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.
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Bondarenko, S., Prygarin, A. On the analytic solution of the Balitsky-Kovchegov evolution equation. J. High Energ. Phys. 2015, 90 (2015). https://doi.org/10.1007/JHEP06(2015)090
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DOI: https://doi.org/10.1007/JHEP06(2015)090