PT Journal AU Autieri, A Cieri, L Ferrera, G Sborlini, GFR TI Combining QED and QCD transverse-momentum resummation for W and Z boson production at hadron colliders SO Journal of High Energy Physics JI J. High Energy Phys. PY 2023 BP 104 EP 30pp VL 07 IS 7 DI 10.1007/JHEP07(2023)104 LA English DE Electroweak Precision Physics; Precision QED; Resummation AB In this article, we consider the transverse momentum (qT) distribution of W and Z bosons produced in hadronic collisions. We combine the qT resummation for QED and QCD radiation including the QED soft emissions from the W boson in the final state. In particular, we perform the resummation of enhanced logarithmic contributions due to soft and collinear emissions at next-to-leading accuracy in QED, leading-order accuracy for mixed QED-QCD and next-to-next-to-leading accuracy in QCD. In the small-qT region we consistently include in our results the next-to-next-to-leading order (i.e. two loops) QCD corrections and the next-to-leading order (i.e. one loop) electroweak corrections. The matching with the fixed-order calculation at large qT has been performed at next-to-leading order in QCD (i.e. at O(alpha(2)(S))) and at leading order in QED. We show numerical results for W and Z production at the Tevatron and the LHC. Finally, we consider the effect of combined QCD and QED resummation for the ratio of W and Z qT distributions, and we study the impact of the QED corrections providing an estimate of the corresponding perturbative uncertainties. ER