The collinearly-improved Balitsky–Kovchegov equation

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 suc...

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Bibliographic Details
Published in:Nuclear physics. A Vol. 956; pp. 557 - 560
Main Authors: Iancu, E., Madrigal, J.D., Mueller, A.H., Soyez, G., Triantafyllopoulos, D.N.
Format: Journal Article
Language:English
Published: Elsevier B.V 01-12-2016
Online Access:Get full text
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Summary: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.
ISSN:0375-9474
DOI:10.1016/j.nuclphysa.2016.01.052