Exclusive Leptonium Electroproduction
Abstract
Purely leptonic bound states provide precision probes of QED. Positronium (e+e-) and muonium (μ+e-) have long been observed, whereas dimuonium (μ+μ-) and tauonium (τ+τ-) remain undiscovered. We study exclusive vector-leptonium electroproduction in ep collisions within nonrelativistic QED. We include the Bethe--Heitler and double deeply virtual Compton scattering contributions and their interference, and calculate the NLO QCD hard-scattering kernels entering the dominant Compton form factor Hcal within collinear GPD factorization. The NLO QCD correction to the DDVCS contribution changes from a strong suppression at low photon virtuality to a sizable enhancement as the lower virtuality cut is raised, with the gluon channel providing the dominant contribution. Bethe--Heitler production dominates the exclusive rate, supporting dedicated dimuonium searches at the EIC and JLab, with larger samples expected at higher-energy electron--proton colliders. The much larger positronium samples provide a high-statistics environment for precision QED studies, whereas tauonium production remains strongly suppressed.
Related
- Observables in exclusive heavy quarkonium electroproduction at NLO and prospects for the EIC
- Role of the GPD-E in exclusive dijet electroproduction at the Electron-Ion Collider
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- Constraints on pion parton distributions at small x from leading-neutron electroproduction data
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BibTeX
@misc{deng2026exclusive,
title = {{Exclusive Leptonium Electroproduction}},
author = {Hao-ye Deng and Qi-Ming Feng and Qi-Wei Hu and Si-Qin Huang and Cong-Feng Qiao and Jia-Xuan Shen and Ting-Ting Wang and Shun-Yan Yu and Hao Zhang and Xuan-Heng Zhang and Yi-Nan Zhao},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30850},
eprint = {2608.30850},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30850},
}
RIS
TY - UNPB
TI - Exclusive Leptonium Electroproduction
AU - Hao-ye Deng
AU - Qi-Ming Feng
AU - Qi-Wei Hu
AU - Si-Qin Huang
AU - Cong-Feng Qiao
AU - Jia-Xuan Shen
AU - Ting-Ting Wang
AU - Shun-Yan Yu
AU - Hao Zhang
AU - Xuan-Heng Zhang
AU - Yi-Nan Zhao
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30850
UR - https://arxiv.org/abs/2608.30850
AB - Purely leptonic bound states provide precision probes of QED. Positronium (e^+e^-) and muonium (μ^+e^-) have long been observed, whereas dimuonium (μ^+μ^-) and tauonium (τ^+τ^-) remain undiscovered. We study exclusive vector-leptonium electroproduction in ep collisions within nonrelativistic QED. We include the Bethe--Heitler and double deeply virtual Compton scattering contributions and their interference, and calculate the NLO QCD hard-scattering kernels entering the dominant Compton form factor Hcal within collinear GPD factorization. The NLO QCD correction to the DDVCS contribution changes from a strong suppression at low photon virtuality to a sizable enhancement as the lower virtuality cut is raised, with the gluon channel providing the dominant contribution. Bethe--Heitler production dominates the exclusive rate, supporting dedicated dimuonium searches at the EIC and JLab, with larger samples expected at higher-energy electron--proton colliders. The much larger positronium samples provide a high-statistics environment for precision QED studies, whereas tauonium production remains strongly suppressed.
ER -