General properties of the decay amplitudes for massless particles
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We derive the kinematical constraints which characterize the decay of any massless particle in flat space-time. We show that in perturbation theory the decay probabilities of photons and Yang-Mills bosons vanish to all orders and the decay probability of gravitons vanishes to one-loop order for graviton loops and to all orders for matter loops, A general power counting argument indicates in which conditions a decay of a massless particle could be possible: the Lagrangian should contain a self-coupling without derivatives and with a coupling constant of positive mass dimension.
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