The search for New Physics has been one of the main goals of particle
physics for several years. Despite the fact that the Standard Model
does not seem a good candidate to be the final theory of elementary
interactions it has been able to describe many sub-atomic phenomena
with an impressive precision.
A promising way to look for New Physics consists of the measurement of
processes which are highly suppressed in the SM, where New Physics can
in principle have relatively large effects. Rare decays of B-mesons
are particularly interesting since several observables sensitive to
New Physics and where QCD uncertainties are well under control can be
built. I will discuss present measurements and prospects for the study
of rare B-decays at LHCb. In particular, the measurement of the
branching ratio of the Bs->mumu decay and angular asymmetries in the
decay Bd->K*mumu will be discussed.