Z-boson decays into S-wave quarkonium plus a photon up to \cal O(α_s v²) corrections

2023/12/14 by Wang, Guang-Yu, Zheng, Xu-Chang, Wu, Xing-Gang +1
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2312.08796

Abstract

In this paper, we calculate the decay widths and branching fractions for the decays Z → H+ γ up to \cal O(α_s v²) accuracy within the framework of nonrelativistic QCD, where H stands for the S-wave quarkonium η_c, J/ψ, η_b or Υ, respectively. To compare with the leading-order terms, those corrections show good perturbative behavior as expected. It is found that contributions from the next-to-leading order QCD correction \cal O(α_sv⁰), the relativistic correction \cal O(α⁰_sv²) and their joint correction \cal O(α_s v²) are sizable and comparable to each other, especially for the charmonium case. Thus we need to take all of them into consideration for a sound estimation. For a high luminosity electron-positron collider running around the Z-pole, due to Z-boson resonance effect, sizable events could be produced from those rare decay channels.

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