arXiv · 1601.06525
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.
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E. Iancu, J. D. Madrigal, A. H. Mueller, G. Soyez, D. N. Triantafyllopoulos. 2016-01-25. The collinearly-improved Balitsky-Kovchegov equation. https://doi.org/10.1016/j.nuclphysa.2016.01.052
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