In this proceeding, based on our paper [1], we discuss the combined QCD-QED transverse-
momentum resummation formalism for weak vector boson production at hadron colliders. Specif-
ically, logarithmic-enhanced terms, originated by soft and/or collinear QCD and QED radiation,
are consistently evaluated and resummed at NNLL+NNLO in QCD with the inclusion of mixed
QCD-QED effects at LL and pure QED ones at NLL matched with fixed-order full-EW NLO
contribution (i.e. at one loop). A naive Abelianization procedure of the well-established QCD
formalism [2], which has been yet employed in literature in order to obtain the QED contributions
for on-shell Z boson production [3], is not sufficient for on-shell W boson production, due to the
electric charge of the final state. In particular, for this situation, we performed an Abelianization
of heavy-quark resummation formalism [4], thus resumming properly also QED final-state soft
radiation. The inclusion of this last contribution, represents the main original feature of our study.
Numerical results at hadron colliders (Tevatron, LHC) are presented for on-shell Z and W boson
transverse-momentum distribution and their ratio, showing a non-trivial modification of the shape
caused by final-state radiation and QED effects up to percent level.