Double heavy quarkonia production with color-octet channels at Z factory and at the CEPC/FCC-ee

Fuente: arXiv
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Auteurs principaux: Wang, Xiao-Peng, Xu, Guang-Zhi, Liu, Kui-Yong
Format: Preprint
Publié: 2025
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author Wang, Xiao-Peng
Xu, Guang-Zhi
Liu, Kui-Yong
author_facet Wang, Xiao-Peng
Xu, Guang-Zhi
Liu, Kui-Yong
contents Within the NRQCD framework, we calculate the exclusive production of double heavy quarkonium(double charmonium and double bottomonium) at future super $Z$ factory and at the CEPC/FCC-ee. The color-octet(CO) channels in the $γ^*/Z^*$-propagated process are considered along with the color-singlet(CS) channels. We found that the contributions of CO states to the total cross section are significant or dominant for many processes within energy region at $Z$ factory and at the CEPC/FCC-ee. The experimental measurements will help us to verify the CO mechanism. Among these CO channels, the gluon fragmentation into $^3S_1^{8}$ states is most important. Thus, the comparison between the theoretical results and future data will give a strong constraint to the matrix elements $\langle\mathcal{O}\left(^3S_1^{[8]}\right)\rangle$. Additionally, we consider the relativistic corrections to both the CS and CO channels which decrease the cross sections significantly. Specially, the $K$ factors are about $0.5$ for most charmonium channels. We get estimates of the events for double heavy quarkonium production. The final events of $J/ψ+η_c$, $J/ψ+J/ψ$, $Υ+η_b$, $Υ+Υ$ production would be (22, 570, 71, 61) and (206, 5343, 665, 576) at the CEPC (2-year) and at the FCC-ee (4-year) for the $Z$ factory mode, respectively.
format Preprint
id arxiv_https___arxiv_org_abs_2501_15575
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Double heavy quarkonia production with color-octet channels at Z factory and at the CEPC/FCC-ee
Wang, Xiao-Peng
Xu, Guang-Zhi
Liu, Kui-Yong
High Energy Physics - Phenomenology
Within the NRQCD framework, we calculate the exclusive production of double heavy quarkonium(double charmonium and double bottomonium) at future super $Z$ factory and at the CEPC/FCC-ee. The color-octet(CO) channels in the $γ^*/Z^*$-propagated process are considered along with the color-singlet(CS) channels. We found that the contributions of CO states to the total cross section are significant or dominant for many processes within energy region at $Z$ factory and at the CEPC/FCC-ee. The experimental measurements will help us to verify the CO mechanism. Among these CO channels, the gluon fragmentation into $^3S_1^{8}$ states is most important. Thus, the comparison between the theoretical results and future data will give a strong constraint to the matrix elements $\langle\mathcal{O}\left(^3S_1^{[8]}\right)\rangle$. Additionally, we consider the relativistic corrections to both the CS and CO channels which decrease the cross sections significantly. Specially, the $K$ factors are about $0.5$ for most charmonium channels. We get estimates of the events for double heavy quarkonium production. The final events of $J/ψ+η_c$, $J/ψ+J/ψ$, $Υ+η_b$, $Υ+Υ$ production would be (22, 570, 71, 61) and (206, 5343, 665, 576) at the CEPC (2-year) and at the FCC-ee (4-year) for the $Z$ factory mode, respectively.
title Double heavy quarkonia production with color-octet channels at Z factory and at the CEPC/FCC-ee
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2501.15575