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A model to treat the anomalous Hall effect is developed. Based on the Kuboformalism and on the Dirac equation, this model allows the simultaneouscalculation of the skew-scattering and side-jump contributions to the anomalousHall conductivity. The continuity and the consistency with theweak-relativistic limit described by the Pauli Hamiltonian is shown. For bothapproaches, Dirac and Pauli, the Feynman diagrams, which lead to theskew-scattering and the side-jump contributions, are underlined. In order toillustrate this method, we apply it to a particular case: a ferromagnetic bulkcompound in the limit of weak-scattering and free-electrons approximation.Explicit expressions for the anomalous Hall conductivity for bothskew-scattering and side-jump mechanisms are obtained. Within this model, therecently predicted ''spin Hall effect'' appears naturally

Theory of the anomalous Hall effect from the Kubo formula and the Dirac equation