\begin{document}$ {}^1S_0^{(1,8)} $\end{document} Fock components of a quarkonium, at the lowest order in velocity expansion. We follow the operator definition of the fragmentation function advanced by Collins and Soper. The key technique underpinning our calculation is the sector decomposition method widely used in the area of multi-loop computation. It is found that the NLO QCD corrections have significant effects, and qualitatively modify the profiles of the corresponding leading-order fragmentation functions."> Next-to-leading-order QCD corrections to gluon fragmentation into <inline-formula><tex-math id="M1">\begin{document}${ {}^{\bf 1}{\boldsymbol S}_{\bf 0}^{\bf(1,8)} }$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/cpc/article/app/id/13e78327-29b8-4822-bc5e-10fbda3d5170/CPC-2022-0479_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/cpc/article/app/id/13e78327-29b8-4822-bc5e-10fbda3d5170/CPC-2022-0479_M1.png"/></alternatives></inline-formula> quarkonia -
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