Weak decays of heavy hadrons provide an excellent way to test the flavour and QCD structure of the SM. In this talk, I will present recent results and ongoing work on the study of both inclusive and exclusive decays, in both the beauty and charm sectors. Specifically, I will start by discussing the current status of the heavy quark expansion (HQE) and its application to the study of heavy hadron lifetimes. Then, I will describe the analysis of non-leptonic two body $B$- and $D$-meson decays using the framework of light-cone sum rules (LCSR), in light of the observed tensions in channels like $B^0 \to D^+ K^-$, and of the recent discovery of CP violation in the charm sector.
Ankita Budhraja, Juraj Klaric, Johannes Michel, Tanjona R. Rabemananjara