Application of gluon to heavy quarkonium fragmentation functions
- Institute of High Energy Physics, Chinese Academy of Sciences, YuQuan Road 19B, Beijing 100049 (China)
- 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, Vol. 75, Issue 7; Other Information: DOI: 10.1103/PhysRevD.75.074012; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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