DIMENSIONAL REGULARIZATION IN QUARKONIUM CALCULATIONS

Dimensional regularization is incompatible with the standard covariant projection methods that are used to calculate the short-distance coef ficients in inclusive heavy-quarkonium production and annihilation rat es. A new method is developed that allows dimensional regularization t o be used consistently to regularize the infrared and ultraviolet dive rgences that arise in these perturbative calculations. We illustrate t he method by calculating the leading color-octet terms and the leading color-singlet terms in the gluon fragmentation functions for arbitrar y quarkonium states. We resolve a discrepancy between two previous cal culations of the gluon fragmentation functions for the spin-tripler P- wave quarkonium states.