E. Braaten et J. Lee, Next-to-leading order calculation of the color-octet S-3(1) gluon fragmentation function for heavy quarkonium, NUCL PHYS B, 586(1-2), 2000, pp. 427-439
The short-distance coefficients for the color-octet S-3(1) term in the frag
mentation function for a gluon to split into heavy quarkonium states is cal
culated to order alpha(s)(2). The gauge-invariant definition of the fragmen
tation function by Collins and Soper is employed. Ultraviolet divergences a
re removed using the MS renormalization procedure. The longitudinal term in
the fragmentation function agrees with a previous calculation by Beneke an
d Rothstein. The next-to-leading order correction to the transverse term di
sagrees with a previous calculation, (C) 2000 Elsevier Science B,V. All rig
hts reserved.