Recent results on rare charm decays at LHCb

Rare decays of charmed hadrons are a powerful tool to search New Physics in the up-quark sector, complementary to searches in the strange and bottom hadron systems. In particular, anomalies in the $c \rightarrow u$ transitions, highly suppressed in the Standard Model, can be investigated in the decays with leptons of opposite charge in the final state. Given the high forward charm-anticharm production crosssection, LHCb is the ideal experiment for this type of studies. Two recent results on the semileptonic decays of the $D^0$ meson and the $\wedge^+_c$ baryon are presented.