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We evaluate the unintegrated gluon distribution of the proton starting from aparametrization of the color dipole cross section including DGLAP evolution andsaturation effects. To this end, we perform the Fourier-Bessel transform of$\sigma(x,r)/\alpha(r)$. At large transverse momentum of gluons we match theso-obtained distribution to the logarithmic derivative of the collinear gluondistribution. We check our approach by calculating the proton structurefunction $F_L(x,Q^2)$ finding good agreement with HERA data.

Unintegrated gluon distributions from the color dipole cross section in the BGK saturation model