Ricerca di decadimenti dell'Higgs in quark pesanti a collider adronici e al futuro collisore di muoni

The goal of this thesis is to study the heavy flavour decays of the Higgs boson at LHCb, one of the experiments at the Large Hadron Collider, and at a Future Collider proposal, the Muon Collider, where muons will be collided at multi-TeV center of mass energy. At LHCb a set of Machine Learning algorithms have been used to set upper limits on the inclusive H → bb̄ and H → cc̄ production, using data from 2016 dataset at 13 TeV center of mass energy. At the Muon Collider, the performance in the heavy quarks flavour tagging in the presence of the beam-induced background have been evaluated and the uncertainties on the measurement of the double Higgs cross section and the trilinear Higgs self-coupling at 3 TeV center of mass energy have been calculated.