On the Analytic Solution of the Balitsky-Kovchegov Evolution Equation

Understand

The study presents an analytic solution of the Balitsky-Kovchegov~(BK) equation 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~(Mandelstam) 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 singlet BFKL equations.
• The proposed analytic BK solution correctly reproduces the initial condition and the high energy asymptotics of the scattering amplitude.