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Résumé : I discuss some simple aspects of the low-energy physics of a nontrivial scale invariant sector of an effective field theory. I argue that the unparticle stuff described by such a theory might actually exist in our world. I suggest a scenario in which some details of the production of unparticle stuff can be calculated. I find that unparticle stuff with scale dimension $d_{\mathcal{U}}$ looks like a non-integral number $d_{\mathcal{U}}$ of invisible particles. Thus evidence for a nontrivial scale invariant sector could show up experimentally in missing energy distributions.