O(α_s^2)-corrections to JIMWLK evolution from the classical equations of motion

Abstract

In this work we calculate some O(α_s^2) corrections to the JIMWLK kernel in the framework of the light-cone wave function approach to the high energy limit of QCD. The contributions that we consider originate from higher order corrections in the strong coupling and in the density of the projectile to the solution of the classical equations of motion that determine the Weizsäcker-Williams fields of the projectile. We study the structure of these corrections in the dipole limit, showing that they are subleading in the large-N limit and that they cannot be fully recast in the form of dipole degrees of freedom, but rather present a complicated color structure.

17 pages, 3 figures. Comments added and typos corrected

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• On the High Energy Behaviour of The Total Cross Section in the QCD Dipole Model
• Wave function derivation of the JIMWLK equation
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