Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-01-31
Phys.Rev.D75:074012,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, 7 figures;added reference for sec. 1
Scientific paper
10.1103/PhysRevD.75.074012
We analyze the uncertainties induced by different definitions of the momentum fraction $z$ in the application of gluon to heavy quarkonium fragmentation function. We numerically calculate the initial $g \to J / \psi$ fragmentation functions by using the non-covariant definitions of $z$ with finite gluon momentum and find that these fragmentation functions have strong dependence on the gluon momentum $\vec{k}$. As $| \vec{k} | \to \infty$, these fragmentation functions approach to the fragmentation function in the light-cone definition. Our numerical results show that large uncertainties remains while the non-covariant definitions of $z$ are employed in the application of the fragmentation functions. We present for the first time the polarized gluon to $J/\psi$ fragmentation functions, which are fitted by the scheme exploited in this work.
Qi Wang
Qiao Cong-Feng
Wang Jing-Xiu
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