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Effects of non-linear small-x evolution of the gluon distribution given bythe Balitsky-Kovchegov equation are analyzed within the collinear approximationframework. We perform a twist decomposition of the proton structure functionsF2 and FL obtained from the Balitsky-Kovchegov equation using the Mellinrepresentation of the scattering cross-sections at high energies. In both thestructure functions we find strong corrections coming from the non-lineareffects in the gluon evolution at twist 2, and strongly suppressed higher twisteffects. This implies that unitarization effects of high energy scatteringamplitudes are mostly the leading twist effect. Furthermore we consider thedouble logarithmic limit of the Balitsky--Kovchegov equation for the collineargluon distribution, and compare the result to the Gribov-Levin-Ryskin equation.We find that these two equations differ by two powers of the hard scalelogarithm for the large scales.

Twist decomposition of non-linear effects in Balitsky-Kovchegov evolution of proton structure functions