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

We evaluate the unintegrated gluon distribution of the proton starting from a parametrization of the color dipole cross section including Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution and saturation effects. To this end, we perform the Fourier-Bessel transform of sigma(x,r)/alpha(r). At large transverse momentum of gluons we match the so-obtained distribution to the logarithmic derivative of the collinear gluon distribution. We check our approach by calculating the proton structure function F-L(x, Q(2)) finding good agreement with HERA data. (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP(3).