Inclusion of mixed QCD–QED resummation effects at higher orders

Abstract

In this section, we review some recent results concerning the inclusion of mixed QCD–QED corrections in the computation of physical observables. First, we comment on the extension of the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (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 al- lows us 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 or resummation formalism, obtaining the universal ingredients that allow us to compute the aforementioned corrections to any process involving colourless and neutral particles in the final state.