My research activity concerns the study of strongly interacting theories in the Standard Model (SM) and beyond (BSM). In particular I've been studying field theories regularised on a lattice, the only known approach which allow first-principle computations through numerical Monte Carlo techniques. During my career I have mainly studied QCD aspects relevant for the phenomenology of flavour physics and CP-violation within the SM and beyond. First of all by computing weak-matrix elements needed in the e ffective weak Hamiltonian approach to improve constraints on CKM and BSM parameters. In order to study B-physics quantities I contributed in the development of non-perturbative Heavy Quark Effective Theory (HQET) which, by working at a fixed order of the heavy-quark expansion, turns out to be a very useful tool to simulate the b-quark, too heavy for present available lattice spacing. Another interest, strictly related to the previous topics, is non-perturbative renormalisation where I have contributed in developing the two methods known at present, namely the RI-MOM scheme and the Schrรถdinger Functional scheme. I've also been working on the development of twisted-mass QCD, a regularisation that circumvents some of the drawbacks related to the explicit breaking of chiral symmetry present in the widely used Wilson's fermion discretisation. Another subject in which I have contributed is the investigation of baryon structure and spectroscopy. More recently I worked on exotic c-cbar and b-bbar meson spectroscopy, trying to understand the nature of the recently discovered X,Y,Z resonances. I have also started working on Large-N QCD, which represent an alternative expansion to perturbation theory in which many non-perturbative aspects of the theory appear in a natural way. However, many analytic properties of the large-N limit still need to be investigated (e.g. the short distance behaviour of correlation functions of composite operators or the non-perturbative structure of the renormalization counterterms). At the numerical level it would be very important to increase the accuracy in the computation of the glueball and meson spectra in the large N-limit. These studies represent a powerful guide to find a possible string theory solution of QCD.