Nonlinear evolution and parton distributions at LHC and THERA energies

M. Lublinsky; E. Gotsman; E. Levin; U. Maor

doi:10.1016/S0375-9474(01)01150-2

Nonlinear evolution and parton distributions at LHC and THERA energies

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

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	851-869
Number of pages	19
Journal	Nuclear Physics A
Volume	696
Issue number	3-4
DOIs	https://doi.org/10.1016/S0375-9474(01)01150-2
State	Published - 31 Dec 2001
Externally published	Yes

Keywords

12.38.Aw
12.38.Bx
14.70.Dj

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0375-9474(01)01150-2

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title = "Nonlinear evolution and parton distributions at LHC and THERA energies",

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.",

keywords = "12.38.Aw, 12.38.Bx, 14.70.Dj",

author = "M. Lublinsky and E. Gotsman and E. Levin and U. Maor",

note = "Funding Information: This research was supported in part by the BSF grant # 9800276, by the GIF grant # I-620-22.14/1999 and by Israeli Science Foundation, founded by the Israeli Academy of Science and Humanities.",

year = "2001",

month = dec,

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doi = "10.1016/S0375-9474(01)01150-2",

language = "English",

volume = "696",

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T1 - Nonlinear evolution and parton distributions at LHC and THERA energies

AU - Lublinsky, M.

AU - Gotsman, E.

AU - Levin, E.

AU - Maor, U.

N1 - Funding Information: This research was supported in part by the BSF grant # 9800276, by the GIF grant # I-620-22.14/1999 and by Israeli Science Foundation, founded by the Israeli Academy of Science and Humanities.

PY - 2001/12/31

Y1 - 2001/12/31

N2 - 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.

AB - 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.

KW - 12.38.Aw

KW - 12.38.Bx

KW - 14.70.Dj

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U2 - 10.1016/S0375-9474(01)01150-2

DO - 10.1016/S0375-9474(01)01150-2

M3 - Article

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SN - 0375-9474

VL - 696

SP - 851

EP - 869

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 3-4

ER -

Nonlinear evolution and parton distributions at LHC and THERA energies

Abstract

Keywords

ASJC Scopus subject areas

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