$B_d \to K^*\mu\mu$ as a lab for discovering new physics at LHCb

The analysis of the penguin decay $B_d \to K^*\mu\mu$ at LHCb can act as a laboratory for the discovery and understanding of new physics. Through the Operator Product Expansion, the decay kinematics are well understood in both the Standard Model and in a large range of new physics scenarios. The theoretical errors from QCD effects can be characterized and a set of observables have been derived which minimise their influence in measurements. We will describe how these measurements can be made in LHCb with special emphasis on what can be done with a first run of the LHC with a few hundred pb$^{-1}$ of integrated luminosity.