Search for new physics in heavy quark decays at LHCb

Heavy quark decays are an excellent laboratory to search for physics beyond the Standard Model.The LHCb detector is specially design to measure $CP$ violation parameters and rare decays processes involving decays containing $b$- or $c$- quarks. In this paper, recent LHCb measurements concerning $CP$ violation parameters in the $B^0_s$ and charm sector, as as well as measurements of rare $b \to sl^+ l^-$ transitions, are presented