Transverse-momentum resummation: Vector boson production and decay at hadron colliders

We consider the W and Z/γ∗ bosons transverse-momentum (qT) distribution at hadron colliders. We include the leptonic decay of vector bosons with the corresponding spin correlations, the finite width effects and the fully-differential dependence on leptonic variables. At small values of qT, we resum to all-orders the logarithmically-enhanced perturbative QCD contributions up to next-to-next-to-leading logarithmic accuracy. Resummed results are consistently combined with the next-to-leading fixed-order result at intermediate and large values of qT. We present a preliminary comparison with some of the available LHC data.