Renormalons at Low x

Abstract

The role of infrared and ultraviolet renormalons are discussed in context of leading log(1/x) approximation of perturbative QCD. We generalize the BFKL equation for the case of running coupling QCD constant and show that the uncertainties related to the contribution of infrared renormalons turn out to be smaller than the shadowing correction to the total cross section. The contribution of infrared and ultraviolet renormalons to the BFKL equation are studied, and the solution of the BFKL equation with running coupling constant is discussed.

30 pages ( latex ) + 18 figures (available from author)

References in corpus (5)

• Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes
• Deep inelastic scattering at HERA and the BFKL pomeron
• BFKL evolution and universal structure function at very small $x$
• The spectrum and solutions of the generalized BFKL equation for total cross section
• How to measure the intercept of the BFKL pomeron at HERA

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• Bootstrap and momentum transfer dependence in small x evolution equations
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• The description of F2 at small x incorporating angular ordering
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• Running Coupling Corrections to Nonlinear Evolution for Diffractive Dissociation
• Universality of traveling waves with QCD running coupling
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• High density QCD and nucleus-nucleus scattering deeply in the saturation region
• How to Run the Coupling in the Dipole Approach to the BFKL Equation
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x