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arXiv · 2610.28911

Relativistic corrections to heavy quarkonium $+γ$ production at super Z factory

Xiao-Peng Wang·Guang-Zhi Xu·Yi-Jie Li·Kui-Yong Liu
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Abstract

In the framework of nonrelativistic quantum chromodynamics, we study the $\mathcal{O}(v^2)$ relativistic corrections to heavy-quarkonium production associated with a photon at future electron-positron colliders operated in the Z-factory mode. S-, P-, and D-wave heavy quarkonia as well as the mixed state $ψ(3770)$ are considered. We comprehensively investigate tree-level $s$-channel processes for all states, together with $t$-channel contributions that apply only to ${}^3L_1$ states. It is found that the relativistic corrections substantially reduce the LO cross sections for charmonium states by roughly $20\%$-$70\%$, while the reduction is milder for bottomonium, at the level of $10\%$-$30\%$. Event yields for all studied channels are calculated, and sizable event yields are expected for $η_c$, $J/ψ$, $ψ(2S)$, $Υ$, and $ψ(3770)$, especially at FCC-ee.

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Xiao-Peng Wang, Guang-Zhi Xu, Yi-Jie Li, Kui-Yong Liu. 2026-10-20. Relativistic corrections to heavy quarkonium $+γ$ production at super Z factory. https://arxiv.org/abs/2610.28911

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