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We study the unintegrated, or transverse momentum dependent (TMD) gluondistribution obtained from the best description of the LHC data on theinclusive spectra of hadrons produced in the mid-rapidity region and lowtransverse momenta at starting scale Q0^2 = 1 GeV^2. To extend this gluondensity at higher Q^2 we apply the Catani-Ciafoloni-Fiorani-Marchesini (CCFM)evolution equation. The influence of the initial (starting) non-perturbativegluon distribution is studied. The application of the obtained gluon density tothe analysis of the ep deep inelastic scattering allows us to get the resultswhich describe reasonably well the H1 and ZEUS data on the longitudinal protonstructure function FL(x,Q^2). So, the connection between the soft processes atLHC and small x physics at HERA has been confirmed and extended to a widekinematical region.

LHC soft physics and TMD gluon density at low x