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We develop a systematic framework for exclusive rare B decays of the type B-> K(*)l+l- at large dilepton invariant mass q^2. It is based on an operatorproduct expansion (OPE) for the required matrix elements of the nonleptonicweak Hamiltonian in this kinematic regime. Our treatment differs from previouswork by a simplified operator basis, the explicit calculation of matrixelements of subleading operators, and by a quantitative estimate of dualityviolation. The latter point is discussed in detail, including the connectionwith the existence of an OPE and an illustration within a simple toy model.

Theory of B -> K(*)l+l- decays at high q^2: OPE and quark-hadron duality