Inclusion of mixed QCD-QED resummation effects at higher-orders

In this document, we review some recent results concerning the inclusion of mixed QCDQED corrections to the computation of physical observables. First, we comment on the extension of the DGLAP equations to deal with the presence of mixed QCD-QED interactions. We describe the calculation of the full set of higher-order corrections to the splitting kernels, through the Abelianization algorithm. This procedure allows to build the functional form of the QCD-QED corrections starting from pure QCD terms. As a practical application of this technique, we also explore the computation of fixed-order corrections to diphoton production, and the inclusion of higher-order mixed QCD-QED resummation effects to Z production. In both cases, we directly apply the Abelianization to the qT -subtraction/resummation formalism, obtaining the universal ingredients that allow to compute the beforehand mentioned corrections to any process involving colorless and neutral particles in the final state.