The collinearly-improved Balitsky-Kovchegov equation

Abstract

The high-energy evolution in perturbative QCD suffers from a severe lack-of-convergence problem, due to higher order corrections enhanced by double and single transverse logarithms. We resum double logarithms to all orders within the non-linear Balitsky-Kovchegov equation, by taking into account successive soft gluon emissions strongly ordered in lifetime. We further resum single logarithms generated by the first non-singular part of the splitting functions and by the one-loop running of the coupling. The resummed BK equation admits stable solutions, which are used to successfully fit the HERA data at small $x$ for physically acceptable initial conditions and reasonable values of the fit parameters.

4 pages, based on a talk presented at Quark Matter 2015, 27 Sep-3 Oct 2015, Kobe, Japan

References in corpus (5)

• NLO evolution of color dipoles
• Resumming double logarithms in the QCD evolution of color dipoles
• Collinearly-improved BK evolution meets the HERA data
• Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order
• Resummation of double collinear logs in BK evolution versus HERA data

Cited by in corpus (1)

• CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD