Universality of QCD traveling-waves with running coupling

Abstract

The Balitsky-Kovchegov QCD equation for rapidity evolution describing saturation effects at high energy admits universal asymptotic traveling-wave solutions when the nonlinear damping becomes effective. The asymptotic solutions fall in universality classes depending only on some specific properties of the solution of the associated linear equation. We derive these solutions for the recent QCD formulations of the Balitsky-Kovchegov equation with running coupling constant obtained from quark-loop calculation. While the associated linear solutions depend in different ways with observables and higher-order effects, we show that the asymptotic traveling-wave solutions all belong to the same universality class whose solutions are given. Hence the influence of saturation stabilizes the QCD evolution with respect to higher order effects and leads to universal features at high enough rapidity, such as the form of the traveling waves, the intercept of the saturation scale and geometric scaling in square-root of the rapidity.

16 pages, no figure, published version, with an augmented discussion on subasymptotic corrections

References in corpus (9)

• Quark contribution to the small-$x$ evolution of color dipole
• Triumvirate of Running Couplings in Small-x Evolution
• Solving The High Energy Evolution Equation Including Running Coupling Corrections
• Running coupling and power corrections in nonlinear evolution at the high--energy limit
• Quark loop contribution to BFKL evolution: Running coupling and leading-N_f NLO intercept
• Systematics of geometric scaling
• The dipole form of the quark part of the BFKL kernel
• On the coordinate representation of NLO BFKL
• QCD traveling waves beyond leading logarithms

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