Recent developments in $q_T$ subtraction: EW corrections and power suppressed contributions

Abstract: The $q_T$ subtraction formalism represents a well established and successful technique to deal with the computation of QCD radiative corrections up to NNLO (and beyond) for a large class of processes relevant at the LHC. We have explored the possibility to apply $q_T$ subtraction to the computation of EW corrections with the (final) aim to develop a subtraction formalism suitable for the computation of mixed QCD-EW corrections. We present numerical results for the complete NLO EW corrections to the Drell-Yan production of a massive lepton pair. Furthermore, we have investigated the structure of the power suppressed contributions at small-$q_T$ in this process and we present new analytical results on the effects of the soft radiation emitted off a charged massive final state.