Abstract
The analytical expressions of the mixed QCD-EW corrections to on-shell Z boson inclusive production cross section at hadron colliders are presented, together with computational details. The results are given in terms of polylogarithmic functions and elliptic integrals. The impact on the prediction of the Z boson production total cross section is discussed, comparing different proton parton density sets.
Highlights
The Z boson production cross sectionWe discuss the theoretical framework, providing the details of perturbative contributions from various partonic channels which constitute the mixed QCD-EW corrections to the inclusive production cross section of the Z boson at hadron colliders
The production of an on-shell Z boson represents an approximation of the full neutralcurrent (NC) DY process, in that special kinematical configuration dominated by the Z-boson resonance
The theoretical uncertainty associated with missing higher-order EW corrections is formally at the next-to-next-to-leading order (NNLO)-EW level and it is significantly reduced compared to the leading order (LO) case
Summary
We discuss the theoretical framework, providing the details of perturbative contributions from various partonic channels which constitute the mixed QCD-EW corrections to the inclusive production cross section of the Z boson at hadron colliders. We discuss here the necessary steps to perform ultraviolet (UV) renormalisation and mass factorisation
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