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Recently, Energy Efficient (EE) communications have received increasing interest specially in cellular networks. Promising techniques, such as MIMO and Base Station (BS) Cooperation schemes, have been widely studied in the past to improve the spectral efficiency and the reliability. Nowadays, the purpose is to investigate how these techniques can reduce the energy consumption of the systems. In this paper, we address for a single user scenario the energy efficiency of two BSs cooperation under limited backhaul capacity. In order to evaluate the EE metric, we provide an information-theoretical analysis based on the outage probability. Then, we identify by numerical results the cooperation scenarios that can save energy depending on the backhaul capacity.