The wealth of very precise data collected by the Tevatron and LHC experiments is offering the possibility of new high-precision tests of the Standard Model. In this talk I will review the status of the determination of two important pseudo-observables of the EW sector: the W boson mass and the sinus of the weak mixing angle. I will discuss the challenges that have to be faced at the LHC to achieve results competitive with those from LEP and from the Tevatron. Eventually, I will briefly summarize the impact of these high precision studies in view of the searches for signals of physics beyond the Standard Model.