NEXT-TO-LEADING ORDER CALCULATION OF THE COLOR-OCTET 3S1 GLUON FRAGMENTATION FUNCTION FOR HEAVY QUARKONIUM

JUNGIL LEE
2001 International Journal of Modern Physics A  
The short-distance coefficients for the color-octet 3 S 1 term in the fragmentation function for a gluon to split into heavy quarkonium states is calculated to order α 2 s . The gauge-invariant definition of the fragmentation function by Collins and Soper is employed. Ultraviolet divergences are removed using the MS renormalization procedure. The longitudinal term in the fragmentation function agrees with a previous calculation by Beneke and Rothstein. The next-to-leading order correction to
more » ... er correction to the transverse term disagrees with a previous calculation.
doi:10.1142/s0217751x01006565 fatcat:e2kzwtm54zgvvhukl2f2q3yly4