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We compute corrections of relative order v^4 to the rates for the decays of^1S_0 heavy quarkonium into two photons and into light hadrons and for thedecays of ^3S_1 heavy quarkonium into a lepton pair and into light hadrons. Inparticular, we compute the coefficients of the decay operators that have thesame quantum numbers as the heavy quarkonium. We also confirm previouscalculations of the order-v^2 corrections to these rates. We find that the vexpansion converges well for the decays of ^1S_0 heavy quarkonium and for thedecay of ^3S_1 heavy quarkonium into a lepton pair. Large higher-order-in-vcorrections appear in the decay of ^3S_1 heavy quarkonium into light hadrons.However, we find that the series of coefficients of operators with ^3S_1quantum numbers, which yields a large correction in order v^2, yields a smallercorrection in order v^4.Comment: 29 pages, REVTEX, Phys. Rev. D version, minor change

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Order-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">v</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>corrections to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">S</mml:mi></mml:math>-wave quarkonium decay

Order-v4corrections toS-wave quarkonium decay