Abstract
Radiative corrections in pole approximation, which are based on the leading contribution in a systematic expansion of amplitudes about resonance poles, naturally decompose into factorizable corrections attributed to the production or decay of the resonance and non-factorizable corrections induced by soft photon (or gluon) exchange between those subprocesses. In this paper we complete an earlier calculation of mixed QCD × electroweak corrections of \(\mathcal{O}\left({\alpha }_{{\text{s}}}\alpha \right)\) to the neutral-current Drell-Yan cross section in pole approximation by including the previously neglected corrections that are solely related to the Z-boson production process. We present numerical results both for differential distributions and for the forward-backward asymmetry differential in the lepton-pair invariant mass, which is the key observable in the measurement of the effective weak mixing angle at the LHC. Carefully disentangling the various types of factorizable and non-factorizable corrections, we find (as expected in our earlier work) that the by far most important contribution at \(\mathcal{O}\left({\alpha }_{{\text{s}}}\alpha \right)\) originates from the interplay of initial-state QCD corrections and electroweak final-state corrections.
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Acknowledgments
We thank Timo Schmidt for contributions in the calculation of integrals in an early stage of this work. SD and JS acknowledge support by the state of Baden-Württemberg through bwHPC and the German Research Foundation (DFG) through grants no. INST 39/963-1 FUGG, grant DI 785/1, and the DFG Research Training Group RTG2044.
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Dittmaier, S., Huss, A. & Schwarz, J. Mixed NNLO QCD × electroweak corrections to single-Z production in pole approximation: differential distributions and forward-backward asymmetry. J. High Energ. Phys. 2024, 170 (2024). https://doi.org/10.1007/JHEP05(2024)170
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DOI: https://doi.org/10.1007/JHEP05(2024)170