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In this talk, we describe the recent progress on the inclusion of mixedQCD-QED corrections for collider observables. In particular, we developed aformalism to extend $q_T$-resummation to deal with simultaneous emission ofgluons and photons. We applied it to $Z$ production at colliders, and brieflydiscuss extensions to more complicated final states.

Increasing the precision for $Z$ production at colliders: mixed QCD-QED effects