On the analytic solution of the Balitsky-Kovchegov evolution equation

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Abstract: The study presents an analytic solution of the Balitsky-Kovchegov (BK) equa-tion in a particular kinematics. The solution is written in the momentum space and based on the eigenfunctions of the truncated Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in the gauge adjoint representation, which was used for calculation of the Regge (Mandel-stam) cut contribution to the planar helicity amplitudes. We introduce an eigenfunction of the singlet BFKL equation constructed of the adjoint eigenfunction multiplied by a factor, which restores the dual conformal symmetry present in the adjoint and broken in the sin-glet BFKL equations. The proposed analytic BK solution correctly reproduces the initial condition and the high energy asymptotics of the scattering amplitude.

Original languageEnglish
Article number90
JournalJournal of High Energy Physics
Issue number6
StatePublished - 1 Jun 2015


  • Deep Inelastic Scattering
  • QCD


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