  Building upon the formulation of transverse-momentum resummation for
heavy-quark hadroproduction, we present the first application of the $q_T$
subtraction formalism to the computation of electroweak corrections to massive
lepton pairs through the Drell-Yan mechanism. We then study the power
suppressed contributions to the $q_T$ subtraction formula in the parameter
$r_{cut}$, defined as the minimum transverse momentum of the lepton pair
normalised to its invariant mass. We analytically compute the leading power
correction from initial and final-state radiation to the inclusive cross
section. In the case of initial-state radiation the power correction is
quadratic in $r_{cut}$ and our analytic result is consistent with results
previously obtained in the literature. Final-state radiation produces linear
contributions in $r_{cut}$ that may challenge the efficiency of the $q_T$
subtraction procedure. We explicitly compute the linear power correction in the
case of the inclusive cross section and we discuss the extension of our
calculation to differential distributions.
