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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...

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Detalles Bibliográficos
Autores principales: Lublinsky, M, Gotsman, E, Levin, E, Maor, U
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
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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 $x \approx 10^{-7}$.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
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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