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arXiv · 1606.07455

Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium

Xiangrui Gao·Yu Jia·LiuJi Li·Xiaonu Xiong
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Abstract

Inspired by the recent measurements of the $η_c$ meson production at LHC, we investigate the relativistic correction effect for the fragmentation function of the gluon into $η_c$, which constitutes the crucial nonperturbative elements to understand $η_c$ production at high $p_T$. Employing three distinct methods, we calculate the leading relativistic correction to the $g\toη_c$ fragmentation function in the NRQCD factorization framework, as well as verify the existing NLO result for the $c\to η_c$ fragmentation function. We also study the evolution behavior of these fragmentation functions with the aid of DGLAP equation.

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Xiangrui Gao, Yu Jia, LiuJi Li, Xiaonu Xiong. 2016-06-23. Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium. https://doi.org/10.1088/1674-1137%2F41%2F2%2F023103

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