  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.
