The possibility of probing the existence of beyond the Standard Model physics via precision measurements is of renewed importance given the current lack of signs of new particles being produced at the LHC.
One of the most important quantities in that regard is the mass of the W boson. Advanced theoretical predictions and sophisticated experimental techniques are required for measuring MW at LHC with the precision required to provide meaningful BSM bounds.
At the same time, in order to properly compare the experimental determination with the theoretical predictions, it is important to estimate properly the uncertainties affecting the experimental value as extracted with the current setup.
In this talk I will present two studies concerning two theoretical/modelling aspects that are currently part of the error budget of MW as measured at the LHC, one focused on the impact of bottom quark associated processes, and one focused on PDF uncertainties.