QCD RADIATIVE CORRECTION TO THE HADRONIC ANNIHILATION RATE OF 1(-) HEAVY QUARKONIUM()

The hadronic annihilation rate of 1(+-) heavy quarkonium is given to n ext-to-leading order in alpha(s) and leading order in v(2) using a rec ently developed factorization formalism which is. based on NRQCD. The result includes both the annihilation of the P-wave color-singlet <Q(Q )over bar> component, and the annihilation of the S-wave color octet < Q(Q)over bar> component of the quarkonium. The notorious infrared dive rgences due to soft gluons, i.e., the logarithms associated with the b inding energy, encountered in previous perturbative calculations of 1( +-) quarkonium decays, are found to be explicitly canceled, and a fini te result for the decay width to order alpha(s)(3) is then obtained.