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

F_L proton structure function from the unified DGLAP/BFKL approach