F_L proton structure function from the unified DGLAP/BFKL approach

We compute the longitudinal proton structure function F_L from the k_T factorization scheme, using the unified DGLAP/BFKL resummation approach at small x for the unintegrated gluon density. The differences between the k_T factorization, collinear factorization and dipole approaches are analyzed and discussed. The comparisons with the HERA data are made and predictions for the proposed Large Hadron-Electron Collider are also provided.