### The Fragmentation Function of Gluon Splitting into P-wave Spin-singlet Heavy QuarkoniumThe Fragmentation Function of Gluon Splitting into P-wave Spin-singlet Heavy Quarkonium

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 Author Hao, Gang ♦ Zuo, YaBing ♦ Qiao, Cong-Feng Source arXiv.org Content type Text File Format PDF Date of Submission 2009-11-30 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Phenomenology ♦ physics:hep-ph Abstract The gluon fragmentation function of $g \to h_c$ at leading order of strong coupling constant $\alpha_s$ and typical velocity $v$ is calculated in the framework of NRQCD, of which the contributions from both color-singlet and -octet processes are taken into account and hence the result is infrared safe. It is found that the fragmentation probability of a high energy virtual gluon to split into $h_c$ is about $7.1\times 10^{-7}$. The analytic fragmentation function presented in this work can be employed to the study of $h_c$ production in large transverse momentum at hadron colliders, such as Large Hadron Collider(LHC), and is also applicable for the study of $h_b$ hadronproduction. Educational Use Research Learning Resource Type Article Page Count 10