Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-11-30
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 3 figures
Scientific paper
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.
Hao Gang
Qiao Cong-Feng
Zuo Ya-Bing
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