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arXiv · 1712.09986

Fragmentation function of gluon into spin-singlet $P$-wave quarkonium

Feng Feng·Saadi Ishaq·Yu Jia·Jia-Yue Zhang
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Abstract

Following the operator definition of the fragmentation function developed by Collins and Soper, we compute the gluon-to-$h_c$ fragmentation function at the lowest order in the velocity expansion in NRQCD factorization approach. Utilizing some modern technique developed in the area of multi-loop calculation, we are able to analytically deduce the infrared-finite color-singlet short-distance coefficient associated with the fragmentation function. The fragmentation probability for gluon into $h_c$ is estimated to be order $10^{-6}$.

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Feng Feng, Saadi Ishaq, Yu Jia, Jia-Yue Zhang. 2017-12-28. Fragmentation function of gluon into spin-singlet $P$-wave quarkonium. https://doi.org/10.1103/physrevd.102.014038

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