Relativistic corrections to heavy quarkonium +γ production at super Z factory
Abstract
In the framework of nonrelativistic quantum chromodynamics, we study the 𝒪(v2) 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 3L1 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 ηc, J/ψ, ψ(2S), Υ, and ψ(3770), especially at FCC-ee.
Related
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BibTeX
@misc{wang2026relativistic,
title = {{Relativistic corrections to heavy quarkonium $+γ$ production at super Z factory}},
author = {Xiao-Peng Wang and Guang-Zhi Xu and Yi-Jie Li and Kui-Yong Liu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28911},
eprint = {2610.28911},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28911},
}
RIS
TY - UNPB
TI - Relativistic corrections to heavy quarkonium +γ production at super Z factory
AU - Xiao-Peng Wang
AU - Guang-Zhi Xu
AU - Yi-Jie Li
AU - Kui-Yong Liu
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28911
UR - https://arxiv.org/abs/2610.28911
AB - In the framework of nonrelativistic quantum chromodynamics, we study the 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.
ER -