Relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium
Abstract
We use the NRQCD factorization formalism to calculate the relativistic corrections to the fragmentation function for a gluon fragmenting into a spin-triplet S-wave heavy quarkonium. We make use of the gauge-invariant formulation of the fragmentation function of Collins and Soper. The color-octet contribution receives a large, negative relativistic correction, while the color-singlet contribution receives a large, positive relativistic correction. The considerable decrease in the color-octet contribution requires a corresponding increase in the phenomenological value of the leading color-octet matrix element in order to maintain a fit to the Fermilab Tevatron data.
Cite
@article{arxiv.hep-ph/0308016,
title = {Relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium},
author = {Geoffrey T. Bodwin and Jungil Lee},
journal= {arXiv preprint arXiv:hep-ph/0308016},
year = {2009}
}
Comments
version to appear in Phys. Rev. D, 19 pages, RevTeX, 3 Postscript figures, Mathematica notebook file integrands.nbx contains color-singlet integrands