Abstract
The effect of the self coupling of gluons on the direct photon spectrum in the decay ϒ(1s) → ggγ is estimated using a parton-shower Monte Carlo approximation to QCD perturbation theory. Outgoing gluons radiate additional gluons thereby developing an invariant mass which distorts the Dalitz plot for the decay resulting in photons of less energy than the “naive” massless gluon prediction. The correction to the “Born term” photon spectrum is sizable and is not very sensitive to the value of the QCD parameter Λ.
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