General properties of the decay amplitudes for massless particles

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file, 32 pages, to appear in Nucl. Phys. B. Improved presentation, some additional results and references, typos correct

Scientific paper

10.1016/0550-3213(96)00346-X

We derive the kinematical constraints which characterize the decay of any massless particle in flat spacetime. We show that in perturbation theory the decay probabilities of photons and Yang-Mills bosons vanish to all orders; the decay probability of the graviton 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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