QCD radiative correction to the hadronic annihilation rate of 1(+-) heavy quarkonium.

Hadronic annihilation rate of 1 heavy quarkonium is given to next-to-leading order in αs and leading order in v using a recently developed factorization formalism which is based on NRQCD. The result includes both the annihilation of P-wave color-singlet QQ̄ component, and the annihilation of S-wave color-octet QQ̄ component of the quarkonium. The notorious infrared divergences due to soft gluons, i.e., the Logarithms associated with the binding energy, encountered in previous perturbative calculations of 1 quarkonium decays are found to be explicitly cancelled, and a finite result for the decay width to order α s is then obtained. PACS number(s): 12.38.-t, 12.38.Bx, 13.20.Gd