A Bayesian fit to HERA total and charm cross-section data constrains the NLO Balitsky-Kovchegov initial condition and provides posterior samples for uncertainty propagation.
Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence
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abstract
The solution to the impact-parameter dependent Balitsky-Kovchegov equation with the collinearly improved kernel is studied in detail. The solution does not present the phenomenon of Coulomb tails at large impact parameters that have affected previous studies. The origin of this behaviour is explored numerically. It is found to be linked to the fact that this kernel suppresses large daughter dipoles. Solutions based on a physics motivated form of the initial condition are used to compute predictions for structure functions of the proton and the exclusive photo- and electroproduction of vector mesons. A reasonable agreement is found when comparing to HERA and LHC data.
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Initial condition for the Balitsky-Kovchegov equation at next-to-leading order
A Bayesian fit to HERA total and charm cross-section data constrains the NLO Balitsky-Kovchegov initial condition and provides posterior samples for uncertainty propagation.