On the Application of Gluon to Heavy Quarkonium Fragmentation Function

QI Wei; QIAO Cong-Feng; WANG Jian-Xiong

Chinese Physics C> 2007, Vol. 31> Issue(8) : 715-718

On the Application of Gluon to Heavy Quarkonium Fragmentation Function

Graduate University of Chinese Academy of Sciences, Beijing 100049, China2 Institute of High Energy Physics, CAS, Beijing 100049, China

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Abstract：
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→J/ψ 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 k. As |k|→∞, these fragmentation functions approach to the fragmentation function in the light-cone definition. We find that when |k| is small (for instance in the typical energy scale (about 4—20GeV) of the gluon production at the hadron colliders, such as Tevatron and LHC), large uncertainty remains while the in-covariant definitions of z are employed in the application of the fragmentation functions.

References

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. Braaten E, Doncheski M A, Fleming S. Phys. Lett., 1994,B333: 5482. Braaten E, Fleming S, YUAN T C. Ann. Rev. Nucl. Part.Sci., 1996, 46: 1973. Braaten E, YUAN T C. Phys. Rev. Lett., 1993, 71: 16734. WANG J X. Nucl. Instrum. Methods, 2004, A534: 2415. QIAO C F, YUAN F, CHAO K T. Phys. Rev., 1997, D55:5437

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QI Wei, QIAO Cong-Feng and WANG Jian-Xiong. On the Application of Gluon to Heavy Quarkonium Fragmentation Function[J]. Chinese Physics C, 2007, 31(8): 715-718.

QI Wei, QIAO Cong-Feng and WANG Jian-Xiong. On the Application of Gluon to Heavy Quarkonium Fragmentation Function[J]. Chinese Physics C, 2007, 31(8): 715-718. shu

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Received: 2006-12-22
Revised: 2007-01-26

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沈阳化工大学材料科学与工程学院沈阳 110142

On the Application of Gluon to Heavy Quarkonium Fragmentation Function

Corresponding author: QI Wei,

Graduate University of Chinese Academy of Sciences, Beijing 100049, China2 Institute of High Energy Physics, CAS, Beijing 100049, China

Received Date: 2006-12-22
Accepted Date: 2007-01-26
Available Online: 2007-08-05

Abstract: 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→J/ψ 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 k. As |k|→∞, these fragmentation functions approach to the fragmentation function in the light-cone definition. We find that when |k| is small (for instance in the typical energy scale (about 4—20GeV) of the gluon production at the hadron colliders, such as Tevatron and LHC), large uncertainty remains while the in-covariant definitions of z are employed in the application of the fragmentation functions.