Nonlinear evolution in the re-summed next-to-leading order of perturbative QCD: Confronting the experimental data

In this paper we compare the experimental HERA data with the next-to-leading order approach (NLO) of [Eur. Phys. J. C 80, 1029 (2020)]. This approach includes the re-summed NLO corrections to the kernel of the evolution equation, the correct asymptotic be