Small QCD corrections in inclusive 0-+ quarkonium decay for the bound-state renormalization scheme

A consistent field theoretic computation of the first-order correction to the total decay of a non-relativistic heavy quarkonium state must consider contributions from the annihilation amplitude, with a typical scale of the order of the quark mass m, and from the bound-state wave function, where the typical scale is of the order of the Bohr momentum αsub(s)m. Therefore, not only the latter smaller scale is the one to be taken for the total decay rate, but also a quite specific renormalization, the 'bound-state renormalization scheme', must be used for a computation of the total inclusive decay rate of 0-+ -> hadrons. Due to important cancellations between large individual contributions, the net result turns out to be small, encouraging the use of pure perturbative QCD in such systems. (orig.)