Traveling waves and the renormalization group improved Balitsky-Kovchegov equation

Abstract

I study the incorporation of renormalization group (RG) improved BFKL kernels in the Balitsky-Kovchegov (BK) equation which describes parton saturation. The RG improvement takes into account important parts of the next-to-leading and higher order logarithmic corrections to the kernel. The traveling wave front method for analyzing the BK equation is generalized to deal with RG-resummed kernels, restricting to the interesting case of fixed QCD coupling. The results show that the higher order corrections suppress the rapid increase of the saturation scale with increasing rapidity. I also perform a "diffusive" differential equation approximation, which illustrates that some important qualitative properties of the kernel change when including RG corrections.

17 pages, 4 figures

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• QCD traveling waves beyond leading logarithms
• Universality of traveling waves with QCD running coupling
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• Non-linear evolution of unintegrated gluon density at large values of coupling constant
• The Effect of a Rapidity Gap Veto on the Discrete BFKL Pomeron
• Momentum space saturation model for deep inelastic scattering and single inclusive hadron production