Combining QED and QCD transverse-momentum resummation for Z boson production at hadron colliders

Understand

We consider the transverse-momentum ($q_T$) distribution of $Z$ bosons produced in hadronic collisions.

• At small values of $q_T$, we perform the analytic resummation of the logarithmically enhanced QED contributions up to next-to-leading logarithmic accuracy, including the mixed QCD-QED contributions at leading logarithmic accuracy.
• Resummed results are consistently matched with the next-to-leading fixed-order results (i.e.
• $\mathcal{O}(\alpha^2)$) at small, intermediate and large values of $q_T$.