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Title: Quark contribution to the small-x evolution of color dipole

Abstract

The small-x deep inelastic scattering in the saturation region is governed by the nonlinear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the Balitsky-Kovchegov (BK) equation for the evolution of color dipoles. In the next-to-leading order (NLO) the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quark-loop contribution to small-x evolution of Wilson lines in the NLO. It turns out that there are no new operators at the one-loop level--just as at the tree level, the high-energy 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:
 [1];  [2]
  1. Physics Department, Old Dominion University, Norfolk Virginia 23529 (United States)
  2. (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 small-x 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 small-x 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 small-x evolution of color dipole". United States. doi:10.1103/PHYSREVD.75.014001.
@article{osti_20933216,
title = {Quark contribution to the small-x evolution of color dipole},
author = {Balitsky, Ian and Theory Group, Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606},
abstractNote = {The small-x deep inelastic scattering in the saturation region is governed by the nonlinear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the Balitsky-Kovchegov (BK) equation for the evolution of color dipoles. In the next-to-leading order (NLO) the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quark-loop contribution to small-x evolution of Wilson lines in the NLO. It turns out that there are no new operators at the one-loop level--just as at the tree level, the high-energy 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}
}