[en] One of the main portals towards physics Beyond the Standard Model (BSM) are the heavy flavor meson decays to leptons as they proceed entirely through loop effects and are additionally suppressed by the chiral nature of the weak interactions. Thus their sensitivity to possible BSM virtual effects could be enhanced. B → sll transitions provide some of the strongest constraints on BSM physics. Interestingly, a number of anomalies of various significances have shown up in the first LHCb data for some of these modes. These anomalies seem to suggest the possibility of BSM physics with a hierarchy of the generations in the coupling to BSM particles, where the tau leptons should couple most strongly. Less studied because more challenging from a theoretical point of view, the charmed transition c → ull might also exhibit similar anomalies. This kind of searches, often qualified as indirect, relies on two ingredients: precision measurements and accurate predictions; this thesis is devoted to both aspects. At first, I focus on how to improve the predictions for the less studied charmed decay D⁺ → π⁺l⁺l^-; then, I present the experimental measurement of the B⁰_(s) → τ⁺τ^- decay. (author)