The transverse momentum spectrum of weak gauge bosons at N[Formula: see text] LL + NNLO

We present accurate QCD predictions for the transverse momentum ([Formula: see text] ) spectrum of electroweak gauge bosons at the LHC for [Formula: see text] collisions, based on a consistent combination of a NNLO calculation at large [Formula: see text] and N[Formula: see text] LL resummation in the small [Formula: see text] limit. The inclusion of higher order corrections leads to substantial changes in the shape of the differential distributions, and the residual perturbative uncertainties are reduced to the few percent level across the whole transverse momentum spectrum. We examine the ratio of [Formula: see text] distributions in charged- and neutral-current Drell–Yan production, and study different prescriptions for the estimate of perturbative uncertainties that rely on different degrees of correlation between these processes. We observe an excellent stability of the ratios with respect to the perturbative order, indicating a strong correlation between the corresponding QCD corrections. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (10.1140/epjc/s10052-019-7324-0) contains supplementary material, which is available to authorized users.