The next-To-leading order α_s corrections to Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner (JIMWLK) equation

The rapidity (energy) evolution of hadronic observables in scattering of a diluted, perturbative projectile, on a dense gluonic target is described in QCD by the JIMWLK equation [1]. This is a functional non-linear equation that is consistent with the QCD unitarity and reduces to the linear Balitsky, Fadin, Kuraev, Lipatov (BFKL) equation [2] when the scattering probability is low. Recently, there was major progress in this field. The NLO JIMWLK Hamiltonian correction was calculated by means of a comparison of the general structure of the NLO Hamiltonian with the NLO evolution equations of quark dipole [3] and Baryon [4]. The result found was suitable only for the case of JIMWLK Hamiltonian which is acting on gauge invariant structures [5] but was later on generalized for action on non-gauge invariant structures [6]. This review will present the lastest advancements in the field.