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arXiv · hep-ph/9601283

QCD Radiative Correction to the Hadronic Annihilation Rate of $1^{+-}$ Heavy Quarkonium

Han-Wen Huang·Kuang-Ta Chao
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Abstract

Hadronic annihilation rate of $1^{+-}$ heavy quarkonium is given to next-to-leading order in $α_s$ and leading order in $v^2$ using a recently developed factorization formalism which is based on NRQCD. The result includes both the annihilation of P-wave color-singlet $Q\bar{Q}$ component, and the annihilation of S-wave color-octet $Q\bar{Q}$ component of the quarkonium. The notorious infrared divergences due to soft gluons, i.e., the Logarithms associated with the binding energy, encountered in previous perturbative calculations of $1^{+-}$ quarkonium decays are found to be explicitly cancelled, and a finite result for the decay width to order $α_s^3$ is then obtained.

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Han-Wen Huang, Kuang-Ta Chao. 1997-08-18. QCD Radiative Correction to the Hadronic Annihilation Rate of $1^{+-}$ Heavy Quarkonium. https://doi.org/10.1103/physrevd.54.3065%2010.1103%2Fphysrevd.56.7472%2010.1103%2Fphysrevd.60.079901

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