Prospects for Measurements of Rare $B$ Decays and Other Heavy Flavour Physics at CMS

The Compact Muon Solenoid (CMS) is a multi-purpose detector operating at the Large Hadron Collider at CERN. Its excellent tracking system, combined with low momentum muon trigger capabilities, allows for precise studies of heavy flavour physics. The capabilities of the CMS experiment in this field have been studied in several benchmark processes. These studies are based on a full detector simulation and show the capability of CMS to identify, select and reconstruct heavy flavour decays, which present a significant challenge due to the high backgrounds and relatively low particle momenta. After a description of the detector, the trigger system, and the trigger strategy for $B$ physics, four heavy flavour analyses in CMS are presented: exclusive $B^0_s$ decays to $J\!/\!\psi\phi$ and to $\mu^+\mu^-$; a study of the $B^+_c$ meson; and the decay $\tau^-\rightarrow\mu^-\mu^-\mu^+$.