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In this article, we study in detail the double-J/ψ yield through Z decay at the next-to-leading-order (NLO) QCD accuracy within the nonrelativistic QCD factorization. At the tree level, the pure QCD diagrams predict a branching ratio of $$ {\mathcal{B}}_{Z\to J/\psi +J/\psi } $$ B Z → J / ψ + J / ψ ~ 10−12; however, the inclusion of the QED diagrams would augment this prediction by approximately 2–3 orders of magnitude. After incorporating the QCD corrections, the QCD results exhibit a considerable increase, whereas the QED results undergo a substantial reduction. Combining the QCD and QED contributions at NLO in αs, it is observed that the prediction of $$ {\mathcal{B}}_{Z\to J/\psi +J/\psi } $$ B Z → J / ψ + J / ψ = ($$ {1.110}_{-0.241-0.001}^{+0.334+0.054} $$ 1.110 − 0.241 − 0.001 + 0.334 + 0.054 ) × 10−10, which displays a fairly steady dependence on the renormalization scale, is significantly lower than the upper limits released by CMS.
In this article, we study in detail the double-J/ψ yield through Z decay at the next-to-leading-order (NLO) QCD accuracy within the nonrelativistic QCD factorization. At the tree level, the pure QCD diagrams predict a branching ratio of $$ {\mathcal{B}}_{Z\to J/\psi +J/\psi } $$ B Z → J / ψ + J / ψ ~ 10−12; however, the inclusion of the QED diagrams would augment this prediction by approximately 2–3 orders of magnitude. After incorporating the QCD corrections, the QCD results exhibit a considerable increase, whereas the QED results undergo a substantial reduction. Combining the QCD and QED contributions at NLO in αs, it is observed that the prediction of $$ {\mathcal{B}}_{Z\to J/\psi +J/\psi } $$ B Z → J / ψ + J / ψ = ($$ {1.110}_{-0.241-0.001}^{+0.334+0.054} $$ 1.110 − 0.241 − 0.001 + 0.334 + 0.054 ) × 10−10, which displays a fairly steady dependence on the renormalization scale, is significantly lower than the upper limits released by CMS.
In this paper, we employ the nonrelativistic quantum chromodynamics (QCD) factorization to conduct a comprehensive examination of the Z boson decay into a pair of ϒ mesons, achieving accuracy at the next-to-leading-order (NLO) in αs. Our calculations demonstrate that the quantum electrodynamics (QED) diagrams are indispensable in comparison to the pure QCD diagrams, and the implementation of QCD corrections markedly enhances the QCD results, whereas it substantially diminishes the QED results. To ensure consistency with the experimental methodology, we have taken into account the feed-down transitions originating from higher excited states, which exhibit significant relevance. Combining all the contributions, we arrive at the NLO prediction of BZ→ϒ(nS)+ϒ(mS)∼10−11, which is notably lower than the upper limits set by CMS. Published by the American Physical Society 2024
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