Quark contribution to the smallx evolution of color dipole
Abstract
The smallx deep inelastic scattering in the saturation region is governed by the nonlinear evolution of Wilsonlines operators. In the leading logarithmic approximation it is given by the BalitskyKovchegov (BK) equation for the evolution of color dipoles. In the nexttoleading order (NLO) the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quarkloop contribution to smallx evolution of Wilson lines in the NLO. It turns out that there are no new operators at the oneloop leveljust as at the tree level, the highenergy scattering can be described in terms of Wilson lines. In addition, from the analysis of quark loops I find that the argument of coupling constant in the BK equation is determined by the size of the parent dipole rather than by the size of produced dipoles. These results are to be supported by future calculation of gluon loops.
 Authors:
 Physics Department, Old Dominion University, Norfolk Virginia 23529 (United States)
 (United States)
 Publication Date:
 OSTI Identifier:
 20933216
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.014001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; COLOR MODEL; COUPLING CONSTANTS; DEEP INELASTIC SCATTERING; DIPOLES; EQUATIONS; GLUONS; MATHEMATICAL EVOLUTION; NONLINEAR PROBLEMS; QUANTUM CHROMODYNAMICS; QUARKS
Citation Formats
Balitsky, Ian, and Theory Group, Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606. Quark contribution to the smallx evolution of color dipole. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.014001.
Balitsky, Ian, & Theory Group, Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606. Quark contribution to the smallx evolution of color dipole. United States. doi:10.1103/PHYSREVD.75.014001.
Balitsky, Ian, and Theory Group, Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606. Mon .
"Quark contribution to the smallx evolution of color dipole". United States.
doi:10.1103/PHYSREVD.75.014001.
@article{osti_20933216,
title = {Quark contribution to the smallx evolution of color dipole},
author = {Balitsky, Ian and Theory Group, Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606},
abstractNote = {The smallx deep inelastic scattering in the saturation region is governed by the nonlinear evolution of Wilsonlines operators. In the leading logarithmic approximation it is given by the BalitskyKovchegov (BK) equation for the evolution of color dipoles. In the nexttoleading order (NLO) the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quarkloop contribution to smallx evolution of Wilson lines in the NLO. It turns out that there are no new operators at the oneloop leveljust as at the tree level, the highenergy scattering can be described in terms of Wilson lines. In addition, from the analysis of quark loops I find that the argument of coupling constant in the BK equation is determined by the size of the parent dipole rather than by the size of produced dipoles. These results are to be supported by future calculation of gluon loops.},
doi = {10.1103/PHYSREVD.75.014001},
journal = {Physical Review. D, Particles Fields},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}

The smallx deep inelastic scattering in the saturation region is governed by the nonlinear evolution of Wilsonlines operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles. In the NLO the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quarkloop contribution to smallx evolution of Wilson lines in the NLO. It turns out that there are no new operators at the oneloop leveljust as at the tree level, the highenergy scattering can be described in terms of Wilson lines. In addition, from the analysismore »

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