We present the first analytical results for the $\mathcal{O}(\alpha {\alpha }_s)$ corrections to the total cross section for the inclusive production of an on-shell $Z$ boson at hadron colliders. We include the complete set of contributions, with photonic and massive weak gauge boson effects, which have been computed in analytical form and expressed in terms of polylogarithmic and elliptic integrals. We present numerical results, relevant for the precision studies at the LHC. These corrections increase the accuracy of the predictions and contribute to the reduction of the QCD component of the theoretical uncertainty.

中文翻译：

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对ShellZProduction的下一个到下一个顺序的混合QCD-Electroweak校正

我们提出了第一个分析结果 $\mathcal{Ø}（\alpha {\alpha }_s）$ 包括壳体在内的总横截面的校正 $ž$强子对撞机的玻色子。我们包括了完整的贡献集，包括光子效应和大规模弱规格玻色子效应，这些效应已经以分析形式进行了计算，并用对数和椭圆积分表示。我们提供的数值结果与大型强子对撞机的精度研究有关。这些校正可以提高预测的准确性，并有助于减少理论不确定性的QCD分量。