Mixed NNLO QCD × electroweak corrections to single-Z production in pole approximation: differential distributions and forward-backward asymmetry

Stefan Dittmaier (Albert-Ludwigs-Universität Freiburg, Physikalisches Institut, Hermann-Herder-Straße 3, Freiburg, D-79104, Germany) ; Alexander Huss (Theoretical Physics Department, CERN, Geneva 23, 1211, Switzerland) ; Jan Schwarz (Albert-Ludwigs-Universität Freiburg, Physikalisches Institut, Hermann-Herder-Straße 3, Freiburg, D-79104, Germany)

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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      "source": "Springer", 
      "value": "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 \u00d7 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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Published on:
14 May 2024
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2024 (2024)
Issue 5
Pages 1-42
DOI:
https://doi.org/10.1007/JHEP05(2024)170
arXiv:
2401.15682
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: