Small-x Evolution of Structure Functions in the Next-to-Leading Order
- Physics Dept, Old Dominion Univ., Norfolk, VA 23529 (United States) and Theory Group, JLab, 12000 Jefferson Ave, Newport News, VA 23606 (United States)
The high-energy behavior of amplitudes in gauge theories can be reformulated in terms of the evolution of Wilson-line operators. In the leading order this evolution is governed by the nonlinear Balitsky-Kovchegov (BK) equation. The NLO corrections define the scale of the running-coupling constant in the BK equation and in QCD, its kernel has both conformal and non-conformal parts. To separate the conformally invariant effects from the running-coupling effects, we calculate the NLO evolution of the color dipoles in the conformal N = 4 SYM theory, then we define the 'composite dipole operator' with the rapidity cutoff preserving conformal invariance, and the resulting Moebius invariant kernel for this operator agrees with the forward NLO BFKL calculation.In QCD, the NLO kernel for the composite operators resolves in a sum of the conformal part and the running-coupling part.
- OSTI ID:
- 21325779
- Journal Information:
- AIP Conference Proceedings, Vol. 1182, Issue 1; Conference: 10. conference on the intersections of particle and nuclear physics, San Diego, CA (United States), 26-31 May 2009; Other Information: DOI: 10.1063/1.3293957; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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Small-x evolution of structure functions in the next-to-leading order
Small-x Evolution in the Next-to-Leading Order
Related Subjects
COLOR MODEL
CONFORMAL INVARIANCE
CORRECTIONS
COUPLING
COUPLING CONSTANTS
DIPOLES
GAUGE INVARIANCE
KERNELS
NONLINEAR PROBLEMS
PARTICLE KINEMATICS
PARTICLE RAPIDITY
QUANTUM CHROMODYNAMICS
STANDARD MODEL
STRUCTURE FUNCTIONS
SUPERSYMMETRY
WILSON LOOP
YANG-MILLS THEORY