State of the art lattice results of QCD with light flavours

Abstract

Thanks to recent developments both in our understanding of lattice simulations and in computer power, lattice gauge theory now allows to perform non perturbative QCD computations with all the sources of error under control. I will review some recent results of the Budapest-Marseille-Wuppertal (BMW) collaboration: first computing the mass of the hadrons, an old desire of every particle physicist. Second π and K decay constants can be used to compute CKM matrix elements and constrain physics beyond the standard model. Finally we will see how the lattice can be used to compute quantities not directly accessible to experiments, but anyhow interesting such as the nucleon sigma terms. I will emphasise how the different sources of error are controlled to make physical predictions.