Application of gluon to heavy quarkonium fragmentation functions

Journal Article · Sun Apr 01 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.074012· OSTI ID:21020272

Qi, W ^[1]; Qiao, C -F ^[2]; Wang, J -X ^[1]

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1. Institute of High Energy Physics, Chinese Academy of Sciences, YuQuan Road 19B, Beijing 100049 (China)
2. Graduate School of the Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049 (China)

We analyze the uncertainties induced by different definitions of the momentum fraction z in the application of gluon to heavy quarkonium color-singlet fragmentation functions. We numerically calculate the initial g{yields}J/{psi} fragmentation functions at leading order (LO) by using the noncovariant definitions of z with finite gluon momentum and find that these fragmentation functions have strong dependence on the gluon momentum k-vector. As |k-vector|{yields}{infinity}, these fragmentation functions approach the fragmentation function in the light cone definition. Our numerical results show that large uncertainties remain while the noncovariant definitions of z are employed in the application of the fragmentation functions. We present for the first time the polarized gluon to J/{psi} color-singlet fragmentation functions at the leading nontrivial order in {alpha}{sub s} and relativistic expansion.

• OSTI ID: 21020272
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
GLUONS
J PSI-3097 MESONS
JET MODEL
LIGHT CONE
PARTICLE DECAY
QUANTUM CHROMODYNAMICS
RELATIVISTIC RANGE
VECTORS