THERA energies |
title | Non-linear evolution and parton distributions at LHC and THERA energies |
title_full | Non-linear evolution and parton distributions at LHC and THERA energies |
title_fullStr | Non-linear evolution and parton distributions at LHC and THERA energies |
title_full_unstemmed | Non-linear evolution and parton distributions at LHC and THERA energies |
title_short | Non-linear evolution and parton distributions at LHC and THERA energies |
title_sort | non-linear evolution and parton distributions at lhc and thera energies |
topic | Particle Physics - Phenomenology |
url | https://dx.doi.org/10.1016/S0375-9474(01)01150-2 http://cds.cern.ch/record/489258 |
work_keys_str_mv | AT lublinskym nonlinearevolutionandpartondistributionsatlhcandtheraenergies AT gotsmane nonlinearevolutionandpartondistributionsatlhcandtheraenergies AT levine nonlinearevolutionandpartondistributionsatlhcandtheraenergies AT maoru nonlinearevolutionandpartondistributionsatlhcandtheraenergies |